📄 demo4.m
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% uses setup from demo0disp('FFT of truncated Constant cosine-waves')disp('Generate time and frequency steps')Ts=Tp/(N)fs=1/Tsf=linspace(0,fs*(N-1)/N,N);disp('Generate time steps for one period (t)');t=linspace(0,Tp*(N-1)/N,N);disp('Generate time sequence (x) and plot it against time (t)')
disp('Frequencies:')
f0x=cos(2*pi*f0'*t);
x=ones(1,size(f0,2))*x;
plot(t,x)
title('Sum of Sine waves')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);plot(f/fs,abs(XD),'o',f0/fs,ones(1,size(f0,2)),'+')title('Discrete Fourier Transform Spectra (truncation effects)')xlabel('Frequency/fs')ylabel('abs(X)')
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