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Consider the random processes X₁ = A, cost and Y₁ =B₁ sint. Here A, and Be are zero mean WSS (weak sense stationary) independent processes with the correlation function RAA(T) = RBB(T) = R(T), where 7 is the separation between two moments t and t + T. Show that X, and Y, are not WSS. Show that Z₁ = X₁ + Y₁ is a WSS random process.

Consider the random processes X₁ = A, cost and Y₁ =B₁ sint. Here A, and Be are zero mean WSS (weak sense stationary) independent processes with the correlation function RAA(T) = RBB(T) = R(T), where 7 is the separation between two moments t and t + T. Show that X, and Y, are not WSS. Show that Z₁ = X₁ + Y₁ is a WSS random process.

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Consider the random processes X = A cost and Y = B sin t. Here A and B are zero mean WSS (weak sense stationary) independent processes with the correlation function RAA(T) = RBB(T) = R(7), where T is the separation between two moments t and t+T. • Show that X and Y, are not WSS. • Show that Z = X + Y is a WSS random process.
Transcribed Image Text:Consider the random processes X = A cost and Y = B sin t. Here A and B are zero mean WSS (weak sense stationary) independent processes with the correlation function RAA(T) = RBB(T) = R(7), where T is the separation between two moments t and t+T. • Show that X and Y, are not WSS. • Show that Z = X + Y is a WSS random process.
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