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Consider the causal discrete-time system described by the difference equation: y[n] + žy[n − 1] + ¹⁄y[n − 2] = x[n] Determine the system function H(z). 1 , ROC: 2 > 1/2 (1 + ½⁄z−¹)(1 + z−¹) ' 1 , ROC: |Z| 1/ (1-z-¹)(1-z-¹) ' Determine the impulse response h[n]. O[2(–})" –3(–3)"][n] O[(})" — (3)"]u[n] OK 1\n ( 1\]..[..]

Consider the causal discrete-time system described by the difference equation: y[n] + žy[n − 1] + ¹⁄y[n − 2] = x[n] Determine the system function H(z). 1 , ROC: 2 > 1/2 (1 + ½⁄z−¹)(1 + z−¹) ' 1 , ROC: |Z| 1/ (1-z-¹)(1-z-¹) ' Determine the impulse response h[n]. O[2(–})" –3(–3)"][n] O[(})" — (3)"]u[n] OK 1\n ( 1\]..[..]

Introductory Circuit Analysis (13th Edition)
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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Consider the causal discrete-time system described by the difference equation:

Consider the causal discrete-time system described by the difference equation: y[n] + žy[n − 1] + {y[n − 2] = x[n] - Determine the system function H(z). 1 -, ROC: |Z| > 2 // (1 + z−¹)(1+z−¹)' 1 , ROC: |Z| <= *(1 + ½ z−¹)(1 + z−¹)' 1 ROC: = < <=/ (1 − ½z-¹)(1 – z−¹) ' 1 , ROC: = <2</ (1 − ½ z−¹)(1 + z−¹)' 1 , ROC: = < < <= (1 + z−¹)(1+z−¹)' 1 , ROC: 2 > // (1 – ½ z−¹)(1 – z−¹) ' Determine the impulse response h[n]. O[2(–})" – 3(–3)"][n] O[(})” _ (})"]u[n] Ol(-})" -(-3)"]u[n] O[3(})” – 2(})”]u[n] O[2(})n – 3(})"]u[n] - O[3(–})" – 2(–3)"]un
Transcribed Image Text:Consider the causal discrete-time system described by the difference equation: y[n] + žy[n − 1] + {y[n − 2] = x[n] - Determine the system function H(z). 1 -, ROC: |Z| > 2 // (1 + z−¹)(1+z−¹)' 1 , ROC: |Z| <= *(1 + ½ z−¹)(1 + z−¹)' 1 ROC: = < <=/ (1 − ½z-¹)(1 – z−¹) ' 1 , ROC: = <2</ (1 − ½ z−¹)(1 + z−¹)' 1 , ROC: = < < <= (1 + z−¹)(1+z−¹)' 1 , ROC: 2 > // (1 – ½ z−¹)(1 – z−¹) ' Determine the impulse response h[n]. O[2(–})" – 3(–3)"][n] O[(})” _ (})"]u[n] Ol(-})" -(-3)"]u[n] O[3(})” – 2(})”]u[n] O[2(})n – 3(})"]u[n] - O[3(–})" – 2(–3)"]un
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