9.1-6 Let v(1) = A cos (2ĦFt + 4) where A is a constant and F and are RVs. If O has a uniform distribution over 27 radians and F has an arbi- trary PDF p,(f), show that R,(t, t2) = cos 27A(1, - t2)Pf(A) dA %3D Also find v(t) and v°(t).

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Author:Robert L. Boylestad
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Electrical Engineering
Let v(1) = A cos (27F1 + d) where A is a constant and F and are
RVs. If O has a uniform distribution over 277 radians and F has an arbi-
trary PDF p;(f), show that
9.1-6t
R,(1), f2) = |
A?
cos 27A(t, - t2)Pf(A) dd
-00
Also find v(t) and v²(t).
Transcribed Image Text:Electrical Engineering Let v(1) = A cos (27F1 + d) where A is a constant and F and are RVs. If O has a uniform distribution over 277 radians and F has an arbi- trary PDF p;(f), show that 9.1-6t R,(1), f2) = | A? cos 27A(t, - t2)Pf(A) dd -00 Also find v(t) and v²(t).
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