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1.61. A system is called invertible if we can determine its input signal x uniquely by observing its output signal y. This is illustrated in Fig. 1-43. Determine if each of the following systems is invertible. If the system is invertible, give the inverse system. x y System Inverse system Fig. 1-43 (a) y(t)=2x(t) (b) y(t)=x²(1) (c) y(t)= ['_x(r)dT (d) y[n] = n Σ x[k] k = -α (e) y[n]=nx[n]

1.61. A system is called invertible if we can determine its input signal x uniquely by observing its output signal y. This is illustrated in Fig. 1-43. Determine if each of the following systems is invertible. If the system is invertible, give the inverse system. x y System Inverse system Fig. 1-43 (a) y(t)=2x(t) (b) y(t)=x²(1) (c) y(t)= ['_x(r)dT (d) y[n] = n Σ x[k] k = -α (e) y[n]=nx[n]

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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1.61. A system is called invertible if we can determine its input signal x uniquely by observing its output signal y. This is illustrated in Fig. 1-43. Determine if each of the following systems is invertible. If the system is invertible, give the inverse system. x y System Inverse system Fig. 1-43 (a) y(t)=2x(t) (b) y(t)=x²(1) (c) y(t)= ['_x(r)dT (d) y[n] = n Σ x[k] k = -α (e) y[n]=nx[n]
Transcribed Image Text:1.61. A system is called invertible if we can determine its input signal x uniquely by observing its output signal y. This is illustrated in Fig. 1-43. Determine if each of the following systems is invertible. If the system is invertible, give the inverse system. x y System Inverse system Fig. 1-43 (a) y(t)=2x(t) (b) y(t)=x²(1) (c) y(t)= ['_x(r)dT (d) y[n] = n Σ x[k] k = -α (e) y[n]=nx[n]
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