Analyzing second-order phase-locked loop


Assignment:

Consider a second-order phase-locked loop with a low-pass loop filter

During aided acquisition it is desired that this loop be scanned throughout a 1000-radian uncertainty region in 1 s. If the relationship between loop gain and filter constant is K0 = 2w1, what is the required relationship between loop gain and the single-sided additive white Gaussian noise power spectral density, N0? Determine the largest value of N0 that can be accommodated.

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

 

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