Using the properties of DFT, compute and sketch the inverse DFT y[n], n = 0, 1, 2, 3 using time domain calculations only. (b) Repeat (a), but using 8-point DFTs of the same signals, sketching the inverse DFT y[n] 0, 1,, 7, again using time domain calculations only. = Problem 10.4 Consider the length 2 signal h[n] specified by h[0] = 1, h[1] = −1, with h[n] = 0 for all other values of n. (a) Let X [k] denote the 4-point DFT of the signal x[n] in Problem 10.1. Let H[k] denote the 4-point DFT of h[n]. Define Y[k] = X[k]H[k], k = 0,1,2,3

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Using the properties of DFT, compute and sketch the inverse DFT y[n], n = 0, 1, 2, 3 using time
domain calculations only.
(b) Repeat (a), but using 8-point DFTs of the same signals, sketching the inverse DFT y[n]
0, 1,, 7, again using time domain calculations only.
=
Transcribed Image Text:Using the properties of DFT, compute and sketch the inverse DFT y[n], n = 0, 1, 2, 3 using time domain calculations only. (b) Repeat (a), but using 8-point DFTs of the same signals, sketching the inverse DFT y[n] 0, 1,, 7, again using time domain calculations only. =
Problem 10.4 Consider the length 2 signal h[n] specified by h[0] = 1, h[1] = −1, with h[n] = 0
for all other values of n.
(a) Let X [k] denote the 4-point DFT of the signal x[n] in Problem 10.1. Let H[k] denote the
4-point DFT of h[n]. Define
Y[k] = X[k]H[k], k = 0,1,2,3
Transcribed Image Text:Problem 10.4 Consider the length 2 signal h[n] specified by h[0] = 1, h[1] = −1, with h[n] = 0 for all other values of n. (a) Let X [k] denote the 4-point DFT of the signal x[n] in Problem 10.1. Let H[k] denote the 4-point DFT of h[n]. Define Y[k] = X[k]H[k], k = 0,1,2,3
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