📄 demo6.m
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% uses setup from demo0disp('Constant cosine-waves - extended window with zero padding')disp('Generate time and frequency steps')Ts=Tp/(N)fs=1/Tsf=linspace(0,fs*(N-1)/N,N);fx=linspace(0,fs*(NX-1)/NX,NX);disp('Generate time steps for one period (t)');t=linspace(0,Tp*(N-1)/N,N);tx=linspace(0,NX/N*Tp*(NX-1)/NX,NX);disp('Generate time sequence (x) and plot it against time (t)')x=ones(1,size(f0,2))*(cos(2*pi*f0'*t));x=[x,zeros(1,NX-N)];plot(tx,x)
title('Cosine waves extended (padded) with zeros')xlabel('Time')input('Any key to continue')disp('Generate DFT (X) of time series (x) and Compare with Fourier transform of continous data');XD=2*Ts*fft(x);XD(1)=0.5*XD(1);semilogy(fx/fs,abs(XD),'-',f0/fs,ones(1,size(f0,2)),'+')
title('Discrete Fourier Transform Spectra (Extending the time series)')xlabel('Frequency/fs')ylabel('abs(X)')
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