DFT Signal Systems

Does zero-padding of a signal and subjecting it to DFT fundamentally alter the DFT

(i.e. does zero-padding produce an altogether different DFT as compared to the DFT

of the original “unpadded” signal or does it just provide more interpolation points in

the discrete frequency domain (i.e. the k-domain)? Verify using the

MATLAB fft command

Define two discrete-time signals x[n] of length M and h[n] of length N, for two separate

cases: M=N and M≠N. For both cases, verify with MATLAB

whether the discrete-time convolution of these two signals is commutative

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Skills: MATLAB, Digital Signal Processing

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