Er , √x (1) X(t+T) fx dx show that the Process * Elx X(t) = A cos(w.t + 6) in wide-sense stationary and if A, w Wo are constant Auto and 6 is uniformly distributed of the C.V. on (-.^,^) X(E)- The

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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S:.
order
undem process
X(E) X (E+
(T)
correlation
V
Efv
show that the Process
X(t) = A cos(w.t + 6)
wide-se
if A, wo
and
B
C.V.
on
density satisfies
f₂ (x,x₂, t₁, ₁) = f (x,x₂, tits, bib))
SX (1) X (t +T) P₂ dx
* The correlation
E(x ) = E(X₁) X₂ (4]
=R₂(b, tal
XX
and
called the
orrelation function
Jom Process
R (4₁,4₂)=E(x²)x(4)
Xx
trab+T
W
sense stationary
are constant
Auto
is uniformly distributes of the
X(A)
Transcribed Image Text:S:. order undem process X(E) X (E+ (T) correlation V Efv show that the Process X(t) = A cos(w.t + 6) wide-se if A, wo and B C.V. on density satisfies f₂ (x,x₂, t₁, ₁) = f (x,x₂, tits, bib)) SX (1) X (t +T) P₂ dx * The correlation E(x ) = E(X₁) X₂ (4] =R₂(b, tal XX and called the orrelation function Jom Process R (4₁,4₂)=E(x²)x(4) Xx trab+T W sense stationary are constant Auto is uniformly distributes of the X(A)
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