Question: Consider the discrete-time sequence 1, for 0 < n < 4; 0, elsewhere. 1) Sketch both the magnitude and phase responses of the corresponding

Consider the discrete-time sequence 1, for 0 < n < 4; 0, elsewhere. 1) Sketch both the magnitude and phase

Consider the discrete-time sequence 1, for 0 < n < 4; 0, elsewhere. 1) Sketch both the magnitude and phase responses of the corresponding DTFT X. Hint. You may want to express X using sinc functions. 2) Suppose yn denotes the DT sequence constructed by periodically extending with a period of N samples and then extracting one period of it. Find yy for each of the N -8 and N-3 cases. 3) For each of the N -8 and N= 3 cases, find the the N-point DFT YN of UN.

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