Given a RV Y with characteristic function φ (ω)-Eleiω E{cos @Y + i sin @Y} i@Y and a random process defined by X(t) = cos (At + Y), show that {X(t)} is station- ary in the wide sense if $(1) = 0(2) = 0 %3D

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Given a RV Y with characteristic function
, ίωΥ
Ø(@) = E{ei®Y}
= E{cos @Y +i sin @Y}
%3D
and a random process defined by X(t) = cos (At + Y), show that {X(t)} is station-
ary in the wide sense
if
0(1) = 0(2) = 0
Transcribed Image Text:Given a RV Y with characteristic function , ίωΥ Ø(@) = E{ei®Y} = E{cos @Y +i sin @Y} %3D and a random process defined by X(t) = cos (At + Y), show that {X(t)} is station- ary in the wide sense if 0(1) = 0(2) = 0
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