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The following input-output pairs have been observed during the operation of a time-invariant system: x₁[n]={1,0,2} x₂[n] = {0,0,3} ↑ x3[n] (0,0,0,1} S S S · yı[n]={0,1,2} y2[n]={0,1,0,2} · Y³[n]={1,2,1} Can you draw any conclusions regarding the linearity of the system? What is the impulse response of the system?

The following input-output pairs have been observed during the operation of a time-invariant system: x₁[n]={1,0,2} x₂[n] = {0,0,3} ↑ x3[n] (0,0,0,1} S S S · yı[n]={0,1,2} y2[n]={0,1,0,2} · Y³[n]={1,2,1} Can you draw any conclusions regarding the linearity of the system? What is the impulse response of the system?

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
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Problem 2 The following input-output pairs have been observed during the operation of a time-invariant system: x₁ [n]={1,0,2} ↑ x₂[n] = {0,0,3} x3[n] = {0,0,0,1} S S S yı[n]={0,1,2} y2[n]={0,1,0,2} ► y³[n]={1,2,1} Can you draw any conclusions regarding the linearity of the system? What is the impulse response of the system?
Transcribed Image Text:Problem 2 The following input-output pairs have been observed during the operation of a time-invariant system: x₁ [n]={1,0,2} ↑ x₂[n] = {0,0,3} x3[n] = {0,0,0,1} S S S yı[n]={0,1,2} y2[n]={0,1,0,2} ► y³[n]={1,2,1} Can you draw any conclusions regarding the linearity of the system? What is the impulse response of the system?
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