Consider a random sinusoidal process of the form X (t) bcos (2ft ), where has an arbitrary PDF f(), Analytically determine how the PSD of X (t) depends on f() Give an intuitive explanation for your result ...

R XX t t Eb 2 cos t cos t b 2 2cos b 2 2 Ecos 2t 2 R XX h ...

Consider a random sinusoidal process of the form X (t) = bcos (2ft + ), where

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Consider a random sinusoidal process of the form X (t) = bcos (2πft + θ), where θ has an arbitrary PDF fθ(θ), . Analytically determine how the PSD of X (t) depends on fθ(θ). Give an intuitive explanation for your result.

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Probability and Random Processes With Applications to Signal Processing and Communications

ISBN: 978-0123869814

2nd edition

Authors: Scott Miller, Donald Childers

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Question Posted: Nov 20, 2015 12:11 AM

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Consider a random sinusoidal process of the form X (t) = bcos (2ft + ), where

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Probability and Random Processes With Applications to Signal Processing and Communications

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