Let x (n) be the input signal to a discrete-time filter with impulse response hi (n) and let y (n) be the corresponding output.
(a) Compute and sketch x(n) and y (n) in the following cases, using the same scale in all figures.
Sketch x (n) , (n) , y2(n) on one graph and x(n), y3 (n) , y4(n), y5(n) on another graph
(b) What is the difference between yi(n) and y2(n), and between y3(n) and y4(n)?
(c) Comment on the smoothness of y2(n) and y4(n). Which factors affect the smoothness?
(d) Compare y4(n) with n(n) . What is the difference? Can you explain it?
(e) Let Compute y 6(n) . Sketch x(n), y2(n), and y 6(n) on the same figure and comment on the results.
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