Question

Consider a sinusoidal signal with random phase, defined by x(t)=Acos(2πfct+θ), where A and FC are constant and θ is a random variable uniform distributed over interval [-π,π], that is f(θ)={█(1/2π,&-π≤θ≤π@0,&elsewhere)┤ Describe the autocorrelation RX(τ

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Consider a sinusoidal signal with random phase, defined by

 , where A and FC are constant and  is a random variable uniform distributed over interval [-, that is

a)    Describe the autocorrelation RX of a sinusoidal wave X(t)

b)    Describe the power spectral density SX of a sinusoidal wave X(t)

Consider a sinusoidal signal with random phase, defined by

 , where A and FC are constant and  is a random variable uniform distributed over interval [-, that is

a)    Describe the autocorrelation RX of a sinusoidal wave X(t)

b)    Describe the power spectral density SX of a sinusoidal wave X(t)


Consider a sinusoidal signal with random phase, defined by

 , where A and FC are constant and  is a random variable uniform distributed over interval [-, that is

a)    Describe the autocorrelation RX of a sinusoidal wave X(t)

b)    Describe the power spectral density SX of a sinusoidal wave X(t)


Consider a sinusoidal signal with random phase, defined by

 , where A and FC are constant and  is a random variable uniform distributed over interval [-, that is

a)    Describe the autocorrelation RX of a sinusoidal wave X(t)

b)    Describe the power spectral density SX of a sinusoidal wave X(t)




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Consider a sinusoidal signal with random phase, defined by x(t)=Acos(2πfct+θ), where A and FC are constant and θ is a random variable uniform distributed over interval [-π,π], that is f(θ)={█(1/2π,&-π≤θ≤π@0,&elsewhere)┤ Describe the autocorrelation RX(τ
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