Answered: A random process X(1) is defined as…

A random process X(1) is defined as X(1) = A¸ cos(2#f,1) +A, sin(2¤f1) where A, and A, are independent Gaussian random variables with zero mean and variance o? and o, respectively, where o + o;.

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter4: Polynomial And Rational Functions

Section4.6: Variation

Problem 2E

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Please answer the following question completely, I will upvote.

A random process X (t) is defined as
X(1) = A.cos(27f.1)+A, sin(27f.1)
where A, and A, are independent Gaussian random variables with zero mean and variance o? and
o, respectively, where o? + o.
(a) Find the mean E[X].
(b) Find autocorrelation function Rx(t+T,1).
(c) Is X(t) stationary?
(d) Find the power spectral density of Sx(f).

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