A WSS process X(t) has autocorrelation function Rxx(7) = 60 + 125e¯|t|/100 a. Does X(t) have any periodic components? How can you tell? b. Determine the mean square value of X(t). c. Determine the mean of X(t), if possible. d. Determine the autocovariance function of X(t). e. Determine Cov(X(10), X(15)). f. Determine the standard deviation of X(t).

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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34. A WSS process X(t) has autocorrelation function Rxx(7) = 60 + 125e¯|t|/100
a. Does X(t) have any periodic components? How can you tell?
b. Determine the mean square value of X(t).
c. Determine the mean of X(t), if possible.
d. Determine the autocovariance function of X(t).
e. Determine Cov(X(10), X(15)).
f. Determine the standard deviation of X(t).
Transcribed Image Text:34. A WSS process X(t) has autocorrelation function Rxx(7) = 60 + 125e¯|t|/100 a. Does X(t) have any periodic components? How can you tell? b. Determine the mean square value of X(t). c. Determine the mean of X(t), if possible. d. Determine the autocovariance function of X(t). e. Determine Cov(X(10), X(15)). f. Determine the standard deviation of X(t).
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