Part C and D only!
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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Part C and D only!
![Q2) If the input and output of a causal LTI system satisfy the difference equation.
y[n] = ay[n 1] + x[n]
Then the impulse response of the system must be h[n] = a^u[n].
A) For what values of a is this system stable?
B) Consider a causal LTI system for which the input and output are related by
difference equation
y[n] ay[n 1] + x[n] − ax[n - N]
=
where N is a positive integer. Determine and sketch the impulse response of this
system. (Hint: Use linearity and time-invariant to simplify the solution.)
C) Is the system in part (B) FIR or an IIR system? Explain.
D) For what values of a is the system in part (B) stable? Explain.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa4e23d50-b6e1-4880-9ad9-a789799b751b%2F18cd746a-0d91-410c-b9e1-5350b0edee50%2Ffltnfir_processed.png&w=3840&q=75)
Transcribed Image Text:Q2) If the input and output of a causal LTI system satisfy the difference equation.
y[n] = ay[n 1] + x[n]
Then the impulse response of the system must be h[n] = a^u[n].
A) For what values of a is this system stable?
B) Consider a causal LTI system for which the input and output are related by
difference equation
y[n] ay[n 1] + x[n] − ax[n - N]
=
where N is a positive integer. Determine and sketch the impulse response of this
system. (Hint: Use linearity and time-invariant to simplify the solution.)
C) Is the system in part (B) FIR or an IIR system? Explain.
D) For what values of a is the system in part (B) stable? Explain.
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