Y2n 500 400 y2n 300 200 100 0 100 20 b 6 15 10 4

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Unformatted text preview: [n] = 45(n+10)(u[n+10] ‐ u[n]) ‐ 15n(u[n] ‐ u[n‐10]) + 15(n‐5)(u[n‐5] ‐u[n‐15]). y2[n] 500 400 y2[n] 300 200 100 0 -100 -20 b) 6 -15 -10 4 , -5 0 n 5 15 1 10 15 20 5 3 y2(t) 120 100 80 y2(t) 60 40 20 0 -20 -40 -2 0 2 4 t 6 8 10 Problem 3 (discrete-time convolution): Convolve, using analytical methods (by doing summations), the two functions x3[n] and h3[n] given in the following equations. 1 , 3 3 ∑ By using geometric sum 2 3 3 100 2 73 10 3 1 3 10 3 1 10 91 75 Problem 4 (continuous-time convolution): Compute (by hand) the convolutions of the following pairs of time functions: 5 2 , 6 3 a) 5 6 30 b) 5 30 2 6 30 3 30 2 30 5 y(t) = 15(u(t‐5)*e10‐2t‐u(t‐2)*e4‐2t) c) 6 3 y(t) = 30(u(t‐2)*e4‐2t –u(t‐5)*e10‐2t) The convolution of x(t) with the derivative of h(t)...
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