! Required information A discrete-time system is described by the difference equation y[n] – 0.85y[n – 2] = x[n] where x[n] is the excitation and y[n] is the response. Find the values of h[0], h[1], h[2], h[3], and h[4). The value of h[O] is ], h[1] is | |, h[2] is| h[3] is and h[4] is
! Required information A discrete-time system is described by the difference equation y[n] – 0.85y[n – 2] = x[n] where x[n] is the excitation and y[n] is the response. Find the values of h[0], h[1], h[2], h[3], and h[4). The value of h[O] is ], h[1] is | |, h[2] is| h[3] is and h[4] is
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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![### Required Information
A discrete-time system is described by the difference equation:
\[ y[n] - 0.85y[n-2] = x[n] \]
where \( x[n] \) is the excitation and \( y[n] \) is the response.
### Problem Statement
Find the values of \( h[0] \), \( h[1] \), \( h[2] \), \( h[3] \), and \( h[4] \).
The value of \( h[0] \) is ____, \( h[1] \) is ____, \( h[2] \) is ____, \( h[3] \) is ____, and \( h[4] \) is ____.
---
Note: The equation \( y[n] - 0.85y[n-2] = x[n] \) represents a linear difference equation where the output \( y[n] \) depends on the input \( x[n] \) and the past output \( y[n-2] \). You need to determine the impulse response \( h[n] \) for \( n = 0, 1, 2, 3, 4 \).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1b94d5d1-8249-4b1b-8d70-6007d482e8f0%2F7efc35e2-8436-4c79-8758-323d337cf93a%2Fjjgl0n_processed.png&w=3840&q=75)
Transcribed Image Text:### Required Information
A discrete-time system is described by the difference equation:
\[ y[n] - 0.85y[n-2] = x[n] \]
where \( x[n] \) is the excitation and \( y[n] \) is the response.
### Problem Statement
Find the values of \( h[0] \), \( h[1] \), \( h[2] \), \( h[3] \), and \( h[4] \).
The value of \( h[0] \) is ____, \( h[1] \) is ____, \( h[2] \) is ____, \( h[3] \) is ____, and \( h[4] \) is ____.
---
Note: The equation \( y[n] - 0.85y[n-2] = x[n] \) represents a linear difference equation where the output \( y[n] \) depends on the input \( x[n] \) and the past output \( y[n-2] \). You need to determine the impulse response \( h[n] \) for \( n = 0, 1, 2, 3, 4 \).
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