An LTI system is described by the difference equation y[n] = 2x[n] 3x[n 1]...
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An LTI system is described by the difference equation y[n] = 2x[n] − 3x[n − 1] + 2x[n − 2] (a) When the input to this system is n<0 n = 0, 1, 2 n = 3,4 4 n≥ 5 Compute the values of y[n], over the index range 0 ≤ n ≤ 10. (b) For the previous part, plot both x[n] and y[n]. (c) Determine the response of this system to a unit impulse input, that is, find the output y[n] = h[n] when the input is x[n] = 8[n]. Plot h[n] as a function of n. x[n] = n+1 5 - n 1 An LTI system is described by the difference equation y[n] = 2x[n] − 3x[n − 1] + 2x[n − 2] (a) When the input to this system is n<0 n = 0, 1, 2 n = 3,4 4 n≥ 5 Compute the values of y[n], over the index range 0 ≤ n ≤ 10. (b) For the previous part, plot both x[n] and y[n]. (c) Determine the response of this system to a unit impulse input, that is, find the output y[n] = h[n] when the input is x[n] = 8[n]. Plot h[n] as a function of n. x[n] = n+1 5 - n 1
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