Applied Numerical Methods Using MATLAB. Won Y. Yang

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M‐files with the appropriate names, run the script to see the rectangular pulse, its CtFT spectrum, a sinc spectrum, and its ICtFT as shown in Figure P1.28. If it does not work, modify/supplement the functions so that you can rerun it to see the signals and their CtFT spectra.Figure P1.28 Graphs for Problem 1.28. (a1) A rectangular pulse function rD(t); (a2) the ICtFT of XB(ω); (b1) the CtFT spectrum of rD(t); and (b2) a sinc spectrum XB(ω).function Xw=<b>CtFT1</b><![CDATA[(x,Dt,w) % CtFT (Continuous-time Fourier Transform) x_ejkwt=inline([x '(t).*exp(-j*w*t)'],'t','w'); Xw=trpzds_par(x_ejkwt,-Dt,??,1000,?);function xt=<b>ICtFT1</b><![CDATA[(X,Bw,t) % ICtFT (Inverse Continuous-time Fourier Transform) Xejkwt=inline([X '(w).*exp(j*w*t)'],'w','t'); xt=trpzds_par(Xejkwt,-??,Bw,1000,?)/2/pi;%nm01p28.m : CtFT and ICtFT global B D % CtFT of A Rectangular Pulse Function t=[-50:50]/10; % Time vector w=[-60:60]/10*pi; % Frequency vector D=1; % Duration of a rectangular pulse rD(t) for k=1:length(w) Xw(k)=CtFT1('rDt',D*5,w(k)); end subplot(221), plot(t,rDt(t)); subplot(222), plot(w,abs(Xw)) % ICtFT of a Sinc Spectrum B=2*pi; % Bandwidth of a sinc spectrum sncB(w) for n=1:length(t) xt(n)=ICtFT1('sincBw',B*5,t(n)); end subplot(223), plot(t,real(xt)); subplot(224), plot(w,sincBw(w))function x=<b>rDt</b><![CDATA[(t) % Rectangular pulse function global D x=(-D/2<=t?t<=D/2);function X=<b>sincBw</b><![CDATA[(w) % Sinc function global B X=2*pi/?*sinc(?/B);

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