Determining probability density function


Assignment:

Viterbi [8] determined that the probability density function of the output phase of a first-order phase-locked loop disturbed by white Gaussian noise is given by

Demonstrate that p(φ) given above is in fact a probability density function, and com-pute the mean and variance of φ.

Provide complete and step by step solution for the question and show calculations and use formulas.

 

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