I Consider the causal discrete-time LTI system described by the following constant coefficient difference equation: 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?

I Consider the causal discrete-time LTI system described by the following constant coefficient difference equation: 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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