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2.53. The system shown in Fig. 2-31 is formed by connection two systems in parallel. The impulse responses of the systems are given by h₁(t)=eu(1) and h₂(1) = 2e'u(1) (a) Find the impulse response h(t) of the overall system. (b) Is the overall system stable? Ans. (a) h(t) = (e-21 + 2e')u(t) (b) Yes x(t) h₁(1) + h₂(1) Fig. 2-31 + y(t) Σ

2.53. The system shown in Fig. 2-31 is formed by connection two systems in parallel. The impulse responses of the systems are given by h₁(t)=eu(1) and h₂(1) = 2e'u(1) (a) Find the impulse response h(t) of the overall system. (b) Is the overall system stable? Ans. (a) h(t) = (e-21 + 2e')u(t) (b) Yes x(t) h₁(1) + h₂(1) Fig. 2-31 + y(t) Σ

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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2.53. The system shown in Fig. 2-31 is formed by connection two systems in parallel. The impulse responses of the systems are given by h₁(t)=eu(1) and h₂(1) = 2e'u(1) (a) Find the impulse response h(t) of the overall system. (b) Is the overall system stable? Ans. (a) h(t) = (e-21 + 2e')u(t) (b) Yes x(t) h₁(1) + h₂(1) Fig. 2-31 + y(t) Σ
Transcribed Image Text:2.53. The system shown in Fig. 2-31 is formed by connection two systems in parallel. The impulse responses of the systems are given by h₁(t)=eu(1) and h₂(1) = 2e'u(1) (a) Find the impulse response h(t) of the overall system. (b) Is the overall system stable? Ans. (a) h(t) = (e-21 + 2e')u(t) (b) Yes x(t) h₁(1) + h₂(1) Fig. 2-31 + y(t) Σ
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