A sinusoidal random process is defined as X[n] = A cos(0.3n) for A~N(0, 1). Compute the mean sequence #x[n]. riance sequence ơn.

Trigonometry (MindTap Course List)
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Chapter6: Topics In Analytic Geometry
Section6.4: Hyperbolas
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4. A simusoidal random process is defined as X n:
A cos(0.3zn) for -x <n<0, where
%3D
A~ N(0, 1).
(a)
Compute the mean sequence uxn].
(b)
Compute the variance sequence oin].
(c)
ls X[n] a stationary sequence? Why or why not?
(d)
Compute the autocorrelation sequence of X n], rx\n1, n2.
(e)
Is Xn] wide-sense stationary? Why or why not?
%3D
Potentially useful identity: cos(A) cos(B) = cos(A- B) + cos(A+ B)
Transcribed Image Text:4. A simusoidal random process is defined as X n: A cos(0.3zn) for -x <n<0, where %3D A~ N(0, 1). (a) Compute the mean sequence uxn]. (b) Compute the variance sequence oin]. (c) ls X[n] a stationary sequence? Why or why not? (d) Compute the autocorrelation sequence of X n], rx\n1, n2. (e) Is Xn] wide-sense stationary? Why or why not? %3D Potentially useful identity: cos(A) cos(B) = cos(A- B) + cos(A+ B)
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