Problem 5: A random process X(t) is defined by X(t) = Acos(2л ft) + B sin(2лft). Assume f = 100kHz. A and B are two independent zero-mean uniform random variables, with variances as σ and σ respectively. (a) Find mx(t) and Ry(t,t+r). (b) If oσ, is X(t) a WSS random process? Why? (c) Assume σ =σ. is X(t) a WSS random process? Why? (d) Determine and plot the power spectral density of X(t) in (c).
Problem 5: A random process X(t) is defined by X(t) = Acos(2л ft) + B sin(2лft). Assume f = 100kHz. A and B are two independent zero-mean uniform random variables, with variances as σ and σ respectively. (a) Find mx(t) and Ry(t,t+r). (b) If oσ, is X(t) a WSS random process? Why? (c) Assume σ =σ. is X(t) a WSS random process? Why? (d) Determine and plot the power spectral density of X(t) in (c).
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
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Transcribed Image Text:Problem 5:
A random process X(t) is defined by X(t) = Acos(2л ft) + B sin(2лft). Assume f = 100kHz. A and B are
two independent zero-mean uniform random variables, with variances as σ and σ respectively.
(a) Find mx(t) and Ry(t,t+r).
(b) If oσ, is X(t) a WSS random process? Why?
(c) Assume σ =σ. is X(t) a WSS random process? Why?
(d) Determine and plot the power spectral density of X(t) in (c).
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