11.38 Windowing and DTFT-A window w[n] is used to consider the part of a signal we are interested in. (a) Let w[n] = u[n

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11 38 Windowing And Dtft A Window W N Is Used To Consider The Part Of A Signal We Are Interested In A Let W N U N 1 (353.66 KiB) Viewed 16 times

11.38 Windowing and DTFT-A window w[n] is used to consider the part of a signal we are interested in. (a) Let w[n] = u[n] - u[n – 20] be a rectangular window of length 20. Let x[n] = sin(0.1än) and we are interested in a period of the infi- nite length signal x[n], or y[n] = x[n]w[n]. Compute the DTFT of y[n] and compare it with the DTFT of x[n]. Write a MATLAB script to compute Y(e). (b) Let_w₁[n] = (1 + cos(2àn/11))(u[n +5] − u[n – 5]) be a raised cosine window which is symmetric with respect to n = 0 (non- causal). Adapt the script in the previous part to find the DTFT of z[n] = x[n]w₁ [n] where x[n] is the sinusoid given above.