Q1: A discrete system described by the following difference equation - y(n) = x(n) 0.9x(n-1) - 0.1x(n-2)- 0.3y(n-1)+ 0.04y(n-2) a) Find the transfer function H(z). b) Plot the poles and zeros on the z-plane and determine the system's stability. c) Determine the frequency response and plot magnitude and phase graphs. d) Realize the system using direct-form realizations.

Introductory Circuit Analysis (13th Edition)
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Author:Robert L. Boylestad
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Q1:
A discrete system described by the following difference equation
-
y(n) = x(n) 0.9x(n-1) - 0.1x(n-2)- 0.3y(n-1)+ 0.04y(n-2)
a) Find the transfer function H(z).
b) Plot the poles and zeros on the z-plane and determine the system's stability.
c) Determine the frequency response and plot magnitude and phase graphs.
d) Realize the system using direct-form realizations.
Transcribed Image Text:Q1: A discrete system described by the following difference equation - y(n) = x(n) 0.9x(n-1) - 0.1x(n-2)- 0.3y(n-1)+ 0.04y(n-2) a) Find the transfer function H(z). b) Plot the poles and zeros on the z-plane and determine the system's stability. c) Determine the frequency response and plot magnitude and phase graphs. d) Realize the system using direct-form realizations.
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