1.61. A systen is called inver illustrated in Fig.1-43. Determine if each of the following systems is invertible, If the system is invertible, give the inverse system. 37 CHAPTER 1 Signals and Systems Inverse System system Fig. 1-43 (a) y(t)= 2x(t) (b) y(t)=x²(t) (c) y() = f' _x(t)dt (d) y[n]= (e) y[n]= nx[n]

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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.
37
CHAPTER 1 Signals and Systems
y
Inverse
System
system
Fig. 1-43
(a) y(t)= 2x(t)
(b) y(t)=x²(t)
(c) y(t)= fx(r)dr
%3D
(d) y[n]= x(k]
%3D
(e) y[n]= nx[n]
%3|
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. 37 CHAPTER 1 Signals and Systems y Inverse System system Fig. 1-43 (a) y(t)= 2x(t) (b) y(t)=x²(t) (c) y(t)= fx(r)dr %3D (d) y[n]= x(k] %3D (e) y[n]= nx[n] %3|
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