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2. For the following two sequences, xn -2 ar[m] = {-1,5,1,2,-3,0,2} p[] = {0, -3, -1,0,8.7, -2} 6 h[n 6,, = = Determine y[n] x[n]
2. For the following two sequences, xn -2 ar[m] = {-1,5,1,2,-3,0,2} p[] = {0, -3, -1,0,8.7, -2} 6 h[n 6,, = = Determine y[n] x[n] * h[n) using a frequency-domain approach. More specifically, first determine X(ejw) and H (ejw) by taking the DTFT of x[n] and h[n]. Next find Y (ejw) = X (C1w) (ejw). Finally, take the inverse DTFT of Y (ejw) to obtain y[n]. Compare your result against that obtained with time domain convolution (you may refer to the solution to problem 3(a) from chapter 2). Do this both analytically and in Matlab. The Matlab version will require you to write a function for computing the inverse DTFT. Turn in the following: (a) Your analytical solution showing expressions for X (ejw), H(ejw), Y (@jw), and y[n] plus your observation regarding how your y[n] compares to the y[n] from problem 3(a) in chapter 2. (b) Your Matlab function for computing the inverse DTFT. (c) Plots of the magnitude and phase of X (ejw), H (ejw), Y (@jw) and the Matlab code used to produce the plots. (d) A stem plot that compares y[ncomputed using the frequency-domain approach and y[n] computed using the time-domain approach (the solution to problem 3(a) from chapter 2)
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