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</span><span class="fc2 sc0">t</span><span class="fc2 sc0">h</span><span class="fc2 sc0">e</span></div><div class="t m0 xf h5 y12 ff2 fs2 fc1 sc0 ls0 ws0"><span class="fc2 sc0">B</span><span class="fc2 sc0">o</span><span class="_ _4"></span><span class="fc2 sc0">o</span><span class="_ _3"></span><span class="fc2 sc0">k</span><span class="fc2 sc0"> </span><span class="fc2 sc0">C</span><span class="_ _0"></span><span class="fc2 sc0">i</span><span class="fc2 sc0">t</span><span class="fc2 sc0">a</span><span class="fc2 sc0">t</span><span class="fc2 sc0">i</span><span class="fc2 sc0">o</span><span class="_ _3"></span><span class="fc2 sc0">n</span><span class="fc2 sc0"> </span><span class="fc2 sc0">I</span><span class="_ _1"></span><span class="fc2 sc0">n</span><span class="fc2 sc0">d</span><span class="fc2 sc0">e</span><span class="_ _0"></span><span class="fc2 sc0">x</span><span class="fc2 sc0"> </span><span class="fc2 sc0">i</span><span class="fc2 sc0">n</span><span class="fc2 sc0"> 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_3"></span><span class="fc2 sc0">o</span><span class="_ _3"></span><span class="fc2 sc0">l</span><span class="_ _0"></span><span class="fc2 sc0">l</span><span class="_ _0"></span><span class="fc2 sc0">e</span><span class="_ _3"></span><span class="fc2 sc0">c</span><span class="fc2 sc0">t</span><span class="_ _0"></span><span class="fc2 sc0">i</span><span class="fc2 sc0">o</span><span class="_ _0"></span><span class="fc2 sc0">n</span><span class="_ _0"></span><span class="fc2 sc0"> </span><span class="fc2 sc0">(</span><span class="fc2 sc0">B</span><span class="fc2 sc0">K</span><span class="fc2 sc0">C</span><span class="_ _0"></span><span class="fc2 sc0">I</span><span class="_ _1"></span><span class="fc2 sc0">)</span></div><div class="t m0 x11 h6 y14 ff2 fs3 fc1 sc0 ls0 ws0"><span class="fc2 sc0">C</span><span class="fc2 sc0">h</span><span class="fc2 sc0">a</span><span class="fc2 sc0">p</span><span class="_ _0"></span><span class="fc2 sc0">t</span><span class="fc2 sc0">e</span><span class="_ _3"></span><span class="fc2 sc0">r</span><span class="_ _0"></span><span class="fc2 sc0"> </span><span class="fc2 sc0">f</span><span class="_ _0"></span><span class="fc2 sc0">r</span><span class="_ _0"></span><span class="fc2 sc0">o</span><span class="_ _0"></span><span class="fc2 sc0">m</span><span class="fc2 sc0"> </span><span class="fc2 sc0">t</span><span class="fc2 sc0">h</span><span class="fc2 sc0">e</span><span class="_ _3"></span><span class="fc2 sc0"> </span><span class="fc2 sc0">b</span><span class="_ _0"></span><span class="fc2 sc0">o</span><span class="_ _0"></span><span class="fc2 sc0">o</span><span class="_ _0"></span><span class="fc2 sc0">k</span><span class="_ _3"></span><span class="fc2 sc0"> </span></div><div class="t m1 x12 h7 y14 ff2 fs4 fc1 sc0 ls0 ws0"><span class="fc2 sc0">N</span><span class="_ _2"></span><span class="fc2 sc0">e</span><span class="_ _4"></span><span class="fc2 sc0">w</span><span class="_ _0"></span><span class="fc2 sc0"> </span><span 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class="fc2 sc0">o</span><span class="_ _3"></span><span class="fc2 sc0">o</span><span class="_ _0"></span><span class="fc2 sc0">k</span><span class="_ _0"></span><span class="fc2 sc0">s</span><span class="_ _4"></span><span class="fc2 sc0">/</span><span class="fc2 sc0">n</span><span class="fc2 sc0">e</span><span class="_ _3"></span><span class="fc2 sc0">w</span><span class="_ _0"></span><span class="fc2 sc0">-</span><span class="fc2 sc0">a</span><span class="fc2 sc0">d</span><span class="_ _0"></span><span class="fc2 sc0">v</span><span class="fc2 sc0">a</span><span class="fc2 sc0">n</span><span class="fc2 sc0">c</span><span class="_ _0"></span><span class="fc2 sc0">e</span><span class="_ _4"></span><span class="fc2 sc0">s</span><span class="_ _4"></span><span class="fc2 sc0">-</span><span class="fc2 sc0">i</span><span class="fc2 sc0">n</span><span class="_ _2"></span><span class="fc2 sc0">-</span><span class="fc2 sc0">i</span><span class="fc2 sc0">m</span><span class="fc2 sc0">a</span><span class="fc2 sc0">g</span><span class="_ _3"></span><span class="fc2 sc0">e</span><span class="_ _4"></span><span class="fc2 sc0">-</span><span class="fc2 sc0">f</span><span class="fc2 sc0">u</span><span class="fc2 sc0">s</span><span class="_ _3"></span><span class="fc2 sc0">i</span><span class="fc2 sc0">o</span><span class="_ _0"></span><span class="fc2 sc0">n</span></span></div><div class="t m0 x13 h8 y16 ff3 fs5 fc0 sc0 ls0 ws0"><span class="fc2 sc0">P</span><span class="_ _0"></span><span class="fc2 sc0">U</span><span class="_ _2"></span><span class="fc2 sc0">B</span><span class="_ _3"></span><span class="fc2 sc0">L</span><span class="fc2 sc0">I</span><span class="_ _0"></span><span class="fc2 sc0">S</span><span class="fc2 sc0">H</span><span class="_ _3"></span><span class="fc2 sc0">E</span><span class="fc2 sc0">D</span><span class="_ _3"></span><span class="fc2 sc0"> </span><span class="fc2 sc0">B</span><span class="_ _0"></span><span class="fc2 sc0">Y</span></div><div class="t m0 x14 h9 y17 ff2 fs6 fc0 sc0 ls0 ws0"><span class="fc2 sc0">W</span><span class="fc2 sc0">o</span><span class="_ _3"></span><span class="fc2 sc0">r</span><span class="_ _0"></span><span class="fc2 sc0">l</span><span class="fc2 sc0">d</span><span class="_ _3"></span><span class="fc2 sc0">'</span><span class="_ _0"></span><span class="fc2 sc0">s</span><span class="fc2 sc0"> </span><span class="fc2 sc0">l</span><span class="fc2 sc0">a</span><span class="_ _1"></span><span class="fc2 sc0">r</span><span class="_ _0"></span><span class="fc2 sc0">g</span><span class="_ _4"></span><span class="fc2 sc0">e</span><span class="_ _0"></span><span class="fc2 sc0">s</span><span class="fc2 sc0">t</span><span class="_ _3"></span><span class="fc2 sc0"> </span><span class="fc2 sc0">S</span><span class="_ _1"></span><span class="fc2 sc0">c</span><span class="_ _0"></span><span class="fc2 sc0">i</span><span class="_ _1"></span><span class="fc2 sc0">e</span><span class="_ _0"></span><span class="fc2 sc0">n</span><span class="fc2 sc0">c</span><span class="_ _0"></span><span class="fc2 sc0">e</span><span class="_ _3"></span><span class="fc2 sc0">,</span></div><div class="t m0 x14 h9 y18 ff2 fs6 fc0 sc0 ls0 ws0"><span class="fc2 sc0">T</span><span class="fc2 sc0">e</span><span class="_ _3"></span><span class="fc2 sc0">c</span><span class="_ _0"></span><span class="fc2 sc0">h</span><span class="_ _1"></span><span class="fc2 sc0">n</span><span class="fc2 sc0">o</span><span class="_ _3"></span><span class="fc2 sc0">l</span><span class="fc2 sc0">o</span><span class="_ _3"></span><span class="fc2 sc0">g</span><span class="_ _5"></span><span class="fc2 sc0">y</span><span class="fc2 sc0"> </span><span class="fc2 sc0">&</span><span class="fc2 sc0"> </span><span class="fc2 sc0">M</span><span class="fc2 sc0">e</span><span class="_ _0"></span><span class="fc2 sc0">d</span><span class="_ _0"></span><span class="fc2 sc0">i</span><span class="fc2 sc0">c</span><span class="fc2 sc0">i</span><span class="_ _1"></span><span class="fc2 sc0">n</span><span class="fc2 sc0">e</span><span class="_ _0"></span><span class="fc2 sc0"> </span></div><div class="t m0 x15 h9 y19 ff2 fs6 fc0 sc0 ls0 ws0"><span class="fc2 sc0">O</span><span class="_ _0"></span><span class="fc2 sc0">p</span><span class="_ _0"></span><span class="fc2 sc0">e</span><span class="_ _3"></span><span class="fc2 sc0">n</span><span class="fc2 sc0"> </span><span class="fc2 sc0">A</span><span class="_ _0"></span><span class="fc2 sc0">c</span><span class="_ _0"></span><span class="fc2 sc0">c</span><span class="_ _3"></span><span class="fc2 sc0">e</span><span class="_ _0"></span><span class="fc2 sc0">s</span><span class="fc2 sc0">s</span><span class="fc2 sc0"> </span><span class="fc2 sc0">b</span><span class="_ _3"></span><span class="fc2 sc0">o</span><span class="_ _3"></span><span class="fc2 sc0">o</span><span class="_ _3"></span><span class="fc2 sc0">k</span><span class="fc2 sc0"> </span><span class="_ _0"></span><span class="fc2 sc0">p</span><span class="_ _0"></span><span class="fc2 sc0">u</span><span class="_ _0"></span><span class="fc2 sc0">b</span><span class="_ _3"></span><span class="fc2 sc0">l</span><span class="fc2 sc0">i</span><span class="_ _2"></span><span class="fc2 sc0">s</span><span class="fc2 sc0">h</span><span class="_ _1"></span><span class="fc2 sc0">e</span><span class="_ _0"></span><span class="fc2 sc0">r</span></div><div class="t m0 x16 ha y1a ff2 fs5 fc1 sc0 ls0 ws0"><span class="fc2 sc0">I</span><span class="_ _3"></span><span class="fc2 sc0">n</span><span class="fc2 sc0">t</span><span class="_ _0"></span><span class="fc2 sc0">e</span><span class="_ _3"></span><span class="fc2 sc0">r</span><span class="_ _0"></span><span class="fc2 sc0">e</span><span class="_ _3"></span><span class="fc2 sc0">s</span><span class="_ _0"></span><span class="fc2 sc0">t</span><span class="_ _0"></span><span class="fc2 sc0">e</span><span class="_ _3"></span><span class="fc2 sc0">d</span><span class="_ _3"></span><span class="fc2 sc0"> </span><span class="fc2 sc0">i</span><span class="_ _0"></span><span class="fc2 sc0">n</span><span class="fc2 sc0"> </span><span class="fc2 sc0">p</span><span class="_ _0"></span><span class="fc2 sc0">u</span><span class="fc2 sc0">b</span><span class="_ _3"></span><span class="fc2 sc0">l</span><span class="_ _3"></span><span class="fc2 sc0">i</span><span class="_ _4"></span><span class="fc2 sc0">s</span><span class="fc2 sc0">h</span><span class="fc2 sc0">i</span><span class="_ _4"></span><span class="fc2 sc0">n</span><span class="fc2 sc0">g</span><span class="_ _0"></span><span class="fc2 sc0"> </span><span class="fc2 sc0">w</span><span class="fc2 sc0">i</span><span class="_ _4"></span><span class="fc2 sc0">t</span><span class="_ _0"></span><span class="fc2 sc0">h</span><span class="fc2 sc0"> </span><span class="fc2 sc0">I</span><span class="_ _3"></span><span class="fc2 sc0">n</span><span class="fc2 sc0">T</span><span class="fc2 sc0">e</span><span class="_ _3"></span><span class="fc2 sc0">c</span><span class="_ _0"></span><span class="fc2 sc0">h</span><span class="fc2 sc0">O</span><span class="fc2 sc0">p</span><span class="_ _3"></span><span class="fc2 sc0">e</span><span class="_ _3"></span><span class="fc2 sc0">n</span><span class="fc2 sc0">?</span></div><div class="t m0 x17 ha y1b ff2 fs5 fc1 sc0 ls0 ws0"><span class="fc2 sc0">C</span><span class="_ _0"></span><span class="fc2 sc0">o</span><span class="fc2 sc0">n</span><span class="fc2 sc0">t</span><span class="_ _0"></span><span class="fc2 sc0">a</span><span class="fc2 sc0">c</span><span class="fc2 sc0">t</span><span class="_ _3"></span><span class="fc2 sc0"> </span><span class="fc2 sc0">u</span><span class="fc2 sc0">s</span><span class="fc2 sc0"> </span><span class="fc2 sc0">a</span><span class="_ _1"></span><span class="fc2 sc0">t</span><span class="_ _0"></span><span class="fc2 sc0"> </span><span class="fc0"><span class="fc2 sc0">b</span><span class="_ _0"></span><span class="fc2 sc0">o</span><span class="fc2 sc0">o</span><span class="fc2 sc0">k</span><span class="_ _3"></span><span class="fc2 sc0">.</span><span class="fc2 sc0">d</span><span class="_ _0"></span><span class="fc2 sc0">e</span><span class="_ _0"></span><span class="fc2 sc0">p</span><span class="_ _3"></span><span class="fc2 sc0">a</span><span class="fc2 sc0">r</span><span class="_ _0"></span><span class="fc2 sc0">t</span><span class="_ _3"></span><span class="fc2 sc0">m</span><span class="fc2 sc0">e</span><span class="_ _3"></span><span class="fc2 sc0">n</span><span class="fc2 sc0">t</span><span class="_ _3"></span><span class="fc2 sc0">@</span><span class="fc2 sc0">i</span><span class="_ _4"></span><span class="fc2 sc0">n</span><span class="fc2 sc0">t</span><span class="_ _0"></span><span class="fc2 sc0">e</span><span class="_ _3"></span><span class="fc2 sc0">c</span><span class="_ _0"></span><span class="fc2 sc0">h</span><span class="fc2 sc0">o</span><span class="fc2 sc0">p</span><span class="_ _3"></span><span class="fc2 sc0">e</span><span class="_ _0"></span><span class="fc2 sc0">n</span><span class="_ _0"></span><span class="fc2 sc0">.</span><span class="_ _2"></span><span class="fc2 sc0">c</span><span class="_ _0"></span><span class="fc2 sc0">o</span><span class="fc2 sc0">m</span></span></div></div><a class="l" rel='nofollow' onclick='return false;'><div class="d m2"></div></a><a class="l" rel='nofollow' onclick='return false;'><div class="d m2"></div></a></div><div class="pi" data-data='{"ctm":[1.991701,0.000000,0.000000,1.991701,0.000000,0.000000]}'></div></div>
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<div id="pf2" class="pf w3 hb" data-page-no="2"><div class="pc pc2 w3 hb"><img class="bi x0 y0 w1 hc" alt="" src="https://static.pudn.com/prod/directory_preview_static/625a145f92dc900e62da5352/bg2.jpg"><div class="t m0 x18 hd y1c ff4 fs7 fc3 sc0 ls0 ws0"><span class="fc2 sc0">Chapter </span><span class="fc2 sc0">3</span></div><div class="t m0 x19 he y1d ff4 fs8 fc3 sc0 ls0 ws0"><span class="fc2 sc0">Multi-Frequency </span><span class="fc2 sc0">Image </span><span class="fc2 sc0">Fusion </span><span class="fc2 sc0">Based </span><span class="fc2 sc0">on </span><span class="fc2 sc0">MIMO </span><span class="fc2 sc0">UWB</span></div><div class="t m0 x19 he y1e ff4 fs8 fc3 sc0 ls0 ws0"><span class="fc2 sc0">OFDM </span><span class="fc2 sc0">Synthetic </span><span class="fc2 sc0">Aperture </span><span class="fc2 sc0">Radar</span></div><div class="t m0 x19 hd y1f ff5 fs7 fc3 sc0 ls0 ws0"><span class="fc2 sc0">Md </span><span class="fc2 sc0">Anowar </span><span class="fc2 sc0">Hossain, </span><span class="fc2 sc0">Ibrahim </span><span class="fc2 sc0">Elshafiey </span><span class="fc2 sc0">and</span></div><div class="t m0 x19 hd y20 ff5 fs7 fc3 sc0 ls0 ws0"><span class="fc2 sc0">Majeed </span><span class="fc2 sc0">A. </span><span class="fc2 sc0">S. </span><span class="fc2 sc0">Alkanhal</span></div><div class="t m0 x19 hf y21 ff5 fs9 fc3 sc0 ls0 ws0"><span class="fc2 sc0">Additional </span><span class="fc2 sc0">information </span><span class="fc2 sc0">is </span><span class="fc2 sc0">available </span><span class="fc2 sc0">at </span><span class="fc2 sc0">the </span><span class="fc2 sc0">end </span><span class="fc2 sc0">of </span><span class="fc2 sc0">the </span><span class="fc2 sc0">chapter</span></div><div class="t m0 x19 hf y22 ff5 fs9 fc3 sc0 ls0 ws0"><span class="fc2 sc0">http://dx.doi.org/10.5772/56943</span></div><div class="t m0 x19 h10 y23 ff6 fs7 fc3 sc0 ls0 ws0"><span class="fc2 sc0">1. </span><span class="fc2 sc0">Introduction</span></div><div class="t m0 x19 h11 y24 ff7 fsa fc3 sc0 ls0 ws0"><span class="fc2 sc0">The </span><span class="_ _5"> </span><span class="fc2 sc0">principle </span><span class="_ _6"> </span><span class="fc2 sc0">idea </span><span class="_ _5"> </span><span class="fc2 sc0">behind </span><span class="_ _6"> </span><span class="fc2 sc0">synthetic </span><span class="_ _5"> </span><span class="fc2 sc0">aperture </span><span class="_ _6"> </span><span class="fc2 sc0">radar </span><span class="_ _5"> </span><span class="fc2 sc0">(SAR) </span><span class="_ _6"> </span><span class="fc2 sc0">stems </span><span class="_ _5"> </span><span class="fc2 sc0">from </span><span class="_ _6"> </span><span class="fc2 sc0">the </span><span class="_ _5"> </span><span class="fc2 sc0">desire </span><span class="_ _6"> </span><span class="fc2 sc0">for </span><span class="_ _5"> </span><span class="fc2 sc0">high-</span></div><div class="t m0 x19 h11 y25 ff7 fsa fc3 sc0 ls0 ws0"><span class="fc2 sc0">resolution </span><span class="_ _4"></span><span class="fc2 sc0">images. </span><span class="_ _4"></span><span class="fc2 sc0">SAR </span><span class="_ _4"></span><span class="fc2 sc0">transmits </span><span class="_ _5"></span><span class="fc2 sc0">signal </span><span class="_ _4"></span><span class="fc2 sc0">at </span><span class="_ _4"></span><span class="fc2 sc0">spaced </span><span class="_ _4"></span><span class="fc2 sc0">intervals </span><span class="_ _5"></span><span class="fc2 sc0">called </span><span class="_ _4"></span><span class="fc2 sc0">pulse </span><span class="_ _4"></span><span class="fc2 sc0">repetition </span><span class="_ _4"></span><span class="fc2 sc0">interval</span></div><div class="t m0 x19 h11 y26 ff7 fsa fc3 sc0 ls0 ws0"><span class="fc2 sc0">(PRI). </span><span class="_ _0"></span><span class="fc2 sc0">The </span><span class="_ _0"></span><span class="fc2 sc0">responses </span><span class="_ _0"></span><span class="fc2 sc0">at </span><span class="_ _0"></span><span class="fc2 sc0">each </span><span class="_ _0"></span><span class="fc2 sc0">PRI </span><span class="_ _0"></span><span class="fc2 sc0">are </span><span class="_ _0"></span><span class="fc2 sc0">collected </span><span class="_ _3"></span><span class="fc2 sc0">and </span><span class="_ _0"></span><span class="fc2 sc0">processed </span><span class="_ _0"></span><span class="fc2 sc0">to </span><span class="_ _0"></span><span class="fc2 sc0">reconstruct </span><span class="_ _0"></span><span class="fc2 sc0">a </span><span class="_ _0"></span><span class="fc2 sc0">radar </span><span class="_ _0"></span><span class="fc2 sc0">image </span><span class="_ _0"></span><span class="fc2 sc0">of</span></div><div class="t m0 x19 h11 y27 ff7 fsa fc3 sc0 ls0 ws0"><span class="fc2 sc0">the </span><span class="_ _0"></span><span class="fc2 sc0">terrain </span><span class="_ _0"></span><span class="fc2 sc0">[</span><span class="fc2 sc0">1</span><span class="fc2 sc0">]. </span><span class="_ _3"></span><span class="fc2 sc0">In </span><span class="_ _0"></span><span class="fc2 sc0">general, </span><span class="_ _0"></span><span class="fc2 sc0">high-resolution </span><span class="_ _3"></span><span class="fc2 sc0">SAR </span><span class="_ _0"></span><span class="fc2 sc0">images </span><span class="_ _0"></span><span class="fc2 sc0">in </span><span class="_ _0"></span><span class="fc2 sc0">range </span><span class="_ _3"></span><span class="fc2 sc0">domain </span><span class="_ _0"></span><span class="fc2 sc0">are </span><span class="_ _0"></span><span class="fc2 sc0">generated </span><span class="_ _3"></span><span class="fc2 sc0">using</span></div><div class="t m0 x19 h11 y28 ff7 fsa fc3 sc0 ls0 ws0"><span class="fc2 sc0">ultra-wideband </span><span class="_ _6"> </span><span class="fc2 sc0">(UWB) </span><span class="_ _5"> </span><span class="fc2 sc0">waveforms </span><span class="_ _6"> </span><span class="fc2 sc0">as </span><span class="_ _6"> </span><span class="fc2 sc0">radar </span><span class="_ _5"> </span><span class="fc2 sc0">transmitted </span><span class="_ _6"> </span><span class="fc2 sc0">pulse </span><span class="_ _6"> </span><span class="fc2 sc0">[</span><span class="fc2 sc0">2</span><span class="fc2 sc0">]. </span><span class="_ _5"> </span><span class="fc2 sc0">UWB </span><span class="_ _6"> </span><span class="fc2 sc0">pulses </span><span class="_ _6"> </span><span class="fc2 sc0">(500 </span><span class="_ _5"> </span><span class="fc2 sc0">MHz</span></div><div class="t m0 x19 h11 y29 ff7 fsa fc3 sc0 ls0 ws0"><span class="fc2 sc0">bandwidth </span><span class="_ _0"></span><span class="fc2 sc0">and </span><span class="_ _0"></span><span class="fc2 sc0">above) </span><span class="_ _0"></span><span class="fc2 sc0">can </span><span class="_ _0"></span><span class="fc2 sc0">enhance </span><span class="_ _0"></span><span class="fc2 sc0">the </span><span class="_ _0"></span><span class="fc2 sc0">range </span><span class="_ _0"></span><span class="fc2 sc0">resolution </span><span class="_ _0"></span><span class="fc2 sc0">considerably. </span><span class="_ _0"></span><span class="fc2 sc0">UWB </span><span class="_ _0"></span><span class="fc2 sc0">technology </span><span class="_ _3"></span><span class="fc2 sc0">has</span></div><div class="t m0 x19 h11 y2a ff7 fsa fc3 sc0 ls0 ws0"><span class="fc2 sc0">dual </span><span class="_ _0"></span><span class="fc2 sc0">advantages: </span><span class="_ _0"></span><span class="fc2 sc0">good </span><span class="_ _0"></span><span class="fc2 sc0">capacity </span><span class="_ _3"></span><span class="fc2 sc0">of </span><span class="_ _0"></span><span class="fc2 sc0">penetration </span><span class="_ _0"></span><span class="fc2 sc0">and </span><span class="_ _3"></span><span class="fc2 sc0">high-resolution </span><span class="_ _0"></span><span class="fc2 sc0">target </span><span class="_ _0"></span><span class="fc2 sc0">detection </span><span class="_ _0"></span><span class="fc2 sc0">in </span><span class="_ _3"></span><span class="fc2 sc0">range</span></div><div class="t m0 x19 h11 y2b ff7 fsa fc3 sc0 ls0 ws0"><span class="fc2 sc0">domain </span><span class="fc2 sc0">for </span><span class="fc2 sc0">radar </span><span class="fc2 sc0">applications </span><span class="fc2 sc0">[</span><span class="fc2 sc0">3].</span></div><div class="t m0 x19 h11 y2c ff7 fsa fc3 sc0 ls0 ws0"><span class="fc2 sc0">Orthogonal </span><span class="_ _7"> </span><span class="fc2 sc0">frequency </span><span class="_ _7"> </span><span class="fc2 sc0">division </span><span class="_ _7"> </span><span class="fc2 sc0">multiplexing </span><span class="_ _7"> </span><span class="fc2 sc0">(OFDM), </span><span class="_ _7"> </span><span class="fc2 sc0">a </span><span class="_ _7"> </span><span class="fc2 sc0">modulation </span><span class="_ _7"> </span><span class="fc2 sc0">scheme </span><span class="_ _7"> </span><span class="fc2 sc0">commonly</span></div><div class="t m0 x19 h11 y2d ff7 fsa fc3 sc0 ls0 ws0"><span class="fc2 sc0">utilized </span><span class="_ _6"> </span><span class="fc2 sc0">in </span><span class="_ _5"> </span><span class="fc2 sc0">commercial </span><span class="_ _6"> </span><span class="fc2 sc0">communications, </span><span class="_ _5"> </span><span class="fc2 sc0">shows </span><span class="_ _6"> </span><span class="fc2 sc0">a </span><span class="_ _6"> </span><span class="fc2 sc0">great </span><span class="_ _5"> </span><span class="fc2 sc0">potential </span><span class="_ _6"> </span><span class="fc2 sc0">for </span><span class="_ _6"> </span><span class="fc2 sc0">use </span><span class="_ _5"> </span><span class="fc2 sc0">in </span><span class="_ _6"> </span><span class="fc2 sc0">forming </span><span class="_ _5"> </span><span class="fc2 sc0">radar</span></div><div class="t m0 x19 h11 y2e ff7 fsa fc3 sc0 ls0 ws0"><span class="fc2 sc0">waveforms. </span><span class="_ _8"> </span><span class="fc2 sc0">An </span><span class="_ _8"> </span><span class="fc2 sc0">OFDM </span><span class="_ _8"> </span><span class="fc2 sc0">signal </span><span class="_ _8"> </span><span class="fc2 sc0">is </span><span class="_ _8"> </span><span class="fc2 sc0">comprised </span><span class="_ _8"> </span><span class="fc2 sc0">of </span><span class="_ _8"> </span><span class="fc2 sc0">several </span><span class="_ _8"> </span><span class="fc2 sc0">orthogonal </span><span class="_ _8"> </span><span class="fc2 sc0">subcarriers, </span><span class="_ _8"> </span><span class="fc2 sc0">which </span><span class="_ _8"> </span><span class="fc2 sc0">are</span></div><div class="t m0 x19 h11 y2f ff7 fsa fc3 sc0 ls0 ws0"><span class="fc2 sc0">simultaneously </span><span class="_ _2"></span><span class="fc2 sc0">emitted </span><span class="fc2 sc0">over </span><span class="_ _2"></span><span class="fc2 sc0">a </span><span class="_ _1"></span><span class="fc2 sc0">single </span><span class="_ _2"></span><span class="fc2 sc0">transmission </span><span class="_ _1"></span><span class="fc2 sc0">path. </span><span class="_ _2"></span><span class="fc2 sc0">Each </span><span class="fc2 sc0">subcarrier </span><span class="_ _2"></span><span class="fc2 sc0">occupies </span><span class="_ _1"></span><span class="fc2 sc0">a </span><span class="_ _2"></span><span class="fc2 sc0">small </span><span class="_ _1"></span><span class="fc2 sc0">slice</span></div><div class="t m0 x19 h11 y30 ff7 fsa fc3 sc0 ls0 ws0"><span class="fc2 sc0">of </span><span class="_ _3"></span><span class="fc2 sc0">the </span><span class="_ _4"></span><span class="fc2 sc0">entire </span><span class="_ _3"></span><span class="fc2 sc0">signal </span><span class="_ _4"></span><span class="fc2 sc0">bandwidth </span><span class="_ _3"></span><span class="fc2 sc0">[</span><span class="fc2 sc0">4</span><span class="fc2 sc0">]. </span><span class="_ _4"></span><span class="fc2 sc0">Technology </span><span class="_ _3"></span><span class="fc2 sc0">advances </span><span class="_ _4"></span><span class="fc2 sc0">helped </span><span class="_ _3"></span><span class="fc2 sc0">in </span><span class="_ _4"></span><span class="fc2 sc0">increasing </span><span class="_ _3"></span><span class="fc2 sc0">the </span><span class="_ _4"></span><span class="fc2 sc0">sampling</span></div><div class="t m0 x19 h11 y31 ff7 fsa fc3 sc0 ls0 ws0"><span class="fc2 sc0">speed </span><span class="fc2 sc0">capabilities, </span><span class="fc2 sc0">allowing </span><span class="fc2 sc0">accurate </span><span class="fc2 sc0">generation </span><span class="fc2 sc0">of </span><span class="_ _1"></span><span class="fc2 sc0">UWB-OFDM </span><span class="fc2 sc0">waveforms. </span><span class="fc2 sc0">This </span><span class="fc2 sc0">results </span><span class="fc2 sc0">in </span><span class="fc2 sc0">a</span></div><div class="t m0 x19 h11 y32 ff7 fsa fc3 sc0 ls0 ws0"><span class="fc2 sc0">diverse </span><span class="_ _0"></span><span class="fc2 sc0">signal </span><span class="_ _0"></span><span class="fc2 sc0">that </span><span class="_ _0"></span><span class="fc2 sc0">is </span><span class="_ _0"></span><span class="fc2 sc0">capable </span><span class="_ _0"></span><span class="fc2 sc0">of </span><span class="_ _3"></span><span class="fc2 sc0">high-resolution </span><span class="_ _0"></span><span class="fc2 sc0">imaging. </span><span class="_ _0"></span><span class="fc2 sc0">While </span><span class="_ _0"></span><span class="fc2 sc0">OFDM </span><span class="_ _0"></span><span class="fc2 sc0">has </span><span class="_ _0"></span><span class="fc2 sc0">been </span><span class="_ _0"></span><span class="fc2 sc0">elaborately</span></div><div class="t m0 x19 h11 y33 ff7 fsa fc3 sc0 ls0 ws0"><span class="fc2 sc0">studied </span><span class="_ _4"></span><span class="fc2 sc0">and </span><span class="_ _4"></span><span class="fc2 sc0">commercialized </span><span class="_ _4"></span><span class="fc2 sc0">in </span><span class="_ _4"></span><span class="fc2 sc0">the </span><span class="_ _4"></span><span class="fc2 sc0">digital </span><span class="_ _4"></span><span class="fc2 sc0">communication </span><span class="_ _5"></span><span class="fc2 sc0">field, </span><span class="_ _4"></span><span class="fc2 sc0">it </span><span class="_ _4"></span><span class="fc2 sc0">has </span><span class="_ _4"></span><span class="fc2 sc0">not </span><span class="_ _4"></span><span class="fc2 sc0">yet </span><span class="_ _4"></span><span class="fc2 sc0">been </span><span class="_ _4"></span><span class="fc2 sc0">widely</span></div><div class="t m0 x19 h11 y34 ff7 fsa fc3 sc0 ls0 ws0"><span class="fc2 sc0">studied </span><span class="_ _3"></span><span class="fc2 sc0">by </span><span class="_ _3"></span><span class="fc2 sc0">the </span><span class="_ _3"></span><span class="fc2 sc0">radar </span><span class="_ _3"></span><span class="fc2 sc0">scientific </span><span class="_ _3"></span><span class="fc2 sc0">community </span><span class="_ _3"></span><span class="fc2 sc0">apart </span><span class="_ _4"></span><span class="fc2 sc0">from </span><span class="_ _3"></span><span class="fc2 sc0">a </span><span class="_ _3"></span><span class="fc2 sc0">few </span><span class="_ _3"></span><span class="fc2 sc0">efforts </span><span class="_ _3"></span><span class="fc2 sc0">[</span><span class="fc2 sc0">5-7</span><span class="fc2 sc0">]. </span><span class="_ _3"></span><span class="fc2 sc0">The </span><span class="_ _3"></span><span class="fc2 sc0">advantages </span><span class="_ _3"></span><span class="fc2 sc0">of</span></div><div class="t m0 x19 h11 y35 ff7 fsa fc3 sc0 ls0 ws0"><span class="fc2 sc0">using </span><span class="_ _0"></span><span class="fc2 sc0">OFDM </span><span class="_ _0"></span><span class="fc2 sc0">in </span><span class="_ _0"></span><span class="fc2 sc0">radar </span><span class="_ _0"></span><span class="fc2 sc0">applications </span><span class="_ _0"></span><span class="fc2 sc0">include: </span><span class="_ _0"></span><span class="fc2 sc0">(a) </span><span class="_ _0"></span><span class="fc2 sc0">Transceiver </span><span class="_ _0"></span><span class="fc2 sc0">system </span><span class="_ _0"></span><span class="fc2 sc0">is </span><span class="_ _0"></span><span class="fc2 sc0">based </span><span class="_ _0"></span><span class="fc2 sc0">on </span><span class="_ _0"></span><span class="fc2 sc0">digital </span><span class="_ _0"></span><span class="fc2 sc0">imple‐</span></div><div class="t m0 x19 h11 y36 ff7 fsa fc3 sc0 ls0 ws0"><span class="fc2 sc0">mentation </span><span class="_ _8"> </span><span class="fc2 sc0">using </span><span class="_ _8"> </span><span class="fc2 sc0">relatively </span><span class="_"> </span><span class="fc2 sc0">inexpensive </span><span class="_ _6"> </span><span class="fc2 sc0">components </span><span class="_"> </span><span class="fc2 sc0">(b) </span><span class="_ _8"> </span><span class="fc2 sc0">Ease </span><span class="_ _8"> </span><span class="fc2 sc0">of </span><span class="_ _8"> </span><span class="fc2 sc0">narrowband </span><span class="_ _8"> </span><span class="fc2 sc0">interference</span></div><div class="t m0 x19 h11 y37 ff7 fsa fc3 sc0 ls0 ws0"><span class="fc2 sc0">mitigation </span><span class="fc2 sc0">(c) </span><span class="_ _2"></span><span class="fc2 sc0">High-resolution </span><span class="fc2 sc0">in </span><span class="_ _1"></span><span class="fc2 sc0">UWB </span><span class="fc2 sc0">scale </span><span class="_ _2"></span><span class="fc2 sc0">and </span><span class="fc2 sc0">good </span><span class="_ _1"></span><span class="fc2 sc0">multi-path </span><span class="fc2 sc0">potential </span><span class="_ _2"></span><span class="fc2 sc0">(d) </span><span class="fc2 sc0">Same </span><span class="_ _1"></span><span class="fc2 sc0">architec‐</span></div><div class="t m0 x19 h11 y38 ff7 fsa fc3 sc0 ls0 ws0"><span class="fc2 sc0">ture </span><span class="_ _3"></span><span class="fc2 sc0">can </span><span class="_ _4"></span><span class="fc2 sc0">be </span><span class="_ _4"></span><span class="fc2 sc0">used </span><span class="_ _4"></span><span class="fc2 sc0">to </span><span class="_ _3"></span><span class="fc2 sc0">transmit </span><span class="_ _4"></span><span class="fc2 sc0">large </span><span class="_ _4"></span><span class="fc2 sc0">amounts </span><span class="_ _4"></span><span class="fc2 sc0">of </span><span class="_ _3"></span><span class="fc2 sc0">data </span><span class="_ _4"></span><span class="fc2 sc0">in </span><span class="_ _4"></span><span class="fc2 sc0">real </span><span class="_ _4"></span><span class="fc2 sc0">time; </span><span class="_ _3"></span><span class="fc2 sc0">and </span><span class="_ _4"></span><span class="fc2 sc0">(e) </span><span class="_ _4"></span><span class="fc2 sc0">Flexibility </span><span class="_ _4"></span><span class="fc2 sc0">in </span><span class="_ _3"></span><span class="fc2 sc0">pulse</span></div><div class="t m0 x19 h11 y39 ff7 fsa fc3 sc0 ls0 ws0"><span class="fc2 sc0">shaping </span><span class="fc2 sc0">using </span><span class="fc2 sc0">different </span><span class="fc2 sc0">subcarrier </span><span class="fc2 sc0">compositions.</span></div><div class="t m0 x1a h12 y3a ff5 fsb fc3 sc0 ls0 ws0"><span class="fc2 sc0">© </span><span class="fc2 sc0">2013 </span><span class="fc2 sc0">Hossain </span><span class="fc2 sc0">et </span><span class="fc2 sc0">al.; </span><span class="fc2 sc0">licensee </span><span class="fc2 sc0">InTech. </span><span class="fc2 sc0">This </span><span class="fc2 sc0">is </span><span class="fc2 sc0">a </span><span class="fc2 sc0">paper </span><span class="fc2 sc0">distributed </span><span class="fc2 sc0">under </span><span class="fc2 sc0">the </span><span class="fc2 sc0">terms </span><span class="fc2 sc0">of </span><span class="fc2 sc0">the </span><span class="fc2 sc0">Creative </span><span class="fc2 sc0">Commons</span></div><div class="t m0 x1a h12 y3b ff5 fsb fc3 sc0 ls0 ws0"><span class="fc2 sc0">Attribution </span><span class="fc2 sc0">License </span><span class="fc2 sc0">(http://creativecommons.org/licenses/by/3.0), </span><span class="fc2 sc0">which </span><span class="fc2 sc0">permits </span><span class="fc2 sc0">unrestricted </span><span class="fc2 sc0">use,</span></div><div class="t m0 x1a h12 y3c ff5 fsb fc3 sc0 ls0 ws0"><span class="fc2 sc0">distribution, </span><span class="fc2 sc0">and </span><span class="fc2 sc0">reproduction </span><span class="fc2 sc0">in </span><span class="fc2 sc0">any </span><span class="fc2 sc0">medium, </span><span class="fc2 sc0">provided </span><span class="fc2 sc0">the </span><span class="fc2 sc0">original </span><span class="fc2 sc0">work </span><span class="fc2 sc0">is </span><span class="fc2 sc0">properly </span><span class="fc2 sc0">cited.</span></div></div><div class="pi" data-data='{"ctm":[1.991701,0.000000,0.000000,1.991701,0.000000,0.000000]}'></div></div>
<div id="pf3" class="pf w3 hb" data-page-no="3"><div class="pc pc3 w3 hb"><img class="bi x0 y0 w1 hc" alt="" src="https://static.pudn.com/prod/directory_preview_static/625a145f92dc900e62da5352/bg3.jpg"><div class="t m0 x19 h11 y3d ff7 fsa fc3 sc0 ls0 ws0"><span class="fc2 sc0">Although </span><span class="_ _0"></span><span class="fc2 sc0">SAR </span><span class="_ _0"></span><span class="fc2 sc0">is </span><span class="_ _0"></span><span class="fc2 sc0">a </span><span class="_ _0"></span><span class="fc2 sc0">well-known </span><span class="_ _0"></span><span class="fc2 sc0">remote </span><span class="_ _0"></span><span class="fc2 sc0">sensing </span><span class="_ _0"></span><span class="fc2 sc0">application </span><span class="_ _0"></span><span class="fc2 sc0">which </span><span class="_ _0"></span><span class="fc2 sc0">obtains </span><span class="_ _0"></span><span class="fc2 sc0">high-resolution </span><span class="_ _0"></span><span class="fc2 sc0">in</span></div><div class="t m0 x19 h11 y3e ff7 fsa fc3 sc0 ls0 ws0"><span class="fc2 sc0">range </span><span class="fc2 sc0">domain </span><span class="fc2 sc0">by </span><span class="_ _0"></span><span class="fc2 sc0">transmitting </span><span class="fc2 sc0">wide-band </span><span class="fc2 sc0">waveform </span><span class="_ _0"></span><span class="fc2 sc0">and </span><span class="fc2 sc0">high-resolution </span><span class="_ _0"></span><span class="fc2 sc0">in </span><span class="fc2 sc0">azimuth </span><span class="fc2 sc0">domain</span></div><div class="t m0 x19 h11 y3f ff7 fsa fc3 sc0 ls0 ws0"><span class="fc2 sc0">by </span><span class="_ _5"> </span><span class="fc2 sc0">utilizing </span><span class="_ _6"> </span><span class="fc2 sc0">the </span><span class="_ _5"> </span><span class="fc2 sc0">relative </span><span class="_ _6"> </span><span class="fc2 sc0">motion </span><span class="_ _5"></span><span class="fc2 sc0">between </span><span class="_ _5"> </span><span class="fc2 sc0">the </span><span class="_ _6"> </span><span class="fc2 sc0">target </span><span class="_ _5"> </span><span class="fc2 sc0">and </span><span class="_ _6"> </span><span class="fc2 sc0">the </span><span class="_ _5"> </span><span class="fc2 sc0">radar </span><span class="_ _6"> </span><span class="fc2 sc0">platform, </span><span class="_ _5"></span><span class="fc2 sc0">current </span><span class="_ _5"> </span><span class="fc2 sc0">single</span></div><div class="t m0 x19 h11 y40 ff7 fsa fc3 sc0 ls0 ws0"><span class="fc2 sc0">antenna </span><span class="_ _2"></span><span class="fc2 sc0">SAR </span><span class="_ _2"></span><span class="fc2 sc0">is </span><span class="_ _9"></span><span class="fc2 sc0">not </span><span class="_ _9"></span><span class="fc2 sc0">able </span><span class="_ _2"></span><span class="fc2 sc0">to </span><span class="_ _2"></span><span class="fc2 sc0">provide </span><span class="_ _9"></span><span class="fc2 sc0">some </span><span class="_ _2"></span><span class="fc2 sc0">remote </span><span class="_ _2"></span><span class="fc2 sc0">sensing </span><span class="_ _9"></span><span class="fc2 sc0">performances, </span><span class="_ _2"></span><span class="fc2 sc0">such </span><span class="_ _2"></span><span class="fc2 sc0">as </span><span class="_ _9"></span><span class="fc2 sc0">simultaneously</span></div><div class="t m0 x19 h11 y41 ff7 fsa fc3 sc0 ls0 ws0"><span class="fc2 sc0">high-resolution </span><span class="_"> </span><span class="fc2 sc0">and </span><span class="_ _7"> </span><span class="fc2 sc0">wide-swath </span><span class="_"> </span><span class="fc2 sc0">imaging. </span><span class="_"> </span><span class="fc2 sc0">Multiple-Input </span><span class="_ _7"> </span><span class="fc2 sc0">Multiple-Output </span><span class="_"> </span><span class="fc2 sc0">(MIMO) </span><span class="_ _7"> </span><span class="fc2 sc0">SAR</span></div><div class="t m0 x19 h11 y42 ff7 fsa fc3 sc0 ls0 ws0"><span class="fc2 sc0">provides </span><span class="fc2 sc0">a </span><span class="_ _0"></span><span class="fc2 sc0">solution </span><span class="_ _0"></span><span class="fc2 sc0">to </span><span class="_ _0"></span><span class="fc2 sc0">resolve </span><span class="_ _0"></span><span class="fc2 sc0">these </span><span class="_ _0"></span><span class="fc2 sc0">problems </span><span class="_ _0"></span><span class="fc2 sc0">and </span><span class="_ _0"></span><span class="fc2 sc0">provides </span><span class="_ _0"></span><span class="fc2 sc0">following </span><span class="fc2 sc0">advantages </span><span class="_ _0"></span><span class="fc2 sc0">compared</span></div><div class="t m0 x19 h11 y43 ff7 fsa fc3 sc0 ls0 ws0"><span class="fc2 sc0">to </span><span class="_ _2"></span><span class="fc2 sc0">traditional </span><span class="_ _2"></span><span class="fc2 sc0">SAR: </span><span class="_ _1"></span><span class="fc2 sc0">diversity </span><span class="_ _2"></span><span class="fc2 sc0">in </span><span class="_ _2"></span><span class="fc2 sc0">viewing </span><span class="_ _1"></span><span class="fc2 sc0">angles </span><span class="_ _2"></span><span class="fc2 sc0">on </span><span class="_ _2"></span><span class="fc2 sc0">a </span><span class="_ _1"></span><span class="fc2 sc0">particular </span><span class="_ _2"></span><span class="fc2 sc0">target </span><span class="_ _2"></span><span class="fc2 sc0">to </span><span class="_ _1"></span><span class="fc2 sc0">improve </span><span class="_ _2"></span><span class="fc2 sc0">identifiability,</span></div><div class="t m0 x19 h11 y44 ff7 fsa fc3 sc0 ls0 ws0"><span class="fc2 sc0">increased </span><span class="fc2 sc0">azimuth </span><span class="_ _0"></span><span class="fc2 sc0">resolution </span><span class="_ _0"></span><span class="fc2 sc0">or </span><span class="_ _0"></span><span class="fc2 sc0">decreased </span><span class="_ _0"></span><span class="fc2 sc0">pulse </span><span class="_ _0"></span><span class="fc2 sc0">repetition </span><span class="_ _0"></span><span class="fc2 sc0">frequency </span><span class="fc2 sc0">(PRF) </span><span class="_ _0"></span><span class="fc2 sc0">which </span><span class="_ _0"></span><span class="fc2 sc0">results </span><span class="_ _0"></span><span class="fc2 sc0">in</span></div><div class="t m0 x19 h11 y45 ff7 fsa fc3 sc0 ls0 ws0"><span class="fc2 sc0">wider </span><span class="_ _0"></span><span class="fc2 sc0">swath. </span><span class="_ _0"></span><span class="fc2 sc0">Due </span><span class="_ _0"></span><span class="fc2 sc0">to </span><span class="_ _0"></span><span class="fc2 sc0">the </span><span class="fc2 sc0">larger </span><span class="_ _0"></span><span class="fc2 sc0">number </span><span class="_ _0"></span><span class="fc2 sc0">of </span><span class="_ _0"></span><span class="fc2 sc0">degrees-of-freedom </span><span class="_ _0"></span><span class="fc2 sc0">of </span><span class="_ _0"></span><span class="fc2 sc0">a </span><span class="_ _0"></span><span class="fc2 sc0">MIMO </span><span class="_ _0"></span><span class="fc2 sc0">system, </span><span class="_ _0"></span><span class="fc2 sc0">enhanced</span></div><div class="t m0 x19 h11 y46 ff7 fsa fc3 sc0 ls0 ws0"><span class="fc2 sc0">resolution </span><span class="_"> </span><span class="fc2 sc0">can </span><span class="_ _8"> </span><span class="fc2 sc0">be </span><span class="_ _8"> </span><span class="fc2 sc0">achieved </span><span class="_ _8"> </span><span class="fc2 sc0">by </span><span class="_"> </span><span class="fc2 sc0">coherently </span><span class="_ _8"> </span><span class="fc2 sc0">processing </span><span class="_ _8"> </span><span class="fc2 sc0">of </span><span class="_ _8"> </span><span class="fc2 sc0">multiple </span><span class="_"> </span><span class="fc2 sc0">waveforms </span><span class="_ _8"> </span><span class="fc2 sc0">at </span><span class="_ _8"> </span><span class="fc2 sc0">multiple</span></div><div class="t m0 x19 h11 y47 ff7 fsa fc3 sc0 ls0 ws0"><span class="fc2 sc0">receivers </span><span class="fc2 sc0">simultaneously.</span></div><div class="t m0 x19 h11 y48 ff7 fsa fc3 sc0 ls0 ws0"><span class="fc2 sc0">Several </span><span class="fc2 sc0">research </span><span class="fc2 sc0">works </span><span class="_ _1"></span><span class="fc2 sc0">have </span><span class="fc2 sc0">been </span><span class="fc2 sc0">reported </span><span class="_ _1"></span><span class="fc2 sc0">in </span><span class="fc2 sc0">recent </span><span class="_ _1"></span><span class="fc2 sc0">years </span><span class="fc2 sc0">to </span><span class="fc2 sc0">overcome </span><span class="_ _1"></span><span class="fc2 sc0">the </span><span class="fc2 sc0">trade-off </span><span class="fc2 sc0">between</span></div><div class="t m0 x19 h11 y49 ff7 fsa fc3 sc0 ls0 ws0"><span class="fc2 sc0">wide-swath </span><span class="_ _3"></span><span class="fc2 sc0">and </span><span class="_ _3"></span><span class="fc2 sc0">azimuth </span><span class="_ _3"></span><span class="fc2 sc0">resolution </span><span class="_ _3"></span><span class="fc2 sc0">in </span><span class="_ _3"></span><span class="fc2 sc0">conventional </span><span class="_ _3"></span><span class="fc2 sc0">SAR </span><span class="_ _3"></span><span class="fc2 sc0">system </span><span class="_ _3"></span><span class="fc2 sc0">[</span><span class="fc2 sc0">8</span><span class="fc2 sc0">]. </span><span class="_ _3"></span><span class="fc2 sc0">However, </span><span class="_ _3"></span><span class="fc2 sc0">MIMO </span><span class="_ _3"></span><span class="fc2 sc0">SAR</span></div><div class="t m0 x19 h11 y4a ff7 fsa fc3 sc0 ls0 ws0"><span class="fc2 sc0">systems </span><span class="_ _0"></span><span class="fc2 sc0">are </span><span class="_ _3"></span><span class="fc2 sc0">only </span><span class="_ _3"></span><span class="fc2 sc0">investigated </span><span class="_ _0"></span><span class="fc2 sc0">by </span><span class="_ _3"></span><span class="fc2 sc0">generalizing </span><span class="_ _3"></span><span class="fc2 sc0">the </span><span class="_ _0"></span><span class="fc2 sc0">theoretical </span><span class="_ _3"></span><span class="fc2 sc0">modeling </span><span class="_ _3"></span><span class="fc2 sc0">of </span><span class="_ _3"></span><span class="fc2 sc0">MIMO </span><span class="_ _0"></span><span class="fc2 sc0">communi‐</span></div><div class="t m0 x19 h11 y4b ff7 fsa fc3 sc0 ls0 ws0"><span class="fc2 sc0">cation </span><span class="fc2 sc0">systems </span><span class="_ _0"></span><span class="fc2 sc0">and </span><span class="fc2 sc0">discussed </span><span class="_ _0"></span><span class="fc2 sc0">recently </span><span class="_ _0"></span><span class="fc2 sc0">in </span><span class="fc2 sc0">radar </span><span class="_ _0"></span><span class="fc2 sc0">communities </span><span class="_ _0"></span><span class="fc2 sc0">[</span><span class="fc2 sc0">9 </span><span class="fc2 sc0">and </span><span class="_ _0"></span><span class="fc2 sc0">10</span><span class="fc2 sc0">]. </span><span class="_ _0"></span><span class="fc2 sc0">The </span><span class="fc2 sc0">configuration </span><span class="_ _0"></span><span class="fc2 sc0">of</span></div><div class="t m0 x19 h11 y4c ff7 fsa fc3 sc0 ls0 ws0"><span class="fc2 sc0">the </span><span class="fc2 sc0">proposed </span><span class="fc2 sc0">MIMO-SAR </span><span class="fc2 sc0">system </span><span class="fc2 sc0">in </span><span class="fc2 sc0">this </span><span class="fc2 sc0">chapter </span><span class="_ _0"></span><span class="fc2 sc0">is </span><span class="fc2 sc0">considered </span><span class="fc2 sc0">as </span><span class="fc2 sc0">two </span><span class="fc2 sc0">co-located </span><span class="fc2 sc0">transmitters</span></div><div class="t m0 x19 h11 y4d ff7 fsa fc3 sc0 ls0 ws0"><span class="fc2 sc0">and </span><span class="fc2 sc0">two </span><span class="fc2 sc0">receivers </span><span class="fc2 sc0">along </span><span class="fc2 sc0">with </span><span class="fc2 sc0">image </span><span class="fc2 sc0">fusion </span><span class="fc2 sc0">technique.</span></div><div class="t m0 x19 h11 y4e ff7 fsa fc3 sc0 ls0 ws0"><span class="fc2 sc0">In </span><span class="_"> </span><span class="fc2 sc0">remote </span><span class="_"> </span><span class="fc2 sc0">sensing </span><span class="_"> </span><span class="fc2 sc0">applications, </span><span class="_"> </span><span class="fc2 sc0">the </span><span class="_"> </span><span class="fc2 sc0">increasing </span><span class="_"> </span><span class="fc2 sc0">availability </span><span class="_"> </span><span class="fc2 sc0">of </span><span class="_"> </span><span class="fc2 sc0">spaceborne </span><span class="_"> </span><span class="fc2 sc0">sensor </span><span class="_"> </span><span class="fc2 sc0">gives </span><span class="_"> </span><span class="fc2 sc0">a</span></div><div class="t m0 x19 h11 y4f ff7 fsa fc3 sc0 ls0 ws0"><span class="fc2 sc0">motivation </span><span class="fc2 sc0">to </span><span class="fc2 sc0">utilize </span><span class="fc2 sc0">image </span><span class="_ _0"></span><span class="fc2 sc0">fusion </span><span class="fc2 sc0">algorithms. </span><span class="fc2 sc0">Several </span><span class="fc2 sc0">situations </span><span class="fc2 sc0">in </span><span class="_ _0"></span><span class="fc2 sc0">image </span><span class="fc2 sc0">processing </span><span class="fc2 sc0">require</span></div><div class="t m0 x19 h11 y50 ff7 fsa fc3 sc0 ls0 ws0"><span class="fc2 sc0">high </span><span class="_ _5"></span><span class="fc2 sc0">spatial </span><span class="_ _5"></span><span class="fc2 sc0">and </span><span class="_ _5"></span><span class="fc2 sc0">high </span><span class="_ _5"> </span><span class="fc2 sc0">spectral </span><span class="_ _5"> </span><span class="fc2 sc0">resolution </span><span class="_ _5"> </span><span class="fc2 sc0">in </span><span class="_ _5"> </span><span class="fc2 sc0">a </span><span class="_ _5"> </span><span class="fc2 sc0">single </span><span class="_ _5"> </span><span class="fc2 sc0">image. </span><span class="_ _5"> </span><span class="fc2 sc0">Image </span><span class="_ _5"> </span><span class="fc2 sc0">fusion </span><span class="_ _6"> </span><span class="fc2 sc0">is </span><span class="_ _4"></span><span class="fc2 sc0">the </span><span class="_ _5"> </span><span class="fc2 sc0">process </span><span class="_ _5"> </span><span class="fc2 sc0">of</span></div><div class="t m0 x19 h11 y51 ff7 fsa fc3 sc0 ls0 ws0"><span class="fc2 sc0">combining </span><span class="_ _0"></span><span class="fc2 sc0">relevant </span><span class="_ _0"></span><span class="fc2 sc0">information </span><span class="_ _0"></span><span class="fc2 sc0">from </span><span class="_ _0"></span><span class="fc2 sc0">two </span><span class="_ _0"></span><span class="fc2 sc0">or </span><span class="_ _0"></span><span class="fc2 sc0">more </span><span class="_ _0"></span><span class="fc2 sc0">images </span><span class="_ _0"></span><span class="fc2 sc0">into </span><span class="_ _0"></span><span class="fc2 sc0">a </span><span class="_ _0"></span><span class="fc2 sc0">single </span><span class="_ _0"></span><span class="fc2 sc0">image. </span><span class="_ _0"></span><span class="fc2 sc0">The </span><span class="_ _0"></span><span class="fc2 sc0">resulting</span></div><div class="t m0 x19 h11 y52 ff7 fsa fc3 sc0 ls0 ws0"><span class="fc2 sc0">image </span><span class="fc2 sc0">will </span><span class="fc2 sc0">be </span><span class="fc2 sc0">more </span><span class="fc2 sc0">informative </span><span class="fc2 sc0">than </span><span class="fc2 sc0">any </span><span class="fc2 sc0">of </span><span class="fc2 sc0">the </span><span class="fc2 sc0">input </span><span class="fc2 sc0">images </span><span class="fc2 sc0">[11].</span></div><div class="t m0 x19 h11 y53 ff7 fsa fc3 sc0 ls0 ws0"><span class="fc2 sc0">The </span><span class="_ _6"> </span><span class="fc2 sc0">structure </span><span class="_ _6"> </span><span class="fc2 sc0">of </span><span class="_ _6"> </span><span class="fc2 sc0">the </span><span class="_ _6"> </span><span class="fc2 sc0">chapter </span><span class="_ _6"> </span><span class="fc2 sc0">is </span><span class="_ _6"> </span><span class="fc2 sc0">as </span><span class="_ _6"> </span><span class="fc2 sc0">follows. </span><span class="_ _6"> </span><span class="fc2 sc0">UWB-OFDM </span><span class="_ _6"> </span><span class="fc2 sc0">pulse </span><span class="_ _6"> </span><span class="fc2 sc0">shaping </span><span class="_ _6"> </span><span class="fc2 sc0">for </span><span class="_ _6"> </span><span class="fc2 sc0">MIMO </span><span class="_ _6"> </span><span class="fc2 sc0">SAR </span><span class="_ _6"> </span><span class="fc2 sc0">is</span></div><div class="t m0 x19 h11 y54 ff7 fsa fc3 sc0 ls0 ws0"><span class="fc2 sc0">described </span><span class="_ _8"> </span><span class="fc2 sc0">in </span><span class="_ _6"> </span><span class="fc2 sc0">section </span><span class="_ _8"> </span><span class="fc2 sc0">2, </span><span class="_ _8"> </span><span class="fc2 sc0">while </span><span class="_ _6"> </span><span class="fc2 sc0">the </span><span class="_ _8"> </span><span class="fc2 sc0">comparison </span><span class="_ _8"> </span><span class="fc2 sc0">of </span><span class="_ _6"> </span><span class="fc2 sc0">auto-correlation </span><span class="_ _8"> </span><span class="fc2 sc0">and </span><span class="_ _8"> </span><span class="fc2 sc0">cross-correlation </span><span class="_ _6"> </span><span class="fc2 sc0">of</span></div><div class="t m0 x19 h11 y55 ff7 fsa fc3 sc0 ls0 ws0"><span class="fc2 sc0">different </span><span class="_ _9"></span><span class="fc2 sc0">pulses </span><span class="_ _2"></span><span class="fc2 sc0">in </span><span class="_ _9"></span><span class="fc2 sc0">radar </span><span class="_ _2"></span><span class="fc2 sc0">perspective </span><span class="_ _2"></span><span class="fc2 sc0">is </span><span class="_ _9"></span><span class="fc2 sc0">presented </span><span class="_ _2"></span><span class="fc2 sc0">in </span><span class="_ _2"></span><span class="fc2 sc0">section </span><span class="_ _9"></span><span class="fc2 sc0">3. </span><span class="_ _2"></span><span class="fc2 sc0">Detailed </span><span class="_ _9"></span><span class="fc2 sc0">analysis </span><span class="_ _2"></span><span class="fc2 sc0">of </span><span class="_ _2"></span><span class="fc2 sc0">MIMO </span><span class="_ _9"></span><span class="fc2 sc0">wide-</span></div><div class="t m0 x19 h11 y56 ff7 fsa fc3 sc0 ls0 ws0"><span class="fc2 sc0">swath </span><span class="_ _5"></span><span class="fc2 sc0">SAR </span><span class="_ _5"> </span><span class="fc2 sc0">system </span><span class="_ _5"> </span><span class="fc2 sc0">and </span><span class="_ _5"> </span><span class="fc2 sc0">its </span><span class="_ _6"> </span><span class="fc2 sc0">functionality </span><span class="_ _4"></span><span class="fc2 sc0">is </span><span class="_ _5"> </span><span class="fc2 sc0">discussed </span><span class="_ _6"> </span><span class="fc2 sc0">in </span><span class="_ _4"></span><span class="fc2 sc0">section </span><span class="_ _5"> </span><span class="fc2 sc0">4. </span><span class="_ _6"> </span><span class="fc2 sc0">MIMO </span><span class="_ _4"></span><span class="fc2 sc0">wide-swath </span><span class="_ _5"> </span><span class="fc2 sc0">SAR</span></div><div class="t m0 x19 h11 y57 ff7 fsa fc3 sc0 ls0 ws0"><span class="fc2 sc0">imaging </span><span class="_ _9"></span><span class="fc2 sc0">results </span><span class="_ _9"></span><span class="fc2 sc0">based </span><span class="_ _9"></span><span class="fc2 sc0">on </span><span class="_ _9"></span><span class="fc2 sc0">UWB-OFDM </span><span class="_ _2"></span><span class="fc2 sc0">waveforms </span><span class="_ _9"></span><span class="fc2 sc0">are </span><span class="_ _9"></span><span class="fc2 sc0">presented </span><span class="_ _9"></span><span class="fc2 sc0">in </span><span class="_ _9"></span><span class="fc2 sc0">section </span><span class="_ _2"></span><span class="fc2 sc0">5. </span><span class="_ _9"></span><span class="fc2 sc0">Section </span><span class="_ _9"></span><span class="fc2 sc0">6 </span><span class="_ _9"></span><span class="fc2 sc0">presents</span></div><div class="t m0 x19 h11 y58 ff7 fsa fc3 sc0 ls0 ws0"><span class="fc2 sc0">the </span><span class="_ _1"></span><span class="fc2 sc0">optimized </span><span class="_ _1"></span><span class="fc2 sc0">SAR </span><span class="_ _1"></span><span class="fc2 sc0">image </span><span class="_ _1"></span><span class="fc2 sc0">based </span><span class="fc2 sc0">on </span><span class="_ _2"></span><span class="fc2 sc0">image </span><span class="fc2 sc0">fusion </span><span class="_ _2"></span><span class="fc2 sc0">technique. </span><span class="fc2 sc0">Final </span><span class="_ _2"></span><span class="fc2 sc0">conclusions </span><span class="fc2 sc0">are </span><span class="_ _1"></span><span class="fc2 sc0">provided </span><span class="_ _1"></span><span class="fc2 sc0">in</span></div><div class="t m0 x19 h11 y59 ff7 fsa fc3 sc0 ls0 ws0"><span class="fc2 sc0">section </span><span class="fc2 sc0">7.</span></div><div class="t m0 x19 h10 y5a ff6 fs7 fc3 sc0 ls0 ws0"><span class="fc2 sc0">2. </span><span class="fc2 sc0">MIMO </span><span class="fc2 sc0">UWB </span><span class="fc2 sc0">OFDM </span><span class="fc2 sc0">signal </span><span class="fc2 sc0">generation</span></div><div class="t m0 x19 h11 y5b ff7 fsa fc3 sc0 ls0 ws0"><span class="fc2 sc0">A </span><span class="_ _4"></span><span class="fc2 sc0">widely </span><span class="_ _5"></span><span class="fc2 sc0">studied </span><span class="_ _4"></span><span class="fc2 sc0">approach </span><span class="_ _5"></span><span class="fc2 sc0">in </span><span class="_ _4"></span><span class="fc2 sc0">MIMO </span><span class="_ _4"></span><span class="fc2 sc0">architecture </span><span class="_ _5"> </span><span class="fc2 sc0">involves </span><span class="_ _4"></span><span class="fc2 sc0">the </span><span class="_ _5"> </span><span class="fc2 sc0">transmission </span><span class="_ _4"></span><span class="fc2 sc0">of </span><span class="_ _5"> </span><span class="fc2 sc0">orthogonal</span></div><div class="t m0 x19 h11 y5c ff7 fsa fc3 sc0 ls0 ws0"><span class="fc2 sc0">signals </span><span class="_ _0"></span><span class="fc2 sc0">from </span><span class="_ _0"></span><span class="fc2 sc0">different </span><span class="_ _0"></span><span class="fc2 sc0">antennas. </span><span class="_ _0"></span><span class="fc2 sc0">This </span><span class="_ _0"></span><span class="fc2 sc0">makes </span><span class="_ _0"></span><span class="fc2 sc0">it </span><span class="_ _0"></span><span class="fc2 sc0">possible </span><span class="_ _0"></span><span class="fc2 sc0">to </span><span class="_ _0"></span><span class="fc2 sc0">separate </span><span class="_ _0"></span><span class="fc2 sc0">the </span><span class="_ _3"></span><span class="fc2 sc0">reflected </span><span class="_ _0"></span><span class="fc2 sc0">signals </span><span class="_ _0"></span><span class="fc2 sc0">from</span></div><div class="t m0 x19 h11 y5d ff7 fsa fc3 sc0 ls0 ws0"><span class="fc2 sc0">the </span><span class="_ _1"></span><span class="fc2 sc0">target </span><span class="fc2 sc0">arriving </span><span class="_ _2"></span><span class="fc2 sc0">at </span><span class="fc2 sc0">the </span><span class="_ _1"></span><span class="fc2 sc0">receiver. </span><span class="_ _1"></span><span class="fc2 sc0">In </span><span class="_ _1"></span><span class="fc2 sc0">particular, </span><span class="_ _1"></span><span class="fc2 sc0">we </span><span class="fc2 sc0">develop </span><span class="_ _2"></span><span class="fc2 sc0">a </span><span class="fc2 sc0">procedure </span><span class="_ _1"></span><span class="fc2 sc0">to </span><span class="_ _1"></span><span class="fc2 sc0">design </span><span class="_ _1"></span><span class="fc2 sc0">the </span><span class="_ _1"></span><span class="fc2 sc0">optimal</span></div><div class="t m0 x19 h11 y5e ff7 fsa fc3 sc0 ls0 ws0"><span class="fc2 sc0">waveform </span><span class="fc2 sc0">that </span><span class="fc2 sc0">ensures </span><span class="fc2 sc0">orthogonality </span><span class="fc2 sc0">by </span><span class="fc2 sc0">imposing </span><span class="_ _1"></span><span class="fc2 sc0">the </span><span class="fc2 sc0">rules </span><span class="fc2 sc0">shown </span><span class="fc2 sc0">in </span><span class="fc2 sc0">Table </span><span class="fc2 sc0">1</span><span class="fc2 sc0">. </span><span class="fc2 sc0">The </span><span class="fc2 sc0">key </span><span class="fc2 sc0">to </span><span class="fc2 sc0">our</span></div><div class="t m0 x19 h11 y5f ff7 fsa fc3 sc0 ls0 ws0"><span class="fc2 sc0">approach </span><span class="_ _9"></span><span class="fc2 sc0">is </span><span class="_ _9"></span><span class="fc2 sc0">to </span><span class="_ _2"></span><span class="fc2 sc0">use </span><span class="_ _9"></span><span class="fc2 sc0">a </span><span class="_ _9"></span><span class="fc2 sc0">model </span><span class="_ _2"></span><span class="fc2 sc0">for </span><span class="_ _9"></span><span class="fc2 sc0">the </span><span class="_ _2"></span><span class="fc2 sc0">received </span><span class="_ _9"></span><span class="fc2 sc0">radar </span><span class="_ _9"></span><span class="fc2 sc0">signals </span><span class="_ _2"></span><span class="fc2 sc0">that </span><span class="_ _9"></span><span class="fc2 sc0">explicitly </span><span class="_ _9"></span><span class="fc2 sc0">includes </span><span class="_ _2"></span><span class="fc2 sc0">the </span><span class="_ _9"></span><span class="fc2 sc0">transmitted</span></div><div class="t m0 x19 h11 y60 ff7 fsa fc3 sc0 ls0 ws0"><span class="fc2 sc0">waveforms. </span><span class="_ _3"></span><span class="fc2 sc0">To </span><span class="_ _3"></span><span class="fc2 sc0">achieve </span><span class="_ _4"></span><span class="fc2 sc0">lower </span><span class="_ _3"></span><span class="fc2 sc0">cross-correlation </span><span class="_ _4"></span><span class="fc2 sc0">between </span><span class="_ _3"></span><span class="fc2 sc0">transmitted </span><span class="_ _4"></span><span class="fc2 sc0">pulses </span><span class="_ _3"></span><span class="fc2 sc0">with </span><span class="_ _3"></span><span class="fc2 sc0">a </span><span class="_ _4"></span><span class="fc2 sc0">common</span></div><div class="t m0 x19 h11 y61 ff7 fsa fc3 sc0 ls0 ws0"><span class="fc2 sc0">bandwidth </span><span class="_ _6"> </span><span class="fc2 sc0">for </span><span class="_ _6"> </span><span class="fc2 sc0">the </span><span class="_ _6"> </span><span class="fc2 sc0">same </span><span class="_ _6"> </span><span class="fc2 sc0">range </span><span class="_ _6"> </span><span class="fc2 sc0">resolution, </span><span class="_ _8"> </span><span class="fc2 sc0">OFDM </span><span class="_ _6"> </span><span class="fc2 sc0">frequency-domain </span><span class="_ _6"> </span><span class="fc2 sc0">sample </span><span class="_ _6"> </span><span class="fc2 sc0">vector </span><span class="_ _6"> </span><span class="fc2 sc0">for </span><span class="_ _6"> </span><span class="ff8"><span class="fc2 sc0">N</span></span></div><div class="t m0 x19 h11 y62 ff7 fsa fc3 sc0 ls0 ws0"><span class="fc2 sc0">subcarriers </span><span class="_ _6"> </span><span class="fc2 sc0">is </span><span class="_ _8"> </span><span class="fc2 sc0">generated </span><span class="_ _6"> </span><span class="fc2 sc0">using </span><span class="_ _6"> </span><span class="fc2 sc0">the </span><span class="_ _6"> </span><span class="fc2 sc0">sequences </span><span class="_ _8"> </span><span class="fc2 sc0">shown </span><span class="_ _6"> </span><span class="fc2 sc0">in </span><span class="_ _6"> </span><span class="fc2 sc0">Table </span><span class="_ _8"> </span><span class="fc2 sc0">1. </span><span class="_ _6"> </span><span class="fc2 sc0">The </span><span class="_ _6"> </span><span class="fc2 sc0">sequence </span><span class="_ _6"> </span><span class="fc2 sc0">in </span><span class="_ _8"> </span><span class="fc2 sc0">Table </span><span class="_ _6"> </span><span class="fc2 sc0">1</span></div><div class="t m0 x19 h11 y63 ff7 fsa fc3 sc0 ls0 ws0"><span class="fc2 sc0">generates </span><span class="_ _2"></span><span class="fc2 sc0">the </span><span class="_ _2"></span><span class="fc2 sc0">orthogonal </span><span class="_ _2"></span><span class="fc2 sc0">signals </span><span class="_ _2"></span><span class="fc2 sc0">based </span><span class="_ _1"></span><span class="fc2 sc0">on </span><span class="_ _2"></span><span class="fc2 sc0">the </span><span class="_ _2"></span><span class="fc2 sc0">placement </span><span class="_ _2"></span><span class="fc2 sc0">of </span><span class="_ _2"></span><span class="fc2 sc0">1’s </span><span class="_ _1"></span><span class="fc2 sc0">and </span><span class="_ _9"></span><span class="fc2 sc0">0’s. </span><span class="_ _1"></span><span class="fc2 sc0">We </span><span class="_ _2"></span><span class="fc2 sc0">observe </span><span class="_ _2"></span><span class="fc2 sc0">that </span><span class="_ _2"></span><span class="fc2 sc0">in </span><span class="_ _2"></span><span class="fc2 sc0">each</span></div><div class="t m0 x19 h13 y64 ff5 fsc fc3 sc0 ls0 ws0"><span class="fc2 sc0">New </span><span class="fc2 sc0">Advances </span><span class="fc2 sc0">in </span><span class="fc2 sc0">Image </span><span class="fc2 sc0">Fusion</span></div><div class="t m0 x1b h13 y65 ff5 fsc fc3 sc0 ls0 ws0"><span class="fc2 sc0">38</span></div></div><div class="pi" data-data='{"ctm":[1.991701,0.000000,0.000000,1.991701,0.000000,0.000000]}'></div></div>
<div id="pf4" class="pf w3 hb" data-page-no="4"><div class="pc pc4 w3 hb"><img class="bi x0 y0 w1 hc" alt="" src="https://static.pudn.com/prod/directory_preview_static/625a145f92dc900e62da5352/bg4.jpg"><div class="t m0 x19 h11 y3d ff7 fsa fc3 sc0 ls0 ws0"><span class="fc2 sc0">column, </span><span class="fc2 sc0">if </span><span class="fc2 sc0">we </span><span class="_ _1"></span><span class="fc2 sc0">consider </span><span class="fc2 sc0">a </span><span class="_ _1"></span><span class="fc2 sc0">1, </span><span class="fc2 sc0">the </span><span class="fc2 sc0">other </span><span class="_ _1"></span><span class="fc2 sc0">elements </span><span class="fc2 sc0">are </span><span class="_ _1"></span><span class="fc2 sc0">0’s </span><span class="fc2 sc0">and </span><span class="fc2 sc0">the </span><span class="_ _1"></span><span class="fc2 sc0">next </span><span class="fc2 sc0">column </span><span class="_ _1"></span><span class="fc2 sc0">is </span><span class="fc2 sc0">filled </span><span class="fc2 sc0">with </span><span class="_ _1"></span><span class="fc2 sc0">all </span><span class="fc2 sc0">0’s</span></div><div class="t m0 x19 h11 y66 ff7 fsa fc3 sc0 ls0 ws0"><span class="fc2 sc0">to </span><span class="_ _0"></span><span class="fc2 sc0">prevent </span><span class="_ _0"></span><span class="fc2 sc0">over-sampling. </span><span class="_ _3"></span><span class="fc2 sc0">The </span><span class="_ _0"></span><span class="fc2 sc0">spectrum </span><span class="_ _3"></span><span class="fc2 sc0">of </span><span class="_ _0"></span><span class="fc2 sc0">an </span><span class="_ _0"></span><span class="fc2 sc0">OFDM </span><span class="_ _3"></span><span class="fc2 sc0">signal </span><span class="_ _0"></span><span class="fc2 sc0">is </span><span class="_ _0"></span><span class="fc2 sc0">shown </span><span class="_ _3"></span><span class="fc2 sc0">in </span><span class="_ _0"></span><span class="fc2 sc0">Figure </span><span class="_ _3"></span><span class="fc2 sc0">1</span><span class="fc2 sc0"> </span><span class="_ _0"></span><span class="fc2 sc0">where </span><span class="_ _0"></span><span class="fc2 sc0">the</span></div><div class="t m0 x19 h11 y67 ff7 fsa fc3 sc0 ls0 ws0"><span class="fc2 sc0">width </span><span class="fc2 sc0">of </span><span class="fc2 sc0">the </span><span class="fc2 sc0">main-lobe </span><span class="fc2 sc0">depends </span><span class="fc2 sc0">on </span><span class="fc2 sc0">the </span><span class="fc2 sc0">duration </span><span class="fc2 sc0">of </span><span class="fc2 sc0">the </span><span class="_ _1"></span><span class="fc2 sc0">pulse. </span><span class="fc2 sc0">In </span><span class="fc2 sc0">digital </span><span class="fc2 sc0">implementation </span><span class="fc2 sc0">of </span><span class="fc2 sc0">an</span></div><div class="t m0 x19 h11 y68 ff7 fsa fc3 sc0 ls0 ws0"><span class="fc2 sc0">OFDM </span><span class="_ _3"></span><span class="fc2 sc0">signal, </span><span class="_ _3"></span><span class="fc2 sc0">the </span><span class="_ _4"></span><span class="fc2 sc0">pulse </span><span class="_ _3"></span><span class="fc2 sc0">duration </span><span class="_ _3"></span><span class="fc2 sc0">is </span><span class="_ _4"></span><span class="fc2 sc0">related </span><span class="_ _3"></span><span class="fc2 sc0">to </span><span class="_ _3"></span><span class="fc2 sc0">the </span><span class="_ _4"></span><span class="fc2 sc0">number </span><span class="_ _3"></span><span class="fc2 sc0">of </span><span class="_ _4"></span><span class="fc2 sc0">subcarriers. </span><span class="_ _3"></span><span class="fc2 sc0">As </span><span class="_ _3"></span><span class="fc2 sc0">the </span><span class="_ _4"></span><span class="fc2 sc0">number </span><span class="_ _3"></span><span class="fc2 sc0">of</span></div><div class="t m0 x19 h11 y69 ff7 fsa fc3 sc0 ls0 ws0"><span class="fc2 sc0">subcarrier </span><span class="fc2 sc0">increases, </span><span class="fc2 sc0">the </span><span class="fc2 sc0">duration </span><span class="fc2 sc0">of </span><span class="fc2 sc0">the </span><span class="fc2 sc0">pulse </span><span class="fc2 sc0">increases.</span></div><div class="t m0 x1c h13 y6a ff5 fsc fc3 sc0 ls0 ws0"><span class="fc2 sc0">1</span><span class="_ _a"> </span><span class="fc2 sc0">2</span><span class="_ _a"> </span><span class="fc2 sc0">3</span><span class="_ _b"> </span><span class="fc2 sc0">-</span><span class="_ _c"> </span><span class="fc2 sc0">-</span><span class="_ _c"> </span><span class="fc2 sc0">-</span><span class="_ _c"> </span><span class="fc2 sc0">-</span><span class="_ _c"> </span><span class="fc2 sc0">-</span><span class="_ _c"> </span><span class="fc2 sc0">-</span><span class="_ _c"> </span><span class="fc2 sc0">-</span><span class="_ _d"> </span><span class="fc2 sc0">-</span><span class="_ _c"> </span><span class="fc2 sc0">-</span><span class="_ _c"> </span><span class="fc2 sc0">-</span><span class="_ _c"> </span><span class="fc2 sc0">-</span><span class="_ _c"> </span><span class="fc2 sc0">-</span><span class="_ _e"> </span><span class="fc2 sc0">N</span></div><div class="t m0 x1d h13 y6b ff5 fsc fc3 sc0 ls0 ws0"><span class="fc2 sc0">Ψ</span></div><div class="t m0 x1e h14 y6c ff5 fsd fc3 sc0 ls0 ws0"><span class="fc2 sc0">ω1</span></div><div class="t m0 x1c h13 y6b ff5 fsc fc3 sc0 ls0 ws0"><span class="fc2 sc0">1</span><span class="_ _a"> </span><span class="fc2 sc0">0</span><span class="_ _a"> </span><span class="fc2 sc0">0</span><span class="_ _a"> </span><span class="fc2 sc0">0</span><span class="_ _a"> </span><span class="fc2 sc0">0</span><span class="_ _a"> </span><span class="fc2 sc0">0</span><span class="_ _a"> </span><span class="fc2 sc0">0</span><span class="_ _a"> </span><span class="fc2 sc0">0</span><span class="_ _a"> </span><span class="fc2 sc0">1</span><span class="_ _a"> </span><span class="fc2 sc0">0</span><span class="_ _f"> </span><span class="fc2 sc0">0</span><span class="_ _a"> </span><span class="fc2 sc0">0</span><span class="_ _a"> </span><span class="fc2 sc0">0</span><span class="_ _a"> </span><span class="fc2 sc0">0</span><span class="_ _a"> </span><span class="fc2 sc0">0</span><span class="_ _10"> </span><span class="fc2 sc0">0</span></div><div class="t m0 x1d h13 y6d ff5 fsc fc3 sc0 ls0 ws0"><span class="fc2 sc0">Ψ</span></div><div class="t m0 x1e h14 y6e ff5 fsd fc3 sc0 ls0 ws0"><span class="fc2 sc0">ω2</span></div><div class="t m0 x1c h13 y6d ff5 fsc fc3 sc0 ls0 ws0"><span class="fc2 sc0">0</span><span class="_ _a"> </span><span class="fc2 sc0">0</span><span class="_ _a"> </span><span class="fc2 sc0">1</span><span class="_ _a"> </span><span class="fc2 sc0">0</span><span class="_ _a"> </span><span class="fc2 sc0">0</span><span class="_ _a"> </span><span class="fc2 sc0">0</span><span class="_ _a"> </span><span class="fc2 sc0">0</span><span class="_ _a"> </span><span class="fc2 sc0">0</span><span class="_ _a"> </span><span class="fc2 sc0">0</span><span class="_ _a"> </span><span class="fc2 sc0">0</span><span class="_ _f"> </span><span class="fc2 sc0">1</span><span class="_ _a"> </span><span class="fc2 sc0">0</span><span class="_ _a"> </span><span class="fc2 sc0">0</span><span class="_ _a"> </span><span class="fc2 sc0">0</span><span class="_ _a"> </span><span class="fc2 sc0">0</span><span class="_ _10"> </span><span class="fc2 sc0">0</span></div><div class="t m0 x1d h13 y6f ff5 fsc fc3 sc0 ls0 ws0"><span class="fc2 sc0">Ψ</span></div><div class="t m0 x1e h14 y70 ff5 fsd fc3 sc0 ls0 ws0"><span class="fc2 sc0">ω3</span></div><div class="t m0 x1c h13 y6f ff5 fsc fc3 sc0 ls0 ws0"><span class="fc2 sc0">0</span><span class="_ _a"> </span><span class="fc2 sc0">0</span><span class="_ _a"> </span><span class="fc2 sc0">0</span><span class="_ _a"> </span><span class="fc2 sc0">0</span><span class="_ _a"> </span><span class="fc2 sc0">1</span><span class="_ _a"> </span><span class="fc2 sc0">0</span><span class="_ _a"> </span><span class="fc2 sc0">0</span><span class="_ _a"> </span><span class="fc2 sc0">0</span><span class="_ _a"> </span><span class="fc2 sc0">0</span><span class="_ _a"> </span><span class="fc2 sc0">0</span><span class="_ _f"> </span><span class="fc2 sc0">0</span><span class="_ _a"> </span><span class="fc2 sc0">0</span><span class="_ _a"> </span><span class="fc2 sc0">1</span><span class="_ _a"> </span><span class="fc2 sc0">0</span><span class="_ _a"> </span><span class="fc2 sc0">0</span><span class="_ _10"> </span><span class="fc2 sc0">0</span></div><div class="t m0 x1d h13 y71 ff5 fsc fc3 sc0 ls0 ws0"><span class="fc2 sc0">Ψ</span></div><div class="t m0 x1e h14 y72 ff5 fsd fc3 sc0 ls0 ws0"><span class="fc2 sc0">ω4</span></div><div class="t m0 x1c h13 y71 ff5 fsc fc3 sc0 ls0 ws0"><span class="fc2 sc0">0</span><span class="_ _a"> </span><span class="fc2 sc0">0</span><span class="_ _a"> </span><span class="fc2 sc0">0</span><span class="_ _a"> </span><span class="fc2 sc0">0</span><span class="_ _a"> </span><span class="fc2 sc0">0</span><span class="_ _a"> </span><span class="fc2 sc0">0</span><span class="_ _a"> </span><span class="fc2 sc0">1</span><span class="_ _a"> </span><span class="fc2 sc0">0</span><span class="_ _a"> </span><span class="fc2 sc0">0</span><span class="_ _a"> </span><span class="fc2 sc0">0</span><span class="_ _f"> </span><span class="fc2 sc0">0</span><span class="_ _a"> </span><span class="fc2 sc0">0</span><span class="_ _a"> </span><span class="fc2 sc0">0</span><span class="_ _a"> </span><span class="fc2 sc0">0</span><span class="_ _a"> </span><span class="fc2 sc0">1</span><span class="_ _10"> </span><span class="fc2 sc0">0</span></div><div class="t m0 x19 h13 y73 ff4 fsc fc3 sc0 ls0 ws0"><span class="fc2 sc0">Table </span><span class="fc2 sc0">1. </span><span class="ff5"><span class="fc2 sc0">OFDM </span><span class="fc2 sc0">frequency-domain </span><span class="fc2 sc0">sample </span><span class="fc2 sc0">vector </span><span class="fc2 sc0">generation</span></span></div><div class="t m0 x19 h13 y74 ff4 fsc fc3 sc0 ls0 ws0"><span class="fc2 sc0">Figure </span><span class="fc2 sc0">1. </span><span class="ff5"><span class="fc2 sc0">OFDM </span><span class="fc2 sc0">signal </span><span class="fc2 sc0">spectrum</span></span></div><div class="t m0 x19 h11 y75 ff7 fsa fc3 sc0 ls0 ws0"><span class="fc2 sc0">As </span><span class="_ _0"></span><span class="fc2 sc0">an </span><span class="_ _0"></span><span class="fc2 sc0">example, </span><span class="_ _0"></span><span class="fc2 sc0">an </span><span class="_ _0"></span><span class="fc2 sc0">OFDM </span><span class="_ _0"></span><span class="fc2 sc0">signal </span><span class="_ _0"></span><span class="fc2 sc0">is </span><span class="_ _0"></span><span class="fc2 sc0">generated </span><span class="_ _0"></span><span class="fc2 sc0">according </span><span class="_ _0"></span><span class="fc2 sc0">to </span><span class="_ _0"></span><span class="fc2 sc0">the </span><span class="_ _0"></span><span class="fc2 sc0">scheme </span><span class="_ _0"></span><span class="fc2 sc0">shown </span><span class="_ _0"></span><span class="fc2 sc0">in </span><span class="_ _3"></span><span class="fc2 sc0">Figure </span><span class="fc2 sc0">2</span><span class="_ _0"></span><span class="fc2 sc0"> </span><span class="_ _0"></span><span class="fc2 sc0">by</span></div><div class="t m0 x19 h11 y76 ff7 fsa fc3 sc0 ls0 ws0"><span class="fc2 sc0">spreading </span><span class="fc2 sc0">the </span><span class="fc2 sc0">digital </span><span class="fc2 sc0">frequency </span><span class="_ _0"></span><span class="fc2 sc0">domain </span><span class="fc2 sc0">vector </span><span class="fc2 sc0">shown </span><span class="_ _0"></span><span class="fc2 sc0">in </span><span class="fc2 sc0">Table </span><span class="fc2 sc0">1</span><span class="fc2 sc0"> </span><span class="_ _0"></span><span class="fc2 sc0">and </span><span class="fc2 sc0">the </span><span class="fc2 sc0">modulation </span><span class="fc2 sc0">symbol</span></div><div class="t m0 x19 h11 y77 ff7 fsa fc3 sc0 ls0 ws0"><span class="fc2 sc0">from </span><span class="_ _1"></span><span class="fc2 sc0">random </span><span class="_ _1"></span><span class="fc2 sc0">integer </span><span class="_ _1"></span><span class="fc2 sc0">generator. </span><span class="_ _1"></span><span class="fc2 sc0">The </span><span class="fc2 sc0">order </span><span class="_ _2"></span><span class="fc2 sc0">of </span><span class="fc2 sc0">modulation </span><span class="_ _2"></span><span class="fc2 sc0">(</span><span class="ff8"><span class="fc2 sc0">M</span></span><span class="fc2 sc0">) </span><span class="fc2 sc0">is </span><span class="_ _2"></span><span class="fc2 sc0">chosen </span><span class="fc2 sc0">as </span><span class="_ _1"></span><span class="fc2 sc0">4 </span><span class="_ _1"></span><span class="fc2 sc0">for </span><span class="_ _1"></span><span class="fc2 sc0">QPSK. </span><span class="_ _1"></span><span class="fc2 sc0">Inverse</span></div><div class="t m0 x19 h11 y78 ff7 fsa fc3 sc0 ls0 ws0"><span class="fc2 sc0">Fast </span><span class="_ _2"></span><span class="fc2 sc0">Fourier </span><span class="fc2 sc0">Transform </span><span class="_ _9"></span><span class="fc2 sc0">(IFFT) </span><span class="fc2 sc0">is </span><span class="_ _9"></span><span class="fc2 sc0">then </span><span class="fc2 sc0">applied </span><span class="_ _9"></span><span class="fc2 sc0">to </span><span class="fc2 sc0">obtain </span><span class="_ _9"></span><span class="fc2 sc0">the </span><span class="fc2 sc0">discrete </span><span class="_ _9"></span><span class="fc2 sc0">time </span><span class="fc2 sc0">domain </span><span class="_ _9"></span><span class="fc2 sc0">OFDM </span><span class="fc2 sc0">signal</span></div><div class="t m0 x19 h11 y79 ff7 fsa fc3 sc0 ls0 ws0"><span class="fc2 sc0">and </span><span class="_ _1"></span><span class="fc2 sc0">finally </span><span class="fc2 sc0">Hanning </span><span class="_ _2"></span><span class="fc2 sc0">window </span><span class="fc2 sc0">is </span><span class="_ _2"></span><span class="fc2 sc0">imposed </span><span class="fc2 sc0">to </span><span class="_ _1"></span><span class="fc2 sc0">minimize </span><span class="_ _1"></span><span class="fc2 sc0">the </span><span class="_ _1"></span><span class="fc2 sc0">side-lobes. </span><span class="fc2 sc0">The </span><span class="_ _2"></span><span class="fc2 sc0">time-domain </span><span class="fc2 sc0">OFDM</span></div><div class="t m0 x19 h11 y7a ff7 fsa fc3 sc0 ls0 ws0"><span class="fc2 sc0">signal </span><span class="fc2 sc0">is </span><span class="fc2 sc0">given </span><span class="fc2 sc0">as</span></div><div class="t m0 x1f h13 y64 ff5 fsc fc3 sc0 ls0 ws0"><span class="fc2 sc0">Multi-Frequency </span><span class="fc2 sc0">Image </span><span class="fc2 sc0">Fusion </span><span class="fc2 sc0">Based </span><span class="fc2 sc0">on </span><span class="fc2 sc0">MIMO </span><span class="fc2 sc0">UWB </span><span class="fc2 sc0">OFDM </span><span class="fc2 sc0">Synthetic </span><span class="fc2 sc0">Aperture </span><span class="fc2 sc0">Radar</span></div><div class="t m0 x20 h13 y7b ff5 fsc fc3 sc0 ls0 ws0"><span class="fc2 sc0">http://dx.doi.org/10.5772/56943</span></div><div class="t m0 x21 h13 y65 ff5 fsc fc3 sc0 ls0 ws0"><span class="fc2 sc0">39</span></div></div><div class="pi" data-data='{"ctm":[1.991701,0.000000,0.000000,1.991701,0.000000,0.000000]}'></div></div>
<div id="pf5" class="pf w3 hb" data-page-no="5"><div class="pc pc5 w3 hb"><img class="bi x0 y0 w1 hc" alt="" src="https://static.pudn.com/prod/directory_preview_static/625a145f92dc900e62da5352/bg5.jpg"><div class="t m0 x22 h11 y7c ff7 fsa fc3 sc0 ls0 ws0"><span class="fc2 sc0">Ψ</span></div><div class="t m0 x23 h15 y7d ff7 fse fc3 sc0 ls0 ws0"><span class="fc2 sc0">t</span><span class="fc2 sc0">x</span><span class="fc2 sc0">i</span></div><div class="t m0 x24 h11 y7e ff7 fsa fc3 sc0 ls0 ws0"><span class="fc2 sc0">(</span></div><div class="t m0 x25 h11 y7c ff7 fsa fc3 sc0 ls0 ws0"><span class="fc2 sc0">t</span></div><div class="t m0 x26 h11 y7e ff7 fsa fc3 sc0 ls0 ws0"><span class="fc2 sc0">)</span></div><div class="t m0 x27 h11 y7c ff7 fsa fc3 sc0 ls0 ws0"><span class="fc2 sc0">=</span><span class="_ _5"></span><span class="ff8"><span class="fc2 sc0">Ϝ</span></span></div><div class="t m0 x28 h15 y7f ff7 fse fc3 sc0 ls0 ws0"><span class="fc2 sc0">-</span><span class="fc2 sc0">1</span></div><div class="t m0 x29 h11 y7c ff7 fsa fc3 sc0 ls0 ws0"><span class="fc2 sc0">Ψ</span></div><div class="t m0 x2a h15 y7d ff7 fse fc3 sc0 ls0 ws0"><span class="fc2 sc0">ω</span><span class="fc2 sc0">i</span></div><div class="t m0 x2b h11 y7c ff7 fsa fc3 sc0 ls0 ws0"><span class="fc2 sc0"> </span><span class="fc2 sc0">w</span></div><div class="t m0 x2c h11 y7e ff7 fsa fc3 sc0 ls0 ws0"><span class="fc2 sc0">(</span></div><div class="t m0 x2d h11 y7c ff7 fsa fc3 sc0 ls0 ws0"><span class="fc2 sc0">n</span></div><div class="t m0 x2e h11 y7e ff7 fsa fc3 sc0 ls0 ws0"><span class="fc2 sc0">)</span></div><div class="t m0 x2f h11 y7c ff7 fsa fc3 sc0 ls0 ws0"><span class="fc2 sc0"> </span><span class="ff8"><span class="fc2 sc0"> </span><span class="fc2 sc0"> </span><span class="fc2 sc0"> </span><span class="fc2 sc0"> </span><span class="fc2 sc0"> </span><span class="_ _0"></span></span><span class="fc2 sc0">i</span><span class="_ _5"> </span><span class="fc2 sc0">=</span><span class="_ _5"> </span><span class="fc2 sc0">1,2</span><span class="fc2 sc0">,</span><span class="_ _11"> </span><span class="ff9"><span class="fc2 sc0">⋯</span><span class="_ _5"> </span></span><span class="fc2 sc0">4</span><span class="_ _12"> </span><span class="fc2 sc0">(1)</span></div><div class="t m0 x19 h11 y80 ff7 fsa fc3 sc0 ls0 ws0"><span class="fc2 sc0">where, </span><span class="fc2 sc0">Hanning </span><span class="_ _2"></span><span class="fc2 sc0">window </span><span class="ff8"><span class="fc2 sc0">w</span></span></div><div class="t m0 x23 h11 y81 ff7 fsa fc3 sc0 ls0 ws0"><span class="fc2 sc0">(</span></div><div class="t m0 x30 h16 y80 ff8 fsa fc3 sc0 ls0 ws0"><span class="fc2 sc0">n</span></div><div class="t m0 x6 h11 y81 ff7 fsa fc3 sc0 ls0 ws0"><span class="fc2 sc0">)</span></div><div class="t m0 x31 h11 y80 ff7 fsa fc3 sc0 ls0 ws0"><span class="fc2 sc0">=</span><span class="_ _5"></span><span class="fc2 sc0">0.5</span></div><div class="t m3 x28 h17 y82 ff7 fsf fc3 sc0 ls0 ws0"><span class="fc2 sc0">{</span></div><div class="t m0 x32 h11 y80 ff7 fsa fc3 sc0 ls0 ws0"><span class="fc2 sc0">1</span><span class="_ _8"> </span><span class="fc2 sc0">-</span><span class="_"> </span><span class="ff8"><span class="fc2 sc0">c</span><span class="fc2 sc0">o</span><span class="fc2 sc0">s</span></span></div><div class="t m3 x2b h17 y82 ff7 fsf fc3 sc0 ls0 ws0"><span class="fc2 sc0">(</span></div><div class="t m0 x33 h15 y83 ff7 fse fc3 sc0 ls0 ws0"><span class="fc2 sc0">2</span><span class="ff8"><span class="fc2 sc0">π</span><span class="fc2 sc0">n</span></span></div><div class="t m0 x34 h18 y84 ff8 fse fc3 sc0 ls0 ws0"><span class="fc2 sc0">N</span></div><div class="t m3 x2e h17 y82 ff7 fsf fc3 sc0 ls0 ws0"><span class="fc2 sc0">)</span><span class="fc2 sc0">}</span></div><div class="t m0 x35 h11 y80 ff7 fsa fc3 sc0 ls0 ws0"><span class="fc2 sc0">,</span><span class="_ _13"> </span><span class="ff8"><span class="fc2 sc0"> </span><span class="fc2 sc0"> </span><span class="fc2 sc0"> </span><span class="_ _0"></span></span><span class="fc2 sc0">0</span><span class="_ _5"> </span><span class="ff9"><span class="fc2 sc0">≤</span><span class="_ _6"> </span><span class="ff8"><span class="fc2 sc0">n</span><span class="_ _5"> </span></span><span class="fc2 sc0">≤</span><span class="_ _6"> </span><span class="ff8"><span class="fc2 sc0">N</span><span class="_ _14"> </span></span></span><span class="fc2 sc0">-</span><span class="_ _8"> </span><span class="fc2 sc0">1</span><span class="fc2 sc0"> </span><span class="fc2 sc0">and </span><span class="_ _1"></span><span class="ff8"><span class="fc2 sc0">N</span><span class="ff7"><span class="fc2 sc0"> </span><span class="_ _1"></span><span class="fc2 sc0">is </span><span class="fc2 sc0">the </span><span class="_ _1"></span><span class="fc2 sc0">number </span><span class="_ _1"></span><span class="fc2 sc0">of </span><span class="fc2 sc0">subcar‐</span></span></span></div><div class="t m0 x19 h11 y85 ff7 fsa fc3 sc0 ls0 ws0"><span class="fc2 sc0">riers. </span><span class="_ _2"></span><span class="fc2 sc0">The </span><span class="_ _1"></span><span class="fc2 sc0">term </span></div><div class="t m0 x17 h16 y86 ff8 fsa fc3 sc0 ls0 ws0"><span class="fc2 sc0">Ψ</span></div><div class="t m0 x36 h18 y87 ff8 fse fc3 sc0 ls0 ws0"><span class="fc2 sc0">ω</span><span class="fc2 sc0">i</span></div><div class="t m0 x16 h11 y86 ff7 fsa fc3 sc0 ls0 ws0"><span class="fc2 sc0"> </span></div><div class="t m0 x37 h11 y85 ff7 fsa fc3 sc0 ls0 ws0"><span class="fc2 sc0"> </span><span class="_ _2"></span><span class="fc2 sc0">denotes </span><span class="_ _1"></span><span class="fc2 sc0">the </span><span class="_ _2"></span><span class="fc2 sc0">spreading </span><span class="_ _2"></span><span class="fc2 sc0">sequences </span><span class="_ _1"></span><span class="fc2 sc0">for </span><span class="_ _2"></span><span class="fc2 sc0">i</span></div><div class="t m0 x38 h19 y88 ff7 fs10 fc3 sc0 ls0 ws0"><span class="fc2 sc0">th</span></div><div class="t m0 x39 h11 y85 ff7 fsa fc3 sc0 ls0 ws0"><span class="fc2 sc0"> </span><span class="_ _2"></span><span class="fc2 sc0">sub-pulses. </span><span class="_ _1"></span><span class="fc2 sc0">Each </span><span class="_ _2"></span><span class="fc2 sc0">antenna </span><span class="_ _2"></span><span class="fc2 sc0">transmits</span></div><div class="t m0 x19 h11 y89 ff7 fsa fc3 sc0 ls0 ws0"><span class="fc2 sc0">two </span><span class="fc2 sc0">sub-pulses </span><span class="fc2 sc0">simultaneously.</span></div><div class="t m0 x19 h11 y8a ff7 fsa fc3 sc0 ls0 ws0"><span class="fc2 sc0">UWB-OFDM </span><span class="_ _4"></span><span class="fc2 sc0">waveforms </span><span class="_ _5"> </span><span class="fc2 sc0">are </span><span class="_ _5"> </span><span class="fc2 sc0">generated </span><span class="_ _5"> </span><span class="fc2 sc0">using </span><span class="_ _5"></span><span class="fc2 sc0">the </span><span class="_ _5"></span><span class="fc2 sc0">following </span><span class="_ _4"></span><span class="fc2 sc0">parameters: </span><span class="_ _5"> </span><span class="fc2 sc0">number </span><span class="_ _5"> </span><span class="fc2 sc0">of </span><span class="_ _5"> </span><span class="fc2 sc0">OFDM</span></div><div class="t m0 x19 h11 y8b ff7 fsa fc3 sc0 ls0 ws0"><span class="fc2 sc0">subcarriers, </span><span class="ff8"><span class="fc2 sc0">N</span></span><span class="fc2 sc0"> </span><span class="_ _1"></span><span class="fc2 sc0">= </span><span class="fc2 sc0">256, </span><span class="_ _1"></span><span class="fc2 sc0">sampling </span><span class="fc2 sc0">time, </span><span class="_ _1"></span><span class="ff8"><span class="fc2 sc0">Δt</span></span></div><div class="t m0 xf h1a y8c ff8 fs10 fc3 sc0 ls0 ws0"><span class="fc2 sc0">s</span></div><div class="t m0 x2a h11 y8b ff7 fsa fc3 sc0 ls0 ws0"><span class="fc2 sc0"> </span><span class="fc2 sc0">= </span><span class="_ _1"></span><span class="fc2 sc0">1ns </span><span class="fc2 sc0">results </span><span class="_ _1"></span><span class="fc2 sc0">in </span><span class="fc2 sc0">baseband </span><span class="_ _1"></span><span class="fc2 sc0">bandwidth, </span><span class="ff8"><span class="fc2 sc0">B</span></span></div><div class="t m0 x3a h1a y8c ff8 fs10 fc3 sc0 ls0 ws0"><span class="fc2 sc0">0</span></div><div class="t m0 x3b h11 y8b ff7 fsa fc3 sc0 ls0 ws0"><span class="fc2 sc0"> </span><span class="fc2 sc0">= </span><span class="fc2 sc0">1/2</span><span class="_ _1"></span><span class="ff8"><span class="fc2 sc0">Δt</span></span></div><div class="t m0 x3c h1a y8c ff8 fs10 fc3 sc0 ls0 ws0"><span class="fc2 sc0">s</span></div><div class="t m0 x3d h11 y8b ff7 fsa fc3 sc0 ls0 ws0"><span class="fc2 sc0"> </span><span class="fc2 sc0">= </span><span class="fc2 sc0">500</span></div><div class="t m0 x19 h11 y8d ff7 fsa fc3 sc0 ls0 ws0"><span class="fc2 sc0">MHz, </span><span class="_ _6"> </span><span class="fc2 sc0">dividing </span><span class="_ _6"> </span><span class="fc2 sc0">by </span><span class="_ _6"> </span><span class="fc2 sc0">a </span><span class="_ _6"> </span><span class="fc2 sc0">factor </span><span class="_ _5"> </span><span class="fc2 sc0">of </span><span class="_ _6"> </span><span class="fc2 sc0">two </span><span class="_ _6"> </span><span class="fc2 sc0">to </span><span class="_ _6"> </span><span class="fc2 sc0">satisfy </span><span class="_ _6"> </span><span class="fc2 sc0">Nyquist </span><span class="_ _6"> </span><span class="fc2 sc0">criterion. </span><span class="_ _6"> </span><span class="fc2 sc0">UWB-OFDM </span><span class="_ _6"> </span><span class="fc2 sc0">waveform </span><span class="_ _6"> </span><span class="fc2 sc0">in</span></div><div class="t m0 x19 h11 y8e ff7 fsa fc3 sc0 ls0 ws0"><span class="fc2 sc0">frequency </span><span class="_ _0"></span><span class="fc2 sc0">domain </span><span class="_ _3"></span><span class="fc2 sc0">and </span><span class="_ _0"></span><span class="fc2 sc0">time </span><span class="_ _3"></span><span class="fc2 sc0">domain </span><span class="_ _0"></span><span class="fc2 sc0">is </span><span class="_ _3"></span><span class="fc2 sc0">shown </span><span class="_ _0"></span><span class="fc2 sc0">in </span><span class="_ _3"></span><span class="fc2 sc0">Figure </span><span class="_ _0"></span><span class="fc2 sc0">3</span><span class="fc2 sc0"> </span><span class="_ _3"></span><span class="fc2 sc0">and </span><span class="_ _0"></span><span class="fc2 sc0">Figure </span><span class="_ _3"></span><span class="fc2 sc0">4 </span><span class="_ _0"></span><span class="fc2 sc0">respectively. </span><span class="_ _3"></span><span class="fc2 sc0">We </span><span class="_ _0"></span><span class="fc2 sc0">can</span></div><div class="t m0 x19 h11 y8f ff7 fsa fc3 sc0 ls0 ws0"><span class="fc2 sc0">observe </span><span class="_ _0"></span><span class="fc2 sc0">that </span><span class="_ _0"></span><span class="fc2 sc0">the </span><span class="_ _3"></span><span class="fc2 sc0">Hanning </span><span class="_ _0"></span><span class="fc2 sc0">window </span><span class="_ _0"></span><span class="fc2 sc0">reasonably </span><span class="_ _3"></span><span class="fc2 sc0">minimizes </span><span class="_ _0"></span><span class="fc2 sc0">side-lobes </span><span class="_ _0"></span><span class="fc2 sc0">which </span><span class="_ _0"></span><span class="fc2 sc0">in </span><span class="_ _3"></span><span class="fc2 sc0">turns </span><span class="_ _0"></span><span class="fc2 sc0">improve</span></div><div class="t m0 x19 h11 y90 ff7 fsa fc3 sc0 ls0 ws0"><span class="fc2 sc0">the </span><span class="_ _8"> </span><span class="fc2 sc0">auto-correlation </span><span class="_ _6"> </span><span class="fc2 sc0">function </span><span class="_ _8"> </span><span class="fc2 sc0">(ACF) </span><span class="_ _6"> </span><span class="fc2 sc0">and </span><span class="_ _8"> </span><span class="fc2 sc0">cross-correlation </span><span class="_ _8"> </span><span class="fc2 sc0">function </span><span class="_ _6"> </span><span class="fc2 sc0">(CCF) </span><span class="_ _8"> </span><span class="fc2 sc0">of </span><span class="_ _6"> </span><span class="fc2 sc0">time-domain</span></div><div class="t m0 x19 h11 y91 ff7 fsa fc3 sc0 ls0 ws0"><span class="fc2 sc0">OFDM </span><span class="fc2 sc0">waveforms </span><span class="fc2 sc0">as </span><span class="fc2 sc0">shown </span><span class="fc2 sc0">in </span><span class="fc2 sc0">Figure </span><span class="fc2 sc0">5</span><span class="fc2 sc0"> </span><span class="fc2 sc0">and </span><span class="fc2 sc0">Figure </span><span class="fc2 sc0">6, </span><span class="fc2 sc0">respectively.</span></div><div class="t m0 x19 h13 y92 ff4 fsc fc3 sc0 ls0 ws0"><span class="fc2 sc0">Figure </span><span class="fc2 sc0">2. </span><span class="ff5"><span class="fc2 sc0">OFDM </span><span class="fc2 sc0">signal </span><span class="fc2 sc0">generator</span></span></div><div class="t m0 x19 h13 y93 ff4 fsc fc3 sc0 ls0 ws0"><span class="fc2 sc0">Figure </span><span class="fc2 sc0">3. </span><span class="ff5"><span class="fc2 sc0">UWB-OFDM </span><span class="fc2 sc0">waveform </span><span class="fc2 sc0">in </span><span class="fc2 sc0">frequency-domain </span><span class="fc2 sc0">(a) </span><span class="fc2 sc0">before </span><span class="fc2 sc0">windowing </span><span class="fc2 sc0">(b) </span><span class="fc2 sc0">after </span><span class="fc2 sc0">windowing</span></span></div><div class="t m0 x19 h13 y64 ff5 fsc fc3 sc0 ls0 ws0"><span class="fc2 sc0">New </span><span class="fc2 sc0">Advances </span><span class="fc2 sc0">in </span><span class="fc2 sc0">Image </span><span class="fc2 sc0">Fusion</span></div><div class="t m0 x1b h13 y65 ff5 fsc fc3 sc0 ls0 ws0"><span class="fc2 sc0">40</span></div></div><div class="pi" data-data='{"ctm":[1.991701,0.000000,0.000000,1.991701,0.000000,0.000000]}'></div></div>