5 3 y(n) = y(n − 1) + y(n − 2) + x(n) (a) Determine the total response y(n), n ≥ 0 when the input signal is x(n) = ()u(n) and y(-1) = C₁, y(-2) = c₂ are the given initial conditions. Is x(n) a bounded signal? Is y(n) a bounded signal? (b) Based on your answer in (a) determine the zero-input system response and the zero-state system response. (c) Determine the impulse response h(n) of this system. Is the system BIBO-stable? Is the system FIR or IIR? Is the system an-all pole system?
5 3 y(n) = y(n − 1) + y(n − 2) + x(n) (a) Determine the total response y(n), n ≥ 0 when the input signal is x(n) = ()u(n) and y(-1) = C₁, y(-2) = c₂ are the given initial conditions. Is x(n) a bounded signal? Is y(n) a bounded signal? (b) Based on your answer in (a) determine the zero-input system response and the zero-state system response. (c) Determine the impulse response h(n) of this system. Is the system BIBO-stable? Is the system FIR or IIR? Is the system an-all pole system?
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...
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Question
![5
3
y(n) = ży(n − 1) + − y(n − 2) + x(n)
(a) Determine the total response y(n), n ≥ 0 when the input signal is x(n) = (½)¹u(n) and
y(-1) = C₁, y(-2) = c₂ are the given initial conditions. Is x(n) a bounded signal? Is y(n) a
bounded signal?
(b) Based on your answer in (a) determine the zero-input system response and the zero-state
system response.
(c) Determine the impulse response h(n) of this system. Is the system BIBO-stable? Is the
system FIR or IIR? Is the system an-all pole system?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fcb23cde1-d29d-434b-98b1-3e624e29f5ef%2F72bedaf8-eeb6-4395-925c-6af8eae19e9f%2F7vt7xy_processed.jpeg&w=3840&q=75)
Transcribed Image Text:5
3
y(n) = ży(n − 1) + − y(n − 2) + x(n)
(a) Determine the total response y(n), n ≥ 0 when the input signal is x(n) = (½)¹u(n) and
y(-1) = C₁, y(-2) = c₂ are the given initial conditions. Is x(n) a bounded signal? Is y(n) a
bounded signal?
(b) Based on your answer in (a) determine the zero-input system response and the zero-state
system response.
(c) Determine the impulse response h(n) of this system. Is the system BIBO-stable? Is the
system FIR or IIR? Is the system an-all pole system?
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