I have tried to study about parseval theorem multiple times and what i am able to understand is that energy of time domain signal remains same when it is converted to frequency domain
Is my understanding correct??
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Sign up to join this communityIn the field of DSP, Parseval's theorem merely states that the sum of the magnitudes of $N$ $x[n]$ time samples squared equals $1/N$ times the sum of the magnitudes of $x[n]$'s spectral samples squared. That is, $$\sum_{n=0}^{N-1} {|x[n]|^2}= \frac{1}{N}\sum_{m=0}^{N-1} {|X[m]|^2}$$ We can show an example of this in Octave/MATLAB using:
x = [1 2 3 4 5];
Spec = fft(x);
Left_side = sum(x.^2)
Right_side = (1/5) * sum(abs(Spec).^2)