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尊敬的站长: 鄙人是研究MIMO通信系统的一名研究生,经人介绍找到贵站,感觉贵网站资料有鄙人一直苦苦搜索的内容,但苦于自己不是专门的编程人员,对源码所知甚少,仅上传4篇有关我研究专业的英文版论文,均为2005年下半年及06年IEEE检索文章(国内网站均未见中文版本,对于研究MCMC(蒙特卡罗-马尔科夫检测方法)方法有很大帮助),希望能予以录用,给予下载权限(本人只需很少资源有寥寥几个便足矣)。盼回信告之!
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<html xmlns="http://www.w3.org/1999/xhtml"> <head> <meta charset="utf-8"> <meta name="generator" content="pdf2htmlEX"> <meta http-equiv="X-UA-Compatible" content="IE=edge,chrome=1"> <link rel="stylesheet" href="https://static.pudn.com/base/css/base.min.css"> <link rel="stylesheet" href="https://static.pudn.com/base/css/fancy.min.css"> <link rel="stylesheet" href="https://static.pudn.com/prod/directory_preview_static/622b359281ded46b7f4dd50c/raw.css"> <script src="https://static.pudn.com/base/js/compatibility.min.js"></script> <script src="https://static.pudn.com/base/js/pdf2htmlEX.min.js"></script> <script> try{ pdf2htmlEX.defaultViewer = new pdf2htmlEX.Viewer({}); }catch(e){} </script> <title></title> </head> <body> <div id="sidebar" style="display: none"> <div id="outline"> </div> </div> <div id="pf1" class="pf w0 h0" data-page-no="1"><div class="pc pc1 w0 h0"><img class="bi x0 y0 w1 h1" alt="" src="https://static.pudn.com/prod/directory_preview_static/622b359281ded46b7f4dd50c/bg1.jpg"><div class="t m0 x1 h2 y1 ff1 fs0 fc0 sc0 ls0 ws0">2005 </div><div class="t m1 x2 h3 y1 ff1 fs1 fc0 sc0 ls1 ws0">IEEE </div><div class="t m2 x3 h4 y1 ff1 fs2 fc0 sc0 ls2 ws0">6th </div><div class="t m3 x4 h3 y1 ff1 fs1 fc0 sc0 ls1 ws0">Workshop </div><div class="t m4 x5 h2 y1 ff1 fs0 fc0 sc0 ls0 ws0">on </div><div class="t m5 x6 h5 y1 ff1 fs3 fc0 sc0 ls3 ws0">Signal Processing </div><div class="t m6 x7 h6 y1 ff1 fs4 fc0 sc0 ls3 ws0">Advances </div><div class="t m7 x8 h5 y1 ff1 fs3 fc0 sc0 ls3 ws0">in </div><div class="t m5 x9 h5 y1 ff1 fs3 fc0 sc0 ls4 ws0">Wireless </div><div class="t m8 xa h7 y1 ff1 fs5 fc0 sc0 ls5 ws0">Communications </div><div class="t m9 xb h8 y2 ff2 fs6 fc0 sc0 ls6 ws0">Capacity-approaching </div><div class="t ma xc h9 y2 ff2 fs7 fc0 sc0 ls7 ws0">LDPC </div><div class="t mb xd ha y2 ff3 fs8 fc0 sc0 ls8 ws0">Codes </div><div class="t mc xe hb y2 ff3 fs6 fc0 sc0 ls9 ws0">Based </div><div class="t md xf hc y2 ff3 fs7 fc0 sc0 ls3 ws0">on </div><div class="t me xa hb y2 ff3 fs6 fc0 sc0 ls3 ws0">Markov </div><div class="t mb x10 ha y2 ff3 fs8 fc0 sc0 ls3 ws0">Chain </div><div class="t mf x11 hd y3 ff3 fs9 fc0 sc0 ls3 ws0">Monte </div><div class="t m10 xc hd y3 ff3 fs9 fc0 sc0 lsa ws0">Carlo </div><div class="t m11 x12 hd y3 ff3 fs9 fc0 sc0 ls3 ws0">MIMO </div><div class="t m12 xe he y3 ff3 fsa fc0 sc0 lsb ws0">Detection </div><div class="t m13 x13 hf y4 ff3 fsb fc0 sc0 lsc ws0">Rong-Rong </div><div class="t m5 x14 h10 y4 ff4 fsc fc0 sc0 lsd ws0">Chen </div><div class="t m14 x15 h11 y4 ff3 fsd fc0 sc0 ls3 ws0">and </div><div class="t m15 x16 h12 y4 ff3 fse fc0 sc0 lse ws0">Behrouz </div><div class="t m2 x17 h13 y4 ff3 fs2 fc0 sc0 lsf ws0">Farhang-Boroujzny </div><div class="t m2 x18 h13 y5 ff3 fs2 fc0 sc0 ls10 ws0">Department </div><div class="t m16 x19 h12 y6 ff3 fse fc0 sc0 ls11 ws0">of </div><div class="t m2 x1a h13 y6 ff3 fs2 fc0 sc0 ls12 ws0">Electrical </div><div class="t m17 x1b h14 y6 ff3 fsf fc0 sc0 ls13 ws0">and </div><div class="t m18 x1c h15 y6 ff2 fs10 fc0 sc0 ls14 ws0">Computer </div><div class="t m2 x1d h13 y6 ff3 fs2 fc0 sc0 lsf ws0">Engineering, </div><div class="t m2 x1e h13 y7 ff3 fs2 fc0 sc0 lsf ws0">University </div><div class="t m19 x1f h16 y8 ff3 fs11 fc0 sc0 ls15 ws0">of </div><div class="t m1a x20 h17 y8 ff3 fs12 fc0 sc0 ls3 ws0">Utah, </div><div class="t m1b x21 h18 y8 ff2 fsd fc0 sc0 ls16 ws0">UT </div><div class="t m1c xe h19 y8 ff2 fse fc0 sc0 ls17 ws0">841 </div><div class="t m2 x22 h13 y8 ff3 fs2 fc0 sc0 ls18 ws0">12 </div><div class="t m1d x1e h11 y9 ff3 fsd fc0 sc0 ls19 ws0">{rchen,farhang} </div><div class="t m2 x23 h13 y9 ff3 fs2 fc0 sc0 ls1a ws0">@ece.utah.edu </div><div class="t m2 x24 h13 ya ff3 fs2 fc0 sc0 ls10 ws0">Alexei </div><div class="t m1e x25 h1a yb ff2 fs13 fc0 sc0 ls3 ws0">Ashikhmin </div><div class="t m1f x26 h12 yc ff3 fse fc0 sc0 ls3 ws0">Bell </div><div class="t m2 x1e h13 yc ff3 fs2 fc0 sc0 lsf ws0">Laboratories, </div><div class="t m15 x20 h12 yc ff3 fse fc0 sc0 lse ws0">Lucent </div><div class="t m2 x17 h13 yc ff3 fs2 fc0 sc0 lsf ws0">Technologies, </div><div class="t m20 x27 h16 yd ff3 fs11 fc0 sc0 ls1b ws0">Murray </div><div class="t m2 x28 h13 yd ff3 fs2 fc0 sc0 lsf ws0">Rill, </div><div class="t m21 x29 hf yd ff3 fsb fc0 sc0 ls1c ws0">NJ </div><div class="t m5 x2a h1b yd ff3 fs10 fc0 sc0 ls14 ws0">07974 </div><div class="t m22 x2b h1b ye ff3 fs10 fc0 sc0 ls3 ws0">aea </div><div class="t m2 x2c h13 ye ff3 fs2 fc0 sc0 ls12 ws0">@bell-labs.com </div><div class="t m23 x2d h1c yf ff5 fs4 fc0 sc0 ls1d ws0">Abstruct-h </div><div class="t m2 x1 h13 yf ff3 fs2 fc0 sc0 ls3 ws0">this <span class="_ _0"></span><span class="ls1e">work <span class="_ _1"></span><span class="ls1f">we </span></span></div><div class="t m24 x2e h1d yf ff2 fs3 fc0 sc0 ls4 ws0">study </div><div class="t m25 x2f h1e yf ff2 fs5 fc0 sc0 ls5 ws0">joint </div><div class="t m2 x30 h13 yf ff3 fs2 fc0 sc0 ls1e ws0">code </div><div class="t m26 x31 h1f yf ff2 fs4 fc0 sc0 ls20 ws0">design </div><div class="t m2 x1a h13 yf ff3 fs2 fc0 sc0 ls1a ws0">and </div><div class="t m27 x32 h20 yf ff2 fs14 fc0 sc0 ls3 ws0">MIMO </div><div class="t m2 x33 h13 y10 ff3 fs2 fc0 sc0 ls3 ws0">(multiple-input <span class="_ _2"></span>multiple-output) <span class="_ _3"></span><span class="ls1e">detection <span class="_ _0"></span>based </span></div><div class="t m28 x34 h1d y10 ff2 fs3 fc0 sc0 ls4 ws0">on </div><div class="t m2 x35 h13 y10 ff3 fs2 fc0 sc0 ls2 ws0">Markov <span class="ls21">Chah </span></div><div class="t m2 x33 h13 y11 ff3 fs2 fc0 sc0 ls2 ws0">Monte </div><div class="t m5 x36 h1d y11 ff2 fs3 fc0 sc0 ls22 ws0">Carlo </div><div class="t m29 x37 h21 y11 ff2 fs15 fc0 sc0 ls23 ws0">(MCMC) </div><div class="t m2 x38 h13 y11 ff3 fs2 fc0 sc0 ls3 ws0">approach. <span class="_ _4"></span><span class="ls2">The <span class="ls1e">extrinsic </span></span></div><div class="t m6 x39 h1f y11 ff2 fs4 fc0 sc0 ls24 ws0">information </div><div class="t m2 x3a h13 y11 ff3 fs2 fc0 sc0 ls25 ws0">trans- </div><div class="t m2a x33 h1d y12 ff2 fs3 fc0 sc0 ls26 ws0">fer </div><div class="t m2b x3b h22 y12 ff2 fs1 fc0 sc0 ls3 ws0">(EXIT) </div><div class="t m2 x3c h13 y12 ff3 fs2 fc0 sc0 ls3 ws0">technique </div><div class="t m2c x2 h1f y12 ff2 fs4 fc0 sc0 ls27 ws0">is </div><div class="t m2 x3d h13 y12 ff3 fs2 fc0 sc0 ls1e ws0">applied <span class="_ _5"> </span><span class="ls25">to </span></div><div class="t m2d x2f h1f y12 ff2 fs4 fc0 sc0 ls28 ws0">find </div><div class="t m2 x3e h13 y12 ff3 fs2 fc0 sc0 ls3 ws0">optimal <span class="_ _0"></span><span class="ls25">irregular </span></div><div class="t m29 x3f h21 y12 ff2 fs15 fc0 sc0 ls23 ws0">LDPC </div><div class="t m2 x33 h13 y13 ff3 fs2 fc0 sc0 ls1e ws0">codes <span class="_ _6"> </span><span class="ls12">that </span></div><div class="t m2e x40 h23 y13 ff3 fs16 fc0 sc0 ls29 ws0">are </div><div class="t m2 x41 h13 y13 ff3 fs2 fc0 sc0 ls2 ws0">matched <span class="_ _7"> </span><span class="ls25">to <span class="_ _8"> </span><span class="ls3">the <span class="_ _6"> </span><span class="ls1e">Characteristics </span></span></span></div><div class="t m5 x42 h1e y13 ff2 fs5 fc0 sc0 ls2a ws0">of </div><div class="t m2 x43 h13 y13 ff3 fs2 fc0 sc0 ls3 ws0">the </div><div class="t m29 x44 h21 y13 ff2 fs15 fc0 sc0 ls2b ws0">MCMC </div><div class="t m2 x33 h13 y14 ff3 fs2 fc0 sc0 ls1e ws0">detector. </div><div class="t m2f x45 h1e y14 ff2 fs5 fc0 sc0 ls2a ws0">For </div><div class="t m30 x37 h23 y14 ff3 fs16 fc0 sc0 ls29 ws0">a </div><div class="t m2 x46 h13 y14 ff3 fs2 fc0 sc0 ls3 ws0">large <span class="ls1e">system </span></div><div class="t m31 x47 h24 y14 ff2 fs17 fc0 sc0 ls2c ws0">of </div><div class="t m32 x48 h1d y14 ff2 fs3 fc0 sc0 ls3 ws0">8 </div><div class="t m2 x49 h13 y14 ff3 fs2 fc0 sc0 ls25 ws0">transmit </div><div class="t m33 x4a h25 y14 ff6 fs18 fc0 sc0 ls3 ws0">and </div><div class="t m32 x4b h1d y14 ff2 fs3 fc0 sc0 ls3 ws0">8 </div><div class="t m2 x4c h13 y14 ff3 fs2 fc0 sc0 ls1e ws0">receive <span class="_ _0"></span><span class="ls25">antennas </span></div><div class="t m34 x33 h26 y15 ff2 fs19 fc0 sc0 ls2d ws0">and </div><div class="t m35 x4d h27 y15 ff1 fs16 fc0 sc0 ls2e ws0">16 </div><div class="t m36 x4e h1d y15 ff2 fs3 fc0 sc0 ls2f ws0">QAM </div><div class="t m2 x46 h13 y15 ff3 fs2 fc0 sc0 ls1e ws0">modulation, <span class="_ _7"> </span><span class="ls25">the <span class="_ _9"> </span></span>optimized </div><div class="t m20 x4f h26 y15 ff2 fs19 fc0 sc0 ls3 ws0">LDPC </div><div class="t m37 x50 h28 y15 ff1 fs18 fc0 sc0 ls30 ws0">code </div><div class="t m2 x51 h13 y15 ff3 fs2 fc0 sc0 ls1e ws0">achieves </div><div class="t m2 x33 h13 y16 ff3 fs2 fc0 sc0 ls1e ws0">within </div><div class="t m38 x52 h29 y16 ff1 fs15 fc0 sc0 ls31 ws0">1.4 </div><div class="t m39 x53 h1e y16 ff2 fs5 fc0 sc0 ls32 ws0">dB </div><div class="t m3a x54 h26 y16 ff2 fs19 fc0 sc0 ls33 ws0">of </div><div class="t m2 x55 h13 y16 ff3 fs2 fc0 sc0 ls3 ws0">the <span class="_ _a"></span><span class="ls1e">channel <span class="_ _a"></span>capacity, <span class="_ _5"></span><span class="ls25">This </span></span></div><div class="t m3b x5 h1d y16 ff2 fs3 fc0 sc0 ls3 ws0">result </div><div class="t m2 x50 h13 y16 ff3 fs2 fc0 sc0 ls1e ws0">improves </div><div class="t m26 x56 h1f y16 ff2 fs4 fc0 sc0 ls3 ws0">best </div><div class="t m2 x33 h13 y17 ff3 fs2 fc0 sc0 ls1e ws0">published </div><div class="t m3c x57 h26 y17 ff2 fs19 fc0 sc0 ls3 ws0">results </div><div class="t m3d x58 h1e y17 ff2 fs5 fc0 sc0 ls5 ws0">by </div><div class="t m24 x59 h2a y17 ff6 fs3 fc0 sc0 ls34 ws0">2.3 </div><div class="t m3e x5a h26 y17 ff2 fs19 fc0 sc0 ls35 ws0">dB, </div><div class="t m2 x5b h13 y17 ff3 fs2 fc0 sc0 ls1e ws0">where </div><div class="t m3f x18 h2b y17 ff5 fs3 fc0 sc0 ls36 ws0">1.3 </div><div class="t m3e x5c h26 y17 ff2 fs19 fc0 sc0 ls37 ws0">dB </div><div class="t m40 x26 h2c y17 ff7 fs2 fc0 sc0 ls38 ws0">is </div><div class="t m5 x5d h24 y17 ff2 fs17 fc0 sc0 ls39 ws0">due </div><div class="t m1 x35 h22 y17 ff2 fs1 fc0 sc0 ls3a ws0">to </div><div class="t m2 x1a h13 y17 ff3 fs2 fc0 sc0 ls3 ws0">the </div><div class="t m41 x44 h1d y17 ff2 fs3 fc0 sc0 ls3 ws0">MCMC </div><div class="t m23 x33 h1f y18 ff2 fs4 fc0 sc0 ls3 ws0">detection </div><div class="t m2 x5e h13 y18 ff3 fs2 fc0 sc0 ls1a ws0">and </div><div class="t m42 x5f h27 y18 ff1 fs16 fc0 sc0 ls3 ws0">1 </div><div class="t m20 x60 h26 y18 ff2 fs19 fc0 sc0 ls35 ws0">dB </div><div class="t m43 x61 h2d y18 ff1 fs1a fc0 sc0 ls3b ws0">is </div><div class="t m35 x62 h27 y18 ff1 fs16 fc0 sc0 ls3c ws0">due </div><div class="t m44 x63 h2e y18 ff1 fs1b fc0 sc0 ls3d ws0">to </div><div class="t m45 x5b h2d y18 ff1 fs1a fc0 sc0 ls3 ws0">code </div><div class="t m2 x64 h13 y18 ff3 fs2 fc0 sc0 ls1e ws0">optimization. </div><div class="t m46 x65 h2f y19 ff2 fsc fc0 sc0 ls3e ws0">I. </div><div class="t m47 x66 h30 y19 ff3 fsc fc0 sc0 ls3f ws0">INTRODUCTION </div><div class="t m48 x67 h31 y1a ff3 fs14 fc0 sc0 ls40 ws0">In </div><div class="t m2 x68 h13 y1a ff3 fs2 fc0 sc0 ls25 ws0">recent <span class="_ _a"></span>years, <span class="_ _5"></span><span class="ls3">the <span class="_ _a"></span>use </span></div><div class="t m49 x47 h32 y1a ff3 fs4 fc0 sc0 ls28 ws0">of </div><div class="t m2 x69 h13 y1a ff3 fs2 fc0 sc0 ls25 ws0">multiple <span class="_ _a"></span>antennas <span class="_ _1"></span><span class="ls3">at <span class="_ _5"> </span>both <span class="_ _9"> </span>trans- </span></div><div class="t m2 x33 h13 y1b ff3 fs2 fc0 sc0 ls25 ws0">mitter <span class="_ _9"> </span><span class="ls1a">and <span class="_ _9"> </span><span class="ls3">receiver <span class="_ _9"> </span></span>ends <span class="_ _a"></span><span class="lsf">of </span></span></div><div class="t m4a x48 h12 y1c ff3 fse fc0 sc0 lse ws0">a </div><div class="t m2 x6a h13 y1c ff3 fs2 fc0 sc0 ls25 ws0">communication <span class="_ _5"> </span>link <span class="_"> </span><span class="ls12">has <span class="_ _1"></span></span>been </div><div class="t m2 x33 h13 y1d ff3 fs2 fc0 sc0 ls3 ws0">identified </div><div class="t m4b x53 h33 y1e ff2 fs1c fc0 sc0 ls41 ws0">and </div><div class="t m2 x1 h13 y1e ff3 fs2 fc0 sc0 ls3 ws0">widely <span class="_ _8"> </span>studied <span class="_ _7"> </span>as <span class="_ _6"> </span><span class="ls25">the <span class="_ _7"> </span><span class="ls2">most <span class="_ _7"> </span></span></span>practical <span class="_ _7"> </span><span class="ls2">method </span></div><div class="t m4c x33 h34 y1f ff3 fs13 fc0 sc0 ls42 ws0">of </div><div class="t m2 x6b h13 y1f ff3 fs2 fc0 sc0 ls25 ws0">increasing <span class="_ _9"> </span>the <span class="_ _9"> </span><span class="ls3">channel <span class="_ _b"> </span>capacity, <span class="_"> </span></span>and <span class="_"> </span>also </div><div class="t m4d x42 h13 y1f ff3 fs2 fc0 sc0 ls43 ws0">to </div><div class="t m2 x43 h13 y1f ff3 fs2 fc0 sc0 ls25 ws0">guarantee <span class="_ _9"> </span><span class="ls3">a </span></div><div class="t m2 x33 h13 y20 ff3 fs2 fc0 sc0 ls25 ws0">reliable <span class="_ _b"> </span>link <span class="_ _7"> </span><span class="ls2">(i.e., </span></div><div class="t m0 x6c h35 y21 ff3 fs0 fc0 sc0 ls3 ws0">to </div><div class="t m2 x6d h13 y21 ff3 fs2 fc0 sc0 ls25 ws0">minimize <span class="_ _9"> </span>the <span class="_ _b"> </span>outage <span class="_ _8"> </span>probability) </div><div class="t m4e x6e h35 y21 ff3 fs0 fc0 sc0 ls44 ws0">[I </div><div class="t m4f x6f h36 y21 ff2 fs1d fc0 sc0 ls45 ws0">J, </div><div class="t m50 x70 h2f y22 ff2 fsc fc0 sc0 ls46 ws0">121, </div><div class="t m51 x71 h37 y22 ff6 fs14 fc0 sc0 ls47 ws0">[3]. </div><div class="t m5 x72 h38 y22 ff4 fs17 fc0 sc0 ls48 ws0">[4]. </div><div class="t m2 x73 h13 y22 ff3 fs2 fc0 sc0 ls25 ws0">Such <span class="_ _a"></span><span class="ls3">systems <span class="_ _a"></span><span class="ls1a">can <span class="_ _a"></span></span>theoretically <span class="_ _9"> </span></span>increase <span class="_ _a"></span>capacity </div><div class="t m2 x33 h13 y23 ff3 fs2 fc0 sc0 ls1e ws0">by <span class="_ _b"> </span><span class="ls12">up </span></div><div class="t m2a x74 h39 y23 ff3 fs3 fc0 sc0 ls2f ws0">to </div><div class="t m4d x53 h13 y23 ff3 fs2 fc0 sc0 ls3 ws0">a </div><div class="t m2 x75 h13 y23 ff3 fs2 fc0 sc0 ls25 ws0">factor <span class="_ _5"> </span>equaling <span class="_ _9"> </span>the <span class="_ _9"> </span><span class="ls3">minimum </span></div><div class="t m52 x5d h35 y23 ff3 fs0 fc0 sc0 ls49 ws0">of </div><div class="t m2 x42 h13 y23 ff3 fs2 fc0 sc0 ls4a ws0">the <span class="_ _5"> </span><span class="ls1a">number </span></div><div class="t m5 x12 h3a y23 ff2 fs1e fc0 sc0 ls4b ws0">of </div><div class="t m2 x33 h13 y24 ff3 fs2 fc0 sc0 ls25 ws0">transmit </div><div class="t m53 x72 h35 y24 ff3 fs0 fc0 sc0 ls4c ws0">and </div><div class="t m2 x76 h13 y24 ff3 fs2 fc0 sc0 ls25 ws0">receive <span class="_ _a"></span>antennas <span class="_ _1"></span><span class="ls3">in <span class="_ _5"> </span></span>the <span class="_ _5"> </span>array </div><div class="t m54 x5d h30 y24 ff3 fsc fc0 sc0 ls4d ws0">[I]. </div><div class="t m55 x77 h13 y24 ff3 fs2 fc0 sc0 ls43 ws0">[2]. </div><div class="t m2 x78 h13 y24 ff3 fs2 fc0 sc0 ls1a ws0">The <span class="_ _a"></span><span class="ls25">term </span></div><div class="t m56 x33 h30 y25 ff3 fsc fc0 sc0 ls3 ws0">MIMO </div><div class="t m2 x79 h13 y25 ff3 fs2 fc0 sc0 ls3 ws0">(multiple-input <span class="_ _a"></span>multiple-output) <span class="_ _0"></span><span class="ls10">is <span class="_ _c"></span><span class="ls25">used <span class="_ _0"></span>to <span class="_ _d"></span>refer <span class="_ _d"></span>to <span class="_ _0"></span><span class="ls3">such </span></span></span></div><div class="t m2 x33 h13 y26 ff3 fs2 fc0 sc0 ls25 ws0">channels. </div><div class="t m57 x67 h3b y27 ff2 fs2 fc0 sc0 ls3 ws0">While </div><div class="t m58 x7a h30 y27 ff3 fsc fc0 sc0 ls3 ws0">MIMO </div><div class="t m2 x7b h13 y27 ff3 fs2 fc0 sc0 ls25 ws0">channels <span class="_"> </span>promise <span class="_"> </span><span class="ls3">significant <span class="_"> </span></span>capacity <span class="_ _9"> </span>gain, </div><div class="t m59 x33 h17 y28 ff3 fs12 fc0 sc0 ls3 ws0">it </div><div class="t m1f x67 h12 y28 ff3 fse fc0 sc0 ls4e ws0">is </div><div class="t m4d x7c h13 y28 ff3 fs2 fc0 sc0 ls3 ws0">a </div><div class="t m2 x74 h13 y28 ff3 fs2 fc0 sc0 ls25 ws0">challenging </div><div class="t m5 x6c h22 y28 ff2 fs1 fc0 sc0 ls4f ws0">task </div><div class="t m4d x66 h13 y28 ff3 fs2 fc0 sc0 ls43 ws0">to </div><div class="t m2 x7d h13 y28 ff3 fs2 fc0 sc0 ls25 ws0">design <span class="_ _5"> </span>capacity-approaching <span class="_ _0"></span>codes </div><div class="t m2 x33 h13 y29 ff3 fs2 fc0 sc0 ls25 ws0">and <span class="_ _a"></span>detection <span class="_ _1"></span>strategies to <span class="_ _a"></span><span class="ls3">realize <span class="_ _5"> </span></span>the <span class="_ _1"></span>promised <span class="_ _a"></span>capacity <span class="_ _1"></span><span class="ls3">gain. </span></div><div class="t m5a x33 h3c y2a ff2 fs0 fc0 sc0 ls50 ws0">It </div><div class="t m5b x7e h31 y2a ff3 fs14 fc0 sc0 ls40 ws0">is </div><div class="t m2 x7f h13 y2a ff3 fs2 fc0 sc0 ls2 ws0">well-known <span class="_ _e"> </span><span class="ls3">that <span class="_"> </span>powerful <span class="_ _5"> </span><span class="ls25">channel <span class="_"> </span><span class="ls1a">codes <span class="_ _a"></span>such <span class="_ _9"> </span></span></span>as <span class="_ _9"> </span><span class="ls25">turbo </span></span></div><div class="t m2 x33 h13 y2b ff3 fs2 fc0 sc0 ls25 ws0">codes </div><div class="t m5c x80 h3d y2c ff3 fs1f fc0 sc0 ls51 ws0">1.51, </div><div class="t m5d x81 h3e y2c ff3 fs1e fc0 sc0 ls52 ws0">161 </div><div class="t m2 x82 h13 y2c ff3 fs2 fc0 sc0 ls1a ws0">and <span class="_ _d"></span><span class="ls2">low <span class="_ _a"></span><span class="ls3">density <span class="_ _0"></span>parity <span class="_ _a"></span><span class="ls25">check </span></span></span></div><div class="t m5e x83 h17 y2c ff3 fs12 fc0 sc0 ls3 ws0">(LDPC) </div><div class="t m2 x84 h13 y2c ff3 fs2 fc0 sc0 ls1a ws0">codes </div><div class="t m5f x6e h3a y2c ff2 fs1e fc0 sc0 ls3 ws0">[7], </div><div class="t m60 x70 h3f y2d ff6 fsd fc0 sc0 ls53 ws0">[SI </div><div class="t m2 x85 h13 y2d ff3 fs2 fc0 sc0 ls3 ws0">can <span class="_ _5"> </span><span class="ls25">approach <span class="_ _0"></span></span>channel <span class="_ _a"></span><span class="ls25">capacity </span></div><div class="t m61 x86 h31 y2d ff3 fs14 fc0 sc0 ls54 ws0">for </div><div class="t m2 x87 h13 y2d ff3 fs2 fc0 sc0 ls25 ws0">standard <span class="_ _d"></span>additive <span class="_ _a"></span><span class="ls3">white </span></div><div class="t m2 x70 h13 y2e ff3 fs2 fc0 sc0 ls2 ws0">Gaussian </div><div class="t m58 x88 h30 y2f ff3 fsc fc0 sc0 ls3 ws0">noise </div><div class="t m1d x89 h3b y2f ff2 fs2 fc0 sc0 ls25 ws0">(AWGN) </div><div class="t m2 x8a h13 y2f ff3 fs2 fc0 sc0 ls3 ws0">channels. <span class="_"> </span><span class="ls25">Hence, <span class="_ _9"> </span>these <span class="_ _9"> </span>codes <span class="_ _5"> </span><span class="ls4a">offer </span></span></div><div class="t m2 x33 h13 y30 ff3 fs2 fc0 sc0 ls1a ws0">hope <span class="_ _a"></span><span class="lsf">to <span class="_ _a"></span><span class="ls25">bring </span></span></div><div class="t m15 x1 h19 y31 ff2 fse fc0 sc0 ls4e ws0">us </div><div class="t m2 x8b h13 y31 ff3 fs2 fc0 sc0 ls25 ws0">close </div><div class="t m4d x66 h13 y31 ff3 fs2 fc0 sc0 ls43 ws0">to </div><div class="t m2 x8c h13 y31 ff3 fs2 fc0 sc0 ls25 ws0">capacity </div><div class="t m62 x8d h40 y31 ff7 fs0 fc0 sc0 ls55 ws0">for </div><div class="t m2 x8e h13 y31 ff3 fs2 fc0 sc0 ls25 ws0">nonstandard <span class="_ _a"></span>channels </div><div class="t m2 x70 h13 y32 ff3 fs2 fc0 sc0 ls25 ws0">including <span class="ls3">multiple <span class="_ _a"></span></span>antenna fading channels. </div><div class="t m63 x83 h13 y33 ff3 fs2 fc0 sc0 ls43 ws0">For </div><div class="t m2 x19 h13 y33 ff3 fs2 fc0 sc0 ls25 ws0">such <span class="_ _d"></span>channels, </div><div class="t m2 x33 h13 y34 ff3 fs2 fc0 sc0 ls2 ws0">however, <span class="_"> </span><span class="ls3">powerful <span class="_ _5"> </span><span class="ls25">channel <span class="_ _5"></span>codes <span class="_ _a"></span>alone </span></span></div><div class="t m58 x8f h30 y35 ff3 fsc fc0 sc0 ls3 ws0">are </div><div class="t m2 x90 h13 y35 ff3 fs2 fc0 sc0 ls25 ws0">not <span class="_ _5"> </span><span class="ls3">sufficient. <span class="_ _5"></span><span class="ls4a">At </span></span></div><div class="t m2 x70 h13 y36 ff3 fs2 fc0 sc0 ls25 ws0">the <span class="_ _0"></span>receiver <span class="_ _0"></span><span class="ls4a">end, </span></div><div class="t m64 x91 h13 y37 ff3 fs2 fc0 sc0 ls3 ws0">a </div><div class="t m65 x92 h13 y37 ff3 fs2 fc0 sc0 ls3 ws0">MIMO </div><div class="t m2 x47 h13 y37 ff3 fs2 fc0 sc0 ls25 ws0">detector <span class="_ _d"></span>should <span class="_ _1"></span><span class="ls12">be <span class="ls3">used <span class="_ _a"></span><span class="lsf">to </span></span></span>separate </div><div class="t m2 x33 h13 y38 ff3 fs2 fc0 sc0 ls4a ws0">the <span class="_ _4"></span><span class="ls1a">data symbols <span class="_ _f"></span><span class="ls25">that <span class="_ _d"></span><span class="ls1e">have <span class="_ _a"></span><span class="ls2">been <span class="_ _a"></span><span class="ls3">transmitted <span class="_ _0"></span>concurrently. <span class="_ _1"></span></span></span></span>Most </span></span></div><div class="t m2 x33 h13 y39 ff3 fs2 fc0 sc0 ls25 ws0">importantly, <span class="_ _0"></span><span class="ls3">in <span class="_"> </span><span class="ls1a">order </span></span></div><div class="t m66 x38 h32 y39 ff3 fs4 fc0 sc0 ls56 ws0">to </div><div class="t m2 x93 h13 y39 ff3 fs2 fc0 sc0 ls3 ws0">achieve <span class="_ _a"></span>capacity, <span class="_"> </span>the <span class="_ _a"></span><span class="ls25">receiver <span class="_ _5"> </span></span>should </div><div class="t m4c x33 h34 y3a ff3 fs13 fc0 sc0 ls57 ws0">resort </div><div class="t m0 x36 h35 y3a ff3 fs0 fc0 sc0 ls3 ws0">to </div><div class="t m2 x7a h13 y3a ff3 fs2 fc0 sc0 ls3 ws0">&#8220;turbo-principle&#8221; </div><div class="t m65 x94 h13 y3a ff3 fs2 fc0 sc0 ls2 ws0">to </div><div class="t m2 x95 h13 y3a ff3 fs2 fc0 sc0 ls3 ws0">allow <span class="_ _5"> </span>iterative <span class="_ _a"></span><span class="ls1a">exchange </span></div><div class="t m5 x15 h41 y3a ff3 fs1c fc0 sc0 ls58 ws0">of <span class="_ _7"> </span><span class="fs14 ls3">soft </span></div><div class="t m2 x33 h13 y3b ff3 fs2 fc0 sc0 ls25 ws0">information <span class="_ _a"></span>between <span class="_ _a"></span>the </div><div class="t m67 x63 h35 y3b ff3 fs0 fc0 sc0 ls3 ws0">MIMO </div><div class="t m2 x96 h13 y3b ff3 fs2 fc0 sc0 ls25 ws0">detector <span class="_ _a"></span><span class="ls1a">and <span class="_ _a"></span><span class="ls4a">the </span></span>channel <span class="_ _5"> </span>de- </div><div class="t m2 x33 h13 y3c ff3 fs2 fc0 sc0 ls3 ws0">coder. <span class="_ _5"> </span><span class="ls1a">Such <span class="_ _a"></span></span>iterative <span class="_ _a"></span>receivers </div><div class="t m68 x97 h31 y3d ff3 fs14 fc0 sc0 ls59 ws0">are </div><div class="t m2 x98 h13 y3d ff3 fs2 fc0 sc0 ls3 ws0">necessary </div><div class="t m4d x99 h13 y3d ff3 fs2 fc0 sc0 ls43 ws0">to </div><div class="t m2 x77 h13 y3d ff3 fs2 fc0 sc0 ls25 ws0">facilitate <span class="_ _1"></span>near </div><div class="t m2 x33 h13 y3e ff3 fs2 fc0 sc0 ls25 ws0">capacity <span class="_ _d"></span><span class="ls1a">performance <span class="_ _4"></span><span class="ls3">at <span class="_ _a"></span>low-complexity. </span></span></div><div class="t m2 x2d h13 y3f ff3 fs2 fc0 sc0 ls12 ws0">It </div><div class="t m69 x4d h30 y40 ff3 fsc fc0 sc0 ls5a ws0">is </div><div class="t m2 x9a h13 y40 ff3 fs2 fc0 sc0 ls25 ws0">shown <span class="_ _a"></span><span class="ls4a">in </span></div><div class="t m6a x7b h3b y40 ff2 fs2 fc0 sc0 ls3 ws0">[16], </div><div class="t m6b x3d h42 y40 ff1 fs19 fc0 sc0 ls5b ws0">[15], <span class="_ _5"> </span><span class="ls5c">1141 </span></div><div class="t m2 x9b h13 y40 ff3 fs2 fc0 sc0 ls25 ws0">that </div><div class="t m6c x9c h30 y40 ff3 fsc fc0 sc0 ls3 ws0">MIMO </div><div class="t m2 x1e h13 y40 ff3 fs2 fc0 sc0 ls25 ws0">detectors <span class="_ _a"></span>based </div><div class="t m2 x33 h13 y41 ff3 fs2 fc0 sc0 ls1a ws0">on <span class="_ _5"> </span><span class="ls4a">the </span></div><div class="t m5 x9a h31 y42 ff3 fs14 fc0 sc0 ls3 ws0">Gibbs </div><div class="t m2 x46 h13 y42 ff3 fs2 fc0 sc0 ls12 ws0">sampled <span class="ls25">Markov <span class="_ _5"> </span>chain <span class="_ _9"> </span><span class="ls1a">Monte </span></span></div><div class="t m6d x9d h35 y42 ff3 fs0 fc0 sc0 ls0 ws0">Carlo </div><div class="t m6e x2b h35 y42 ff3 fs0 fc0 sc0 ls3 ws0">(MCMC) </div><div class="t m2 x9e h13 y43 ff3 fs2 fc0 sc0 ls25 ws0">methods <span class="_ _a"></span><span class="ls3">lead </span></div><div class="t m6f x9f h34 y43 ff3 fs13 fc0 sc0 ls5d ws0">to </div><div class="t m2 xa0 h13 y43 ff3 fs2 fc0 sc0 ls3 ws0">significant <span class="_ _a"></span><span class="ls25">performance <span class="_ _5"> </span>gain <span class="_ _9"> </span>over <span class="_ _a"></span>other <span class="_ _9"> </span><span class="ls1a">de- </span></span></div><div class="t m2 x9e h13 y44 ff3 fs2 fc0 sc0 ls3 ws0">tection <span class="_ _a"></span><span class="ls25">methods <span class="_ _0"></span>including <span class="_ _0"></span>those <span class="_ _a"></span></span>based <span class="_ _a"></span><span class="ls1a">on <span class="_ _a"></span><span class="ls25">sphere <span class="_ _0"></span></span></span>decoding. <span class="_ _a"></span><span class="ls25">In </span></div><div class="t m70 x9e h22 y45 ff2 fs1 fc0 sc0 ls5e ws0">this </div><div class="t m2 xa1 h13 y45 ff3 fs2 fc0 sc0 ls25 ws0">work, <span class="_ _4"></span><span class="ls3">we <span class="_ _d"></span>investigate <span class="_ _4"></span><span class="ls25">the <span class="ls3">appIication </span></span></span></div><div class="t m26 xa2 h6 y45 ff1 fs4 fc0 sc0 ls5f ws0">of </div><div class="t m0 xa3 h35 y45 ff3 fs0 fc0 sc0 ls60 ws0">MCMC </div><div class="t m2 xa4 h13 y45 ff3 fs2 fc0 sc0 ls3 ws0">detection <span class="_ _d"></span>in </div><div class="t m71 x9e h43 y46 ff3 fs1 fc0 sc0 ls5e ws0">the </div><div class="t m72 x21 h31 y46 ff3 fs14 fc0 sc0 ls3 ws0">design </div><div class="t m55 xa5 h13 y46 ff3 fs2 fc0 sc0 ls61 ws0">of </div><div class="t m2 xa6 h13 y46 ff3 fs2 fc0 sc0 ls25 ws0">capacity-approaching <span class="_ _4"></span><span class="ls1a">LDPC <span class="_ _d"></span><span class="ls25">codes. <span class="_ _0"></span><span class="ls62">We <span class="_ _5"> </span></span>optimize </span></span></div><div class="t m2 x9e h13 y47 ff3 fs2 fc0 sc0 ls25 ws0">the <span class="_ _5"> </span><span class="ls3">irregular </span></div><div class="t m73 x1d h3e y48 ff3 fs1e fc0 sc0 ls63 ws0">LDPC </div><div class="t m2 xa7 h13 y48 ff3 fs2 fc0 sc0 ls1a ws0">code <span class="_ _5"></span><span class="ls25">to <span class="_ _9"> </span>match <span class="_ _5"> </span>the <span class="_"> </span>characteristics <span class="_ _a"></span><span class="ls3">of <span class="_"> </span>the </span></span></div><div class="t m2 x9e h13 y49 ff3 fs2 fc0 sc0 ls1a ws0">MCMC <span class="_ _9"> </span><span class="ls25">detector <span class="_ _5"> </span><span class="ls3">based </span></span></div><div class="t m3e xa8 h11 y15 ff3 fsd fc0 sc0 ls64 ws0">on </div><div class="t m2 xa9 h13 y15 ff3 fs2 fc0 sc0 ls4a ws0">the <span class="_ _5"> </span><span class="ls25">extrinsic <span class="_ _9"> </span>information <span class="_ _5"> </span>transfer </span></div><div class="t m74 x9e h3e y4a ff3 fs1e fc0 sc0 ls3 ws0">(EXIT) </div><div class="t m2 xaa h13 y4a ff3 fs2 fc0 sc0 ls25 ws0">methods </div><div class="t m75 xab h3f y4a ff6 fsd fc0 sc0 ls65 ws0">[IO], </div><div class="t m76 xac h41 y4a ff3 fs1c fc0 sc0 ls66 ws0">1121. </div><div class="t m67 xa9 h35 y4a ff3 fs0 fc0 sc0 ls3 ws0">Our </div><div class="t m2 xad h13 y4a ff3 fs2 fc0 sc0 ls3 ws0">results <span class="_ _5"> </span><span class="ls25">show <span class="_ _1"></span>that <span class="_ _1"></span>the <span class="_ _1"></span><span class="ls1a">MCMC </span></span></div><div class="t m4 x9e h3c y4b ff2 fs0 fc0 sc0 ls67 ws0">approach </div><div class="t m2 xae h13 y4b ff3 fs2 fc0 sc0 ls3 ws0">leads </div><div class="t m5 x9 h41 y4b ff3 fs1c fc0 sc0 ls68 ws0">to </div><div class="t m2 xaf h13 y4b ff3 fs2 fc0 sc0 ls3 ws0">feasible <span class="_ _0"></span><span class="ls25">design <span class="_ _0"></span></span>of <span class="_ _a"></span><span class="ls25">channel <span class="_ _0"></span>codes <span class="_ _d"></span><span class="ls1e">that <span class="_"> </span></span>indeed </span></div><div class="t m77 x9e h35 y4c ff3 fs0 fc0 sc0 ls3 ws0">perform </div><div class="t m2 xb0 h13 y4c ff3 fs2 fc0 sc0 ls1e ws0">very <span class="_ _5"></span><span class="ls25">close </span></div><div class="t m5 xb1 h43 y4c ff3 fs1 fc0 sc0 ls1 ws0">to </div><div class="t m2 xb2 h13 y4c ff3 fs2 fc0 sc0 ls25 ws0">the <span class="_ _0"></span>capacity <span class="_ _0"></span><span class="ls2">limit. <span class="_ _5"> </span></span>Compared to <span class="_ _1"></span>the <span class="_ _0"></span><span class="ls3">best </span></div><div class="t m2 x9e h13 y4d ff3 fs2 fc0 sc0 ls3 ws0">published <span class="_ _5"> </span>results </div><div class="t m78 xa0 h44 y4e ff4 fs16 fc0 sc0 ls3 ws0">[ </div><div class="t m2 xb3 h13 y4e ff3 fs2 fc0 sc0 ls62 ws0">131, <span class="_ _0"></span><span class="ls3">we <span class="_ _5"></span><span class="ls1a">obtain </span></span></div><div class="t m79 xb4 h29 y4e ff1 fs15 fc0 sc0 ls3 ws0">a </div><div class="t m2 xb5 h13 y4e ff3 fs2 fc0 sc0 ls1a ws0">performance <span class="_ _d"></span><span class="ls25">improvement </span></div><div class="t m2 x9e h13 y4f ff3 fs2 fc0 sc0 ls3 ws0">of </div><div class="t m76 xb6 h41 y50 ff3 fs1c fc0 sc0 ls69 ws0">2.3 </div><div class="t m2 xb7 h13 y50 ff3 fs2 fc0 sc0 ls25 ws0">dB, <span class="_ _a"></span>where </div><div class="t m7a xb3 h41 y50 ff3 fs1c fc0 sc0 ls3 ws0">1.3 </div><div class="t m2 xb8 h13 y50 ff3 fs2 fc0 sc0 ls10 ws0">dB </div><div class="t m7b xb9 h3e y50 ff3 fs1e fc0 sc0 ls6a ws0">is </div><div class="t m2 xba h13 y50 ff3 fs2 fc0 sc0 lsf ws0">due </div><div class="t m5 xbb h41 y50 ff3 fs1c fc0 sc0 ls68 ws0">to </div><div class="t m2 xbc h13 y50 ff3 fs2 fc0 sc0 ls1e ws0">the </div><div class="t m7a xbd h41 y50 ff3 fs1c fc0 sc0 ls3 ws0">MCMC </div><div class="t m2 xbe h13 y50 ff3 fs2 fc0 sc0 ls3 ws0">detection </div><div class="t m67 xbf h35 y50 ff3 fs0 fc0 sc0 ls3 ws0">and </div><div class="t m7c xc0 h13 y51 ff3 fs2 fc0 sc0 ls3 ws0">1 </div><div class="t m2 xc1 h13 y51 ff3 fs2 fc0 sc0 ls25 ws0">dB </div><div class="t m40 xc2 h2c y51 ff7 fs2 fc0 sc0 ls1f ws0">is </div><div class="t m2 xc3 h13 y51 ff3 fs2 fc0 sc0 ls12 ws0">due </div><div class="t m7d xa6 h45 y51 ff1 fs20 fc0 sc0 ls6b ws0">LO </div><div class="t m7 xc4 h39 y51 ff3 fs3 fc0 sc0 ls4 ws0">LDPC </div><div class="t m2 xc5 h13 y51 ff3 fs2 fc0 sc0 ls1a ws0">code <span class="_ _5"> </span><span class="ls25">optimization. </span></div><div class="t m8 xc6 h46 y51 ff3 fs5 fc0 sc0 ls6c ws0">This </div><div class="t m2 xc7 h13 y51 ff3 fs2 fc0 sc0 ls25 ws0">demonstrates </div><div class="t m2 x9e h13 y52 ff3 fs2 fc0 sc0 ls12 ws0">the <span class="_ _4"></span><span class="ls25">efiectiveness <span class="_ _c"></span><span class="ls3">of <span class="ls25">joint <span class="_ _a"></span>code design <span class="_ _d"></span>and <span class="_ _d"></span><span class="ls1a">MCMC <span class="_ _4"></span><span class="ls25">detection </span></span></span></span></span></div><div class="t m1e xc8 h1a y53 ff2 fs13 fc0 sc0 ls6d ws0">fur </div><div class="t m76 x9e h41 y54 ff3 fs1c fc0 sc0 ls6e ws0">MIMO </div><div class="t m2 xc9 h13 y54 ff3 fs2 fc0 sc0 ls25 ws0">channels. </div><div class="t m7e xa7 h47 y55 ff4 fs19 fc0 sc0 ls6f ws0">11. </div><div class="t m7f xca h48 y55 ff3 fs1b fc0 sc0 ls3d ws0">SYSTEM </div><div class="t m74 xcb h48 y55 ff3 fs1b fc0 sc0 ls70 ws0">MODEL </div><div class="t m2 xc1 h13 y56 ff3 fs2 fc0 sc0 ls71 ws0">We <span class="_ _a"></span><span class="ls25">consider </span></div><div class="t m30 x9 h23 y56 ff3 fs16 fc0 sc0 ls3 ws0">a </div><div class="t m77 xcc h35 y56 ff3 fs0 fc0 sc0 ls0 ws0">MIMO </div><div class="t m2 xcd h13 y56 ff3 fs2 fc0 sc0 ls3 ws0">channel <span class="_ _a"></span>with </div><div class="t m80 xce h49 y56 ff8 fs13 fc0 sc0 ls3 ws0">t </div><div class="t m2 xcf h13 y56 ff3 fs2 fc0 sc0 ls3 ws0">transmit <span class="_ _a"></span><span class="ls2">and </span></div><div class="t m56 xd0 h4a y56 ff5 fsc fc0 sc0 ls3 ws0">r </div><div class="t m2 xd1 h13 y56 ff3 fs2 fc0 sc0 ls25 ws0">receive </div><div class="t m2 xc0 h13 y57 ff3 fs2 fc0 sc0 ls3 ws0">antennas. <span class="_ _0"></span><span class="ls1a">The <span class="_ _d"></span><span class="ls25">channel <span class="_ _0"></span>model </span></span></div><div class="t m67 xd2 h35 y58 ff3 fs0 fc0 sc0 ls3 ws0">is </div><div class="t m2 xd3 h13 y58 ff3 fs2 fc0 sc0 ls3 ws0">given </div><div class="t m57 xd4 h13 y58 ff3 fs2 fc0 sc0 ls2 ws0">by </div><div class="t m81 xd5 h4b y58 ff4 fs4 fc0 sc0 ls3 ws0">: </div><div class="t m82 xd6 h1a y59 ff2 fs13 fc0 sc0 ls72 ws0">Y=@D+N, </div><div class="t m83 xc8 h3 y59 ff1 fs1 fc0 sc0 ls73 ws0">(1 </div><div class="t m84 xd7 h4c y59 ff3 fs21 fc0 sc0 ls3 ws0">1 </div><div class="t m2 xc0 h13 y5a ff3 fs2 fc0 sc0 ls25 ws0">where </div><div class="t m85 xb7 h15 y5a ff2 fs10 fc0 sc0 ls3 ws0">D </div><div class="t m86 xd8 h4d y5a ff1 fs17 fc0 sc0 ls3 ws0">E </div><div class="t m87 x8 h4e y5a ff4 fs18 fc0 sc0 ls74 ws0">@t, </div><div class="t m5 xab h4f y5a ff2 fs11 fc0 sc0 ls3 ws0">Y </div><div class="t m88 xd9 h43 y5a ff3 fs1 fc0 sc0 ls3 ws0">E </div><div class="t m89 xda h50 y5a ff4 fs13 fc0 sc0 ls75 ws0">C, </div><div class="t m2 xdb h13 y5a ff3 fs2 fc0 sc0 ls25 ws0">and </div><div class="t m8a xdc h51 y5a ff2 fs12 fc0 sc0 ls3 ws0">N </div><div class="t m8b xdd h52 y5a ff4 fs15 fc0 sc0 ls3 ws0">E </div><div class="t m8c xde h53 y5a ff9 fs1c fc0 sc0 ls76 ws0">CY </div><div class="t m8d xd5 h12 y5a ff3 fse fc0 sc0 ls77 ws0">are </div><div class="t m2 xdf h13 y5a ff3 fs2 fc0 sc0 ls25 ws0">complex <span class="_ _1"></span><span class="ls1a">column </span></div><div class="t m2 xc0 h13 y5b ff3 fs2 fc0 sc0 ls25 ws0">vectors <span class="_ _5"></span><span class="ls1e">that <span class="_ _6"> </span><span class="ls3">represent <span class="_"> </span><span class="ls12">the <span class="_ _1"></span></span>transmitted </span></span></div><div class="t m57 xe0 h13 y28 ff3 fs2 fc0 sc0 ls25 ws0">signal, </div><div class="t m2 xe1 h13 y28 ff3 fs2 fc0 sc0 ls3 ws0">received <span class="_"> </span>signal, </div><div class="t m2 xc0 h13 y5c ff3 fs2 fc0 sc0 ls25 ws0">and </div><div class="t m8e x2a h16 y5d ff3 fs11 fc0 sc0 ls3 ws0">channel </div><div class="t m2 x22 h13 y5d ff3 fs2 fc0 sc0 ls25 ws0">noise <span class="ls3">respectively: </span></div><div class="t m19 xe2 h4f y5d ff2 fs11 fc0 sc0 ls3 ws0">H </div><div class="t m8f xe3 h34 y5d ff3 fs13 fc0 sc0 ls5d ws0">is </div><div class="t m2 xe4 h13 y5d ff3 fs2 fc0 sc0 ls25 ws0">the </div><div class="t m90 xe5 h54 y5d ff7 fs22 fc0 sc0 ls3 ws0">T </div><div class="t m91 xe6 h3a y5d ff2 fs1e fc0 sc0 ls63 ws0">by </div><div class="t m92 xe7 h2a y5d ff7 fs3 fc0 sc0 ls3 ws0">f </div><div class="t m2 xe8 h13 y5d ff3 fs2 fc0 sc0 ls3 ws0">channel <span class="_ _1"></span><span class="ls25">fading </span></div><div class="t m93 xc0 h3b y2a ff2 fs2 fc0 sc0 ls71 ws0">matrix </div><div class="t m2 xb7 h13 y2a ff3 fs2 fc0 sc0 ls1e ws0">with </div><div class="t m8 xe9 h46 y2a ff3 fs5 fc0 sc0 ls3 ws0">i.i.d. </div><div class="t m2 xc4 h13 y2a ff3 fs2 fc0 sc0 ls25 ws0">Rayleigh <span class="_ _4"></span>fading <span class="_ _f"></span>entries; <span class="_ _f"></span>the <span class="_ _4"></span>noise <span class="_ _4"></span><span class="ls3">vector </span></div><div class="t m94 xea h3e y2a ff3 fs1e fc0 sc0 ls3 ws0">N </div><div class="t m2 xeb h13 y2a ff3 fs2 fc0 sc0 ls25 ws0">has </div><div class="t m2 xc0 h13 y5e ff3 fs2 fc0 sc0 ls2 ws0">i.i.d. <span class="_ _a"></span><span class="ls25">complex <span class="_ _d"></span></span>Gaussian <span class="_ _5"> </span><span class="ls25">entries <span class="_ _a"></span><span class="ls3">with <span class="_ _0"></span></span>variance </span></div><div class="t m65 xec h13 y5f ff3 fs2 fc0 sc0 ls71 ws0">of </div><div class="t m2 xed h13 y5f ff3 fs2 fc0 sc0 ls3 ws0">unity; </div><div class="t m95 xee h55 y5f ff5 fs1 fc0 sc0 ls3 ws0">p </div><div class="t m2 xef h13 y5f ff3 fs2 fc0 sc0 ls3 ws0">is <span class="_ _a"></span>the </div><div class="t m2 xc0 h13 y60 ff3 fs2 fc0 sc0 ls3 ws0">signal-to-noise <span class="_ _d"></span>ratio <span class="ls25">per </span>receive <span class="ls25">antenna. Throughout <span class="_ _f"></span><span class="ls3">this <span class="ls25">paper, </span></span></span></div><div class="t m2 xc0 h13 y61 ff3 fs2 fc0 sc0 ls3 ws0">we </div><div class="t m0 x21 h35 y62 ff3 fs0 fc0 sc0 ls60 ws0">use </div><div class="t m2 xaa h13 y62 ff3 fs2 fc0 sc0 ls3 ws0">capital <span class="_ _a"></span>letters <span class="_ _a"></span><span class="ls25">to <span class="_ _0"></span>represent <span class="_ _0"></span>random <span class="_ _1"></span>variables <span class="_ _d"></span>and <span class="_ _1"></span>lower </span></div><div class="t m2 xc0 h13 y63 ff3 fs2 fc0 sc0 ls1a ws0">case <span class="_ _1"></span><span class="ls3">letters <span class="_ _9"> </span><span class="ls25">to <span class="_ _a"></span></span>represent <span class="_"> </span><span class="ls25">realizations </span></span></div><div class="t m4c xf0 h34 y64 ff3 fs13 fc0 sc0 ls42 ws0">of </div><div class="t m2 xf1 h13 y64 ff3 fs2 fc0 sc0 ls25 ws0">the <span class="_ _a"></span>random <span class="_ _9"> </span><span class="ls3">variables. </span></div><div class="t m2 xc0 h13 y65 ff3 fs2 fc0 sc0 ls71 ws0">We </div><div class="t m96 xa1 h31 y66 ff3 fs14 fc0 sc0 ls40 ws0">also </div><div class="t m2 xc3 h13 y66 ff3 fs2 fc0 sc0 ls25 ws0">use </div><div class="t m5 x8 h39 y66 ff3 fs3 fc0 sc0 ls3 ws0">bold </div><div class="t m97 xaf h43 y66 ff3 fs1 fc0 sc0 ls3 ws0">letters </div><div class="t m2 xca h13 y66 ff3 fs2 fc0 sc0 lsf ws0">to <span class="ls25">represent vectors <span class="_ _d"></span><span class="ls2">and <span class="_ _9"> </span><span class="ls3">matrices. </span></span></span></div><div class="t m2 xf2 h13 y67 ff3 fs2 fc0 sc0 ls25 ws0">Figure </div><div class="t m98 xd8 h3e y68 ff3 fs1e fc0 sc0 ls3 ws0">1 </div><div class="t m4 xf3 h35 y68 ff3 fs0 fc0 sc0 ls60 ws0">shows </div><div class="t m2 xb1 h13 y68 ff3 fs2 fc0 sc0 ls3 ws0">a <span class="_ _9"> </span><span class="ls25">schematic <span class="_ _a"></span>block <span class="_ _9"> </span>diagram </span></div><div class="t m65 xf4 h13 y68 ff3 fs2 fc0 sc0 ls3 ws0">of </div><div class="t m99 xf5 h22 y68 ff2 fs1 fc0 sc0 ls3 ws0">the </div><div class="t m9a xd1 h3c y68 ff2 fs0 fc0 sc0 ls0 ws0">MIMO </div><div class="t m2 xf6 h13 y69 ff3 fs2 fc0 sc0 ls25 ws0">system. </div><div class="t m9b xaa h31 y69 ff3 fs14 fc0 sc0 ls78 ws0">The </div><div class="t m2 xf3 h13 y69 ff3 fs2 fc0 sc0 ls3 ws0">channel <span class="ls25">encoder <span class="_ _f"></span><span class="ls1a">encodes </span></span></div><div class="t m9c xe4 h12 y69 ff3 fse fc0 sc0 ls3 ws0">a </div><div class="t m2 xf7 h13 y69 ff3 fs2 fc0 sc0 ls25 ws0">sequence <span class="_ _f"></span><span class="ls1e">of <span class="_ _0"></span><span class="ls25">information </span></span></div><div class="t m96 xc0 h20 y6a ff2 fs14 fc0 sc0 ls3 ws0">bits </div><div class="t m9d xf8 h19 y6a ff2 fse fc0 sc0 ls3 ws0">b </div><div class="t m2 xaa h13 y6a ff3 fs2 fc0 sc0 ls25 ws0">into <span class="_"> </span><span class="ls3">a <span class="_ _7"> </span></span>sequence </div><div class="t m9e xa h12 y6a ff3 fse fc0 sc0 ls77 ws0">of </div><div class="t m2 xf9 h13 y6a ff3 fs2 fc0 sc0 ls25 ws0">coded <span class="_"> </span><span class="ls2">bits. </span></div><div class="t m5 xfa h41 y6a ff3 fs1c fc0 sc0 ls3 ws0">The </div><div class="t m2 xe1 h13 y6a ff3 fs2 fc0 sc0 ls25 ws0">resulting <span class="_"> </span>coded </div><div class="t m2 xc0 h13 y6b ff3 fs2 fc0 sc0 ls25 ws0">sequence <span class="_ _d"></span><span class="ls3">is <span class="_ _a"></span>interleaved <span class="_ _a"></span><span class="ls71">by </span></span></div><div class="t m9f xfb h13 y6c ff3 fs2 fc0 sc0 ls3 ws0">a </div><div class="t m2 xfc h13 y6c ff3 fs2 fc0 sc0 ls25 ws0">random <span class="_ _0"></span>permutation <span class="_ _1"></span>indicated </div><div class="t m52 xfd h35 y6c ff3 fs0 fc0 sc0 ls49 ws0">by </div><div class="t ma0 xc0 h56 y6d ff7 fs23 fc0 sc0 ls79 ws0">71 </div><div class="t m2 xf2 h13 y6d ff3 fs2 fc0 sc0 ls1a ws0">and <span class="_ _1"></span><span class="ls3">then <span class="_ _5"> </span><span class="ls25">mapped <span class="_ _a"></span>to </span></span></div><div class="t ma1 xc5 h13 y6d ff3 fs2 fc0 sc0 ls3 ws0">a </div><div class="t m2 xfe h13 y6d ff3 fs2 fc0 sc0 ls1a ws0">sequence <span class="_ _0"></span><span class="ls3">of </span></div><div class="t m93 xf7 h3b y6d ff2 fs2 fc0 sc0 ls3 ws0">QAM </div><div class="t ma2 xec h3c y6d ff2 fs0 fc0 sc0 ls3 ws0">symbols </div><div class="t m94 xee h3a y6d ff2 fs1e fc0 sc0 ls3 ws0">d </div><div class="t m2 xff h13 y6d ff3 fs2 fc0 sc0 ls25 ws0">using </div><div class="t m2 xc0 h13 y6e ff3 fs2 fc0 sc0 ls25 ws0">Gray <span class="_"> </span><span class="ls2">mapping. </span></div><div class="t ma3 x100 h28 y6e ff1 fs18 fc0 sc0 ls7a ws0">The </div><div class="t m2 x101 h13 y6e ff3 fs2 fc0 sc0 ls25 ws0">sequence </div><div class="t m55 xe2 h2c y6e ff6 fs2 fc0 sc0 ls3 ws0">d </div><div class="t ma4 x102 h22 y6e ff2 fs1 fc0 sc0 ls1 ws0">is </div><div class="t m2 xe4 h13 y6e ff3 fs2 fc0 sc0 ls25 ws0">then <span class="_"> </span><span class="ls3">divided <span class="_"> </span></span>into </div><div class="t m9f x103 h3b y6e ff2 fs2 fc0 sc0 ls2 ws0">blocks </div><div class="t m63 xc0 h13 y6f ff3 fs2 fc0 sc0 ls7b ws0">of </div><div class="t ma5 x104 h57 y6f ff5 fs12 fc0 sc0 ls3 ws0">t </div><div class="t m2 x105 h13 y6f ff3 fs2 fc0 sc0 ls25 ws0">symbols <span class="_ _a"></span><span class="ls1a">and <span class="_ _9"> </span></span>sent <span class="_ _5"> </span>through </div><div class="t m34 x106 h32 y6f ff9 fs19 fc0 sc0 ls3 ws0">t </div><div class="t m2 xdd h13 y6f ff3 fs2 fc0 sc0 ls3 ws0">transmit <span class="_"> </span><span class="ls25">antennas <span class="_ _5"> </span><span class="ls1a">over <span class="_ _5"> </span></span></span>the </div><div class="t ma6 xc0 h41 y70 ff3 fs1c fc0 sc0 ls3 ws0">MIMO </div><div class="t m2 xaa h13 y70 ff3 fs2 fc0 sc0 ls25 ws0">fading <span class="_ _1"></span>channel. <span class="_ _0"></span><span class="ls1e">At </span></div><div class="t m4 x107 h3c y70 ff2 fs0 fc0 sc0 ls49 ws0">the </div><div class="t m2 xe2 h13 y70 ff3 fs2 fc0 sc0 ls3 ws0">receiver <span class="_ _5"> </span><span class="ls25">end, <span class="_ _a"></span><span class="ls4a">for <span class="_ _d"></span></span>each <span class="_ _5"></span><span class="ls2">set </span></span></div><div class="t m66 x108 h32 y70 ff3 fs4 fc0 sc0 ls7c ws0">of </div><div class="t ma7 xd7 h58 y70 ff4 fs1d fc0 sc0 ls3 ws0">r </div><div class="t m2 xc0 h13 y71 ff3 fs2 fc0 sc0 ls3 ws0">received </div><div class="t m65 xc3 h13 y71 ff3 fs2 fc0 sc0 ls3 ws0">signal </div><div class="t m2 x9 h13 y71 ff3 fs2 fc0 sc0 ls25 ws0">samples <span class="_ _4"></span>from <span class="_ _4"></span><span class="ls4a">the </span></div><div class="t m63 xad h59 y71 ffa fs24 fc0 sc0 ls3 ws0">T </div><div class="t m2 xe3 h13 y71 ff3 fs2 fc0 sc0 ls3 ws0">receive <span class="_ _0"></span><span class="ls25">antennas, <span class="_ _f"></span>the <span class="ls12">MIMO </span></span></div><div class="t m2 xc0 h13 y72 ff3 fs2 fc0 sc0 ls25 ws0">detector <span class="ls1a">computes </span></div><div class="t m5 xb3 h5a y73 ffa fs17 fc0 sc0 ls3 ws0">a </div><div class="t m4 xd9 h5b y73 ff5 fs0 fc0 sc0 ls7d ws0">posteriori </div><div class="t m2 x109 h13 y73 ff3 fs2 fc0 sc0 ls25 ws0">probabilities </div><div class="t m5 xc6 h35 y73 ff3 fs0 fc0 sc0 ls0 ws0">(APPs) </div><div class="t ma8 xf5 h41 y73 ff3 fs1c fc0 sc0 ls7e ws0">of </div><div class="t m2 x10a h13 y73 ff3 fs2 fc0 sc0 ls3 ws0">the <span class="ls1a">input </span></div><a class="l" rel='nofollow' onclick='return false;'><div class="d ma9"></div></a><a class="l" rel='nofollow' onclick='return false;'><div class="d ma9"></div></a><a class="l" rel='nofollow' onclick='return false;'><div class="d ma9"></div></a></div><div class="pi" data-data='{"ctm":[1.568627,0.000000,0.000000,1.568627,0.000000,0.000000]}'></div></div> 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