Given difference equation y(n) = 0.6y(n − 1) − 0.25y(n − 2) + 2x(n) − 0.5x(n − 1) using homogenous and particular solution, (a) Find the impulse and step responses at the zero initial condition. (b) For y(−2) = 1, y(−1) = 2 and x(n) = 0.4n u(n), n ≥ 0 find y(n) ? (c) Realize the system using Direct Form I and Direct Form II. Compare your results.
Given difference equation y(n) = 0.6y(n − 1) − 0.25y(n − 2) + 2x(n) − 0.5x(n − 1) using homogenous and particular solution, (a) Find the impulse and step responses at the zero initial condition. (b) For y(−2) = 1, y(−1) = 2 and x(n) = 0.4n u(n), n ≥ 0 find y(n) ? (c) Realize the system using Direct Form I and Direct Form II. Compare your results.
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
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Given difference equation
y(n) = 0.6y(n − 1) − 0.25y(n − 2) + 2x(n) − 0.5x(n − 1)
using homogenous and particular solution,
(a) Find the impulse and step responses at the zero initial condition.
(b) For y(−2) = 1, y(−1) = 2 and x(n) = 0.4n u(n), n ≥ 0 find y(n) ?
(c) Realize the system using Direct Form I and Direct Form II. Compare your results.
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