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a) Memory, reversibility and causality properties of the system y(t)=log(x(t)+ 2) are there? Explain the reason, show the proof. b) y[n]=Imag{j.x[n-1]} Causality, linearity and time invariance of system Are there any features? Explain the reason, show the proof. c) Does a system deriving the derivative of the input signal have linearity and stability properties? Explain the reason, show the proof.

a) Memory, reversibility and causality properties of the system y(t)=log(x(t)+ 2) are there? Explain the reason, show the proof. b) y[n]=Imag{j.x[n-1]} Causality, linearity and time invariance of system Are there any features? Explain the reason, show the proof. c) Does a system deriving the derivative of the input signal have linearity and stability properties? Explain the reason, show the proof.

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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Evaluate the following systems in terms of their properties.
a) Memory, reversibility and causality properties of the system y(t)=log(x(t)+ 2) are there? Explain the reason, show the proof.
b) y[n]=Imag{j.x[n-1]} Causality, linearity and time invariance of system Are there any features? Explain the reason, show the proof.
c) Does a system deriving the derivative of the input signal have linearity and stability properties? Explain the reason, show the proof.
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