1. Consider the difference equation shown below. y(n) = 0.0899x(n) + 0.0257x(n − 1) - 0.0257x(n − 2) - 0.0899x(n − 3) + 1.6148y(n − 1) - 1.9395y(n − 2) + 1.2807y(n-3) - 0.5852y(n − 4) Solve the following: A. System Function, H(z) B. Poles and zeros position in the z-plane C. Expression of the impulse response, h(n). Verify your answer by comparing the stem plots of the first 50 samples of h(n) vs. using impz () function D. Frequency response plot of the system. Comment on the plot of the frequency response in relation to the position of the poles and zeros.
1. Consider the difference equation shown below. y(n) = 0.0899x(n) + 0.0257x(n − 1) - 0.0257x(n − 2) - 0.0899x(n − 3) + 1.6148y(n − 1) - 1.9395y(n − 2) + 1.2807y(n-3) - 0.5852y(n − 4) Solve the following: A. System Function, H(z) B. Poles and zeros position in the z-plane C. Expression of the impulse response, h(n). Verify your answer by comparing the stem plots of the first 50 samples of h(n) vs. using impz () function D. Frequency response plot of the system. Comment on the plot of the frequency response in relation to the position of the poles and zeros.
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
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answer A and B.
Transcribed Image Text:1.
Consider the difference equation shown below.
y(n) = 0.0899x(n) + 0.0257x(n − 1) — 0.0257x(n − 2) — 0.0899x(n − 3)
+ 1.6148y(n − 1) — 1.9395y(n − 2) + 1.2807y(n − 3) −0.5852y(n − 4)
Solve the following:
A. System Function, H(z)
B. Poles and zeros position in the z-plane
C. Expression of the impulse response, h(n). Verify your answer by comparing the
stem plots of the first 50 samples of h(n) vs. using impz () function
D. Frequency response plot of the system. Comment on the plot of the frequency
response in relation to the position of the poles and zeros.
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