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Why the Discrete time fourier series coefficients of a real discrete time periodic signal are not symmetric about y axis?

I believe the OP is confused about the middle graphic showing the DFT after using a command similar to fftshift in MATLAB, Octave and Python scipy.signal, which ...
Dan Boschen's user avatar
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2 votes

Is the magnitude spectrum of the Discrete Time Fourier Series of a Discrete Time periodic Signal , an even Function?

Just to get this out of the way: The DFT of a time sequence $x[n]$ is defined as $$X[k] = \sum_{n=0}^{N-1}x[n]e^{-j2\pi\frac{kn}{N}} \tag{1}$$ For the negative frequencies we get $$X[-k] = \sum_{n=0}^{...
Hilmar's user avatar
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