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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. CHAPTER 1 Signals and Systems 37 y Inverse System system Fig. 1-43 (a) y(t)= 2x(t) (b) y(t)=x²(t) (c) y(t)= f"„x(r)dr 00 (d) y[n]= 2 x[k] k =- 00 (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. CHAPTER 1 Signals and Systems 37 y Inverse System system Fig. 1-43 (a) y(t)= 2x(t) (b) y(t)=x²(t) (c) y(t)= f"„x(r)dr 00 (d) y[n]= 2 x[k] k =- 00 (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. CHAPTER 1 Signals and Systems 37 y Inverse System system Fig. 1-43 (a) y(t)= 2x(t) (b) y(t)= x²(1) (c) y(t)= L",x(t)dr (d) y[n]= > x[k] k =- 00 (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. CHAPTER 1 Signals and Systems 37 y Inverse System system Fig. 1-43 (a) y(t)= 2x(t) (b) y(t)= x²(1) (c) y(t)= L",x(t)dr (d) y[n]= > x[k] k =- 00 (e) y[n]= nx[n]
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