📄 cal_and_plot_acf_and_spec7.m
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% cal_and_plot_acf_and_spec7.m - Written by Eli Mozeson and Nadav Levanon% plot corrrelation function and spectrum of a signal defined by% u(t), t, and F (maximal Dopper normalized by signal length)% calcualte normalized ACFacfun=20*log10(abs(xcorr(u))+eps);acfun=acfun-max(acfun);acfun1=acfun;acfun=max(acfun,-70);acfun=acfun(1:(length(acfun)+1)/2);acfun=fliplr(acfun);scalet=[0:length(acfun)-1]/(length(acfun)-1)*t(length(t));% calcualte spectrumfftlength=max(1024*8,length(u)*32);spec=20*log10(max(abs(fft(u,fftlength)),eps));spec=spec-max(spec);spec=max(spec,-60);spec=spec(1:fftlength/2);scales=[0:fftlength/2-1]/(fftlength/2-1)*r/2;% calcualte normalized PACFzeru=zeros(size(u));pacfun=20*log10(abs(xcorr([u u u],[zeru u zeru]))+eps);clear zeru;pacfun=pacfun-max(pacfun);pacfun=max(pacfun,-70);pacfun=pacfun(3*length(u):4*length(u)-1);figure(acffig);set(acffig,'Visible','on');subplot(311);plot(scalet,acfun,'k');xlabel('{\it\tau}/\itt_b');ylabel('Autocorrelation [dB]');title(titlest);axis([0 max(scalet) -70 0]);subplot(312);plot(scalet,pacfun,'k');xlabel('{\it\tau}/\itt_b');ylabel('Periodic Autocorrelation [dB]');axis([0 max(scalet) -70 0]);subplot(313);plot(scales*length(u)/r,spec,'k');xlabel('{\itf*Mt_b}');ylabel('|{\itS}({\itf})|');axis([0 F -60 0]);
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