A nonlinear system has input X and output Y. The pdf for the input is Gaussian as

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A nonlinear system has input X and output Y. The pdf for the input is Gaussian as given in Problem 6.16.

Determine the pdf of the output, assuming that the nonlinear system has the following input/output relationship:

(a) aX, X >0 Y = 0,

When X < 0, what is Y? How is this manifested in the pdf for Y?

(b) Y = |X|;

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Principles of Communications Systems, Modulation and Noise

ISBN: 978-8126556793

7th edition

Authors: Rodger E. Ziemer, William H. Tranter

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Question Posted: Sep 19, 2018 01:04 PM

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A nonlinear system has input X and output Y. The pdf for the input is Gaussian as

Question:

aX, X >0 Y = 0,

Step by Step Answer:

a First note that P Y 0 P X 0 12 For y 0 transformation of variables gives Since y ...View the full answer

Principles of Communications Systems, Modulation and Noise

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