Abstract

AbstractThis paper presents a numerical analysis method for the lock range, with respect to the desired signal, of a PLL with two input signals, one being the desired signal and the other an interfering signal. We first consider the phase comparator using a multiplier and determine the model for analysis of the PLL with two unmodulated and noiseless input signals. Next, using harmonic analysis of the nonlinear differential equation derived from this model, we present a method of computing the periodic solution generated by the interfering signal within the PLL. In this numerical computation the detuning of the desired signal is determined as the dc component of the solution, and the stability limits of the periodic solution become the lock range. Finally, we determine the lock range as a function of the amplitude ratio of the desired and interfering signals. Computed examples are presented for appropriate parameters and the results are found to match the experimental data.

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