Consider the random process of Problem 7.4. (a) Find the time-average mean and the auto correlation function.

Question:

Consider the random process of Problem 7.4.
(a) Find the time-average mean and the auto correlation function.
(b) Find the ensemble-average mean and the auto correlation function.
(c) Is this process wide-sense stationary? Why or why not?

Data From Problem 7.4

Let the sample functions of a random process be given by

X(t) = A cos 2Ï€f₀t

where Ï‰₀ is fixed and A has the pdf

e-a? /20, fA (a) = V2πσ, τσ α

This random process is passed through an ideal integrator to give a random process Y(t).

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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 22, 2018 12:09 PM

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Consider the random process of Problem 7.4. (a) Find the time-average mean and the auto correlation function.

Question:

e-a? /20, fA (a) = V2πσ, τσ α

Step by Step Answer:

a The timeaverage mean is zero The timeaverage auto correlation function is b Again th...View the full answer

Principles of Communications Systems, Modulation and Noise

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