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<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/6268b4f84f8811599e1782ad/bg1.jpg"><div class="c x0 y1 w2 h2"><div class="t m0 x1 h3 y2 ff1 fs0 fc0 sc0 ls0 ws0">班级:信研<span class="ff2 sc1">0701 </span>姓名:李海霞<span class="ff2 sc1"> </span>学号:</div><div class="t m0 x1 h4 y3 ff2 fs0 fc0 sc1 ls0 ws0">2007000669 </div><div class="t m0 x2 h3 y4 ff1 fs0 fc0 sc0 ls0 ws0">作业<span class="ff2 sc1">2</span>:产生白噪声和<span class="ff2 sc1">M</span>序列</div><div class="t m0 x1 h3 y5 ff2 fs0 fc0 sc1 ls0 ws0">1.<span class="_ _0"> </span><span class="ff1 sc0">程序说明:</span></div><div class="t m0 x3 h3 y6 ff1 fs0 fc0 sc1 ls0 ws0">本程序用<span class="ff3">MATLAB</span>语言编写<span class="ff3">.</span>程序运行完成可以显示白噪声图形和白噪声信</div><div class="t m0 x3 h3 y7 ff1 fs0 fc0 sc1 ls0 ws0">号数据,数据保存在’白噪声序列<span class="ff3">.txt’</span>文件中。</div><div class="t m0 x1 h5 y8 ff3 fs1 fc0 sc1 ls0 ws0"> </div><div class="t m0 x1 h3 y9 ff4 fs0 fc0 sc1 ls0 ws0">2. <span class="ff1 sc0">程序代码:</span></div><div class="t m0 x1 h6 ya ff5 fs0 fc1 sc1 ls0 ws0">global<span class="fc0"> M f d n P</span></div><div class="t m0 x1 h6 yb ff5 fs0 fc0 sc1 ls0 ws0">e=zeros(1,1001);</div><div class="t m0 x1 h6 yc ff5 fs0 fc0 sc1 ls0 ws0">u=zeros(1,1000);</div><div class="t m0 x1 h6 yd ff5 fs0 fc0 sc1 ls0 ws0">c=zeros(1,1000);</div><div class="t m0 x1 h6 ye ff5 fs0 fc0 sc1 ls0 ws0">A=179;</div><div class="t m0 x1 h6 yf ff5 fs0 fc0 sc1 ls0 ws0">P=3.1415926;</div><div class="t m0 x1 h6 y10 ff5 fs0 fc0 sc1 ls0 ws0">M=2^35;</div><div class="t m0 x1 h3 y11 ff5 fs0 fc0 sc1 ls0 ws0">x=11; <span class="fc2">%<span class="ff1">初值</span>x<span class="ff1">取正奇数</span></span></div><div class="t m0 x1 h3 y12 ff5 fs0 fc0 sc1 ls0 ws0">e(1)=x/M;<span class="fc2">%<span class="ff1">伪随机序列是</span>e(i)=x(i)/M<span class="ff1">,其中</span>x(i)=A*x(i)+k*M<span class="_ _1"></span><span class="ff1">。两边同除一个</span>M<span class="ff1">。</span></span></div><div class="t m0 x4 h3 y13 ff1 fs0 fc2 sc1 ls0 ws0">根据同余式定理得到<span class="ff5">e(i)=A*e(i)+k*e(i)</span></div><div class="t m0 x1 h3 y14 ff5 fs0 fc0 sc1 ls0 ws0">f=0; <span class="fc2">%<span class="ff1">白噪声的均值</span></span></div><div class="t m0 x1 h3 y15 ff5 fs0 fc0 sc1 ls0 ws0">d=0.1; <span class="fc2">%<span class="ff1">白噪声的方差</span></span></div><div class="t m0 x1 h3 y16 ff5 fs0 fc0 sc1 ls0 ws0">n=600; <span class="fc2">%<span class="ff1">白噪声的序列长度:</span>( <span class="ff1">在</span>1<span class="ff1">到</span>1000<span class="ff1">之间</span>)</span></div><div class="t m0 x1 h6 y17 ff5 fs0 fc2 sc1 ls0 ws0"> </div><div class="t m0 x1 h3 y18 ff5 fs0 fc0 sc1 ls0 ws0">fid = fopen(<span class="fc3">'<span class="ff1">白噪声序列</span>.txt'</span>,<span class="fc3">'wt'</span>); <span class="fc2">%<span class="ff1">产生一个空白文件,用于存放数据</span>.</span></div><div class="t m0 x1 h6 y19 ff5 fs0 fc0 sc1 ls0 ws0"> </div><div class="t m0 x1 h6 y1a ff5 fs0 fc1 sc1 ls0 ws0">for<span class="fc0"> i=2:n+1</span></div><div class="t m0 x1 h3 y1b ff5 fs0 fc0 sc1 ls0 ws0"> e(i)=A*e(i-1)-fix(A*e(i-1)); <span class="fc2">%round<span class="ff1">是四舍五入到最近的整数</span>,</span></div><div class="t m0 x1 h6 y1c ff5 fs0 fc1 sc1 ls0 ws0">end<span class="fc0"> </span></div><div class="t m0 x1 h6 y1d ff5 fs0 fc0 sc1 ls0 ws0"> </div><div class="t m0 x1 h3 y1e ff5 fs0 fc1 sc1 ls0 ws0">for<span class="fc0"> a=1:n <span class="fc2">%<span class="ff1">均匀分布的白噪声,用变换抽样法转换为正态分布的白噪声</span></span></span></div><div class="t m0 x1 h6 y1f ff5 fs0 fc0 sc1 ls0 ws0"> u(a)=sqrt((-2)*(log(e(a))))*cos(2*P*e(a+1)); </div><div class="t m0 x1 h6 y20 ff5 fs0 fc0 sc1 ls0 ws0"> c(a)=f+d*u(a);</div><div class="t m0 x1 h3 y21 ff5 fs0 fc0 sc1 ls0 ws0"> fprintf(fid,<span class="fc3">' %d'</span>,c(a)); <span class="fc2">%<span class="ff1">写入白噪声</span></span></div><div class="t m0 x1 h6 y22 ff5 fs0 fc1 sc1 ls0 ws0">end</div><div class="t m0 x1 h6 y23 ff5 fs0 fc1 sc1 ls0 ws0"> </div><div class="t m0 x1 h6 y24 ff5 fs0 fc0 sc1 ls0 ws0">fclose(fid);</div><div class="t m0 x1 h6 y25 ff5 fs0 fc0 sc1 ls0 ws0">a=1:n</div><div class="t m0 x1 h3 y26 ff5 fs0 fc0 sc1 ls0 ws0">plot(a,c(a)); <span class="fc2">%<span class="ff1">输出白噪声图形</span></span></div><div class="t m0 x1 h6 y27 ff5 fs0 fc0 sc1 ls0 ws0">xlabel(<span class="fc3">'a'</span>) </div><div class="t m0 x1 h3 y28 ff5 fs0 fc0 sc1 ls0 ws0">ylabel(<span class="fc3">'<span class="ff1">白噪声信号</span>'</span>) </div><div class="t m0 x1 h3 y29 ff5 fs0 fc0 sc1 ls0 ws0">title(<span class="fc3">'<span class="ff1">正态分布白噪声</span>'</span>)</div><div class="t m0 x1 h7 y2a ff5 fs0 fc0 sc1 ls0 ws0"> <span class="ff3"> </span></div><div class="t m0 x1 h3 y2b ff4 fs0 fc0 sc1 ls0 ws0">3. <span class="ff1 sc0">程序运行结果:</span></div><div class="t m0 x1 h8 y2c ff3 fs1 fc0 sc1 ls0 ws0">3.1 <span class="ff1">产生白噪声图形:</span></div></div></div><div class="pi" data-data='{"ctm":[1.611850,0.000000,0.000000,1.611850,0.000000,0.000000]}'></div></div>
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