4. Given a random variable w with density F(w) and a random variable p as the umiform im the interval (-71, +71) where wlP (two w and p are independent) R.V.S Suppose the stochastic process, xt) = a Cos (wt+P). %3D a) show that xlt) Wss with zero mean ond auto correlation equal R(E) = E(Coswe) 2 j(wt+P) b) show that zt)=aë is also Wss.

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
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4. Given a
random variable w with den sity F(w)
and a
random variable p as the umiform
im the interval (-71, +71) where wlP
(two
w and p are independent)
R.V.S
Suppose the stochastic process, xt) =a Cos (wt+P).
meam
a) show that xlt) is wss with zero
and auto correlation equal R(E) = E (Coswr)
j(wt+P)
b) show that zt)=aé
is also a
Wss.
Transcribed Image Text:4. Given a random variable w with den sity F(w) and a random variable p as the umiform im the interval (-71, +71) where wlP (two w and p are independent) R.V.S Suppose the stochastic process, xt) =a Cos (wt+P). meam a) show that xlt) is wss with zero and auto correlation equal R(E) = E (Coswr) j(wt+P) b) show that zt)=aé is also a Wss.
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