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For each of the following LTI systems, find the z-domain transfer function, and its zeros and poles. For these expressions, h[n] is the impulse re- sponse, a[n] is the input signal and y[n] is the output signal. Express your answer as either a z polynomial of finite order or as the ratio of two z polynomials of finite order. In all cases, assume that the input signal begins at n = 0 or later. Also assume that y[n] = 0 for n <0. State whether the system is FIR or IIR and briefly justify your answer. a.) y[n] = 0.6y[n 1] -0.25y[n - 2] + x[n] + 3x[n -2] b.) sin (37(n-1)/4) T(n-1) (u[n] - u[n - 3]) (hint: can you express h[n] another way?) c.) d.) h[n] = = y[n] = 3x[n] + 10x[n − 2] + 8x[n − 4] - h[n] = (-0.4)" u[n] + 2(−0.75)n-¹u[n − 1] -

For each of the following LTI systems, find the z-domain transfer function, and its zeros and poles. For these expressions, h[n] is the impulse re- sponse, a[n] is the input signal and y[n] is the output signal. Express your answer as either a z polynomial of finite order or as the ratio of two z polynomials of finite order. In all cases, assume that the input signal begins at n = 0 or later. Also assume that y[n] = 0 for n <0. State whether the system is FIR or IIR and briefly justify your answer. a.) y[n] = 0.6y[n 1] -0.25y[n - 2] + x[n] + 3x[n -2] b.) sin (37(n-1)/4) T(n-1) (u[n] - u[n - 3]) (hint: can you express h[n] another way?) c.) d.) h[n] = = y[n] = 3x[n] + 10x[n − 2] + 8x[n − 4] - h[n] = (-0.4)" u[n] + 2(−0.75)n-¹u[n − 1] -

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
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Answer only subparts C and D please
For each of the following LTI systems, find the z-domain transfer function, and its zeros and poles. For these expressions, h[n] is the impulse re- sponse, x[n] is the input signal and y[n] is the output signal. Express your answer as either a z polynomial of finite order or as the ratio of two z polynomials of finite order. In all cases, assume that the input signal begins at n = 0 or later. Also assume that y[n] = 0 for n <0. State whether the system is FIR or IIR and briefly justify your answer. a.) y[n] = 0.6y[n 1] -0.25y[n - 2] + x[n] + 3x[n -2] b.) sin (37(n-1)/4)` T(n − 1) (u[n] - u[n - 3]) - (hint: can you express h[n] another way?) c.) d.) h[n]: = y[n] = 3x[n] + 10x[n - 2] + 8x[n - 4] h[n] = (−0.4)”u[n] + 2(−0.75)”−¹u[n − 1]
Transcribed Image Text:For each of the following LTI systems, find the z-domain transfer function, and its zeros and poles. For these expressions, h[n] is the impulse re- sponse, x[n] is the input signal and y[n] is the output signal. Express your answer as either a z polynomial of finite order or as the ratio of two z polynomials of finite order. In all cases, assume that the input signal begins at n = 0 or later. Also assume that y[n] = 0 for n <0. State whether the system is FIR or IIR and briefly justify your answer. a.) y[n] = 0.6y[n 1] -0.25y[n - 2] + x[n] + 3x[n -2] b.) sin (37(n-1)/4)` T(n − 1) (u[n] - u[n - 3]) - (hint: can you express h[n] another way?) c.) d.) h[n]: = y[n] = 3x[n] + 10x[n - 2] + 8x[n - 4] h[n] = (−0.4)”u[n] + 2(−0.75)”−¹u[n − 1]
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