O A random process is given by X(t) =P+Q cos(@t+ 0) where P, Q are independent random ables. The mean and variance of distribution of random variable P are 0 and 25 respectively. mean and variance of distribution of random variable Q are 0, 36 respectively. The angular uency o is constant and 0 is independent of X(t). The PDF of 0 is given by f(0) = 1

O A random process is given by X(t) =P+Q cos(@t+ 0) where P, Q are independent random ables. The mean and variance of distribution of random variable P are 0 and 25 respectively. mean and variance of distribution of random variable Q are 0, 36 respectively. The angular uency o is constant and 0 is independent of X(t). The PDF of 0 is given by f(0) = 1

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015

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ISBN:9781680331141

Author:HOUGHTON MIFFLIN HARCOURT

Publisher:HOUGHTON MIFFLIN HARCOURT

Chapter4: Writing Linear Equations

Section: Chapter Questions

Problem 12CR

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Question

Q5) A random process is given by X(t) =P+ Q cos(@t+ 0) where P, Q are independent random
variables. The mean and variance of distribution of random variable P are 0 and 25 respectively.
The mean and variance of distribution of random variable Q are 0, 36 respectively. The angular
frequency o is constant and 0 is independent of X(t). The PDF of 0 is given by f(0) =
1
2n
1/2 <0< 31/2. Prove that the random process X(t) is a wide sense stationary random
process.

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