MATLAB: How to plot periodic signals

periodic signals

X(t) = t when 0<=t<1 and 0 otherwise, How can I plot X(t)

Best Answer

X = @(t) t .* (0 <= t & t < 1);
tvals = linspace(-10,10);
plot(tvals, X(tvals));

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MATLAB: Periodicity of a signal

Hi Tiago, You can definitely use a periodogram-based test to detect whether a periodicity is present or not.

Fisher's Kappa is not coded up per se in MATLAB, but it is easy enough.

   Fs = 1000;
   t = 0:1/Fs:1-1/Fs;
   x = cos(2*pi*100*t)+randn(size(t));
   [Pxx,Fxx] = periodogram(x,[],length(x),Fs);
   Y = max(Pxx);
   Fkappa = Y./mean(Pxx(2:end-1))

The critical values for Fisher's Kappa are documented many places.

You can also use the Kolmogorov-Smirnov (equivalent to Bartlett's test), which compares a normalized cumulative sum of the periodogram ordinates against the cumulative distribution of a uniform [0,1] random variable.

    F = cumsum(Pxx)./sum(Pxx);

MATLAB: How to find the Fourier transform X(ω)

fourier() works with symbolic inputs

syms t
x(t) = (t*exp(-3*t)*sin(8*t))*heaviside(t);
fourier(x)

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MATLAB: Periodicity of a signal

MATLAB: How to find the Fourier transform X(ω)

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