**Unformatted text preview: **Solution: For b) 1) 2) For N=8, X(k)’s are: X(k) =8/(2j) [d(k-1)-d(k-7)] = [0, 4/j, 0,0,0,0,0,-4/j] |X(k)|=[0,4,0,0,0,0,0,4] 3) There are 2 peaks on the magnitude plot. However, the 2 nd peak at k=7 is redundant to the 1 st peak at k=1 given that the signal is a real-valued signal and its DFT satisfies the conjugate symmetric property. This is a one-sided spectrum. 4) Yes, the spectrum is consistent with the time-domain signal. The signal is a single tone sinusoidal and we observe a single component from the plot in (2). Note that the spectrum plot in (2) is a one-sided plot so there are 2 peaks (the 2 nd is redundant to the 1 st one). The spectrum actually corresponds to one single peak at k=1, i.e., one frequency component....

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- Fall '16
- Digital Signal Processing, Signal Processing, 2J, Discrete Systems