Phase-Lock Loop Characteristics in the Presence of Nonwhite Noise for Bandpass Types of Modulating Spectra

In this concise paper the phase-lock loop (PLL) steady state characteristics for bandpass types of modulating spectra are determined. The usual assumption that the intermediate frequency (IF) bandwidth is wide compared with PLL bandwidth is not made. The characteristics are determined from measurements on an experimental system and from theoretical calculations using a quasi-linear model (QLM) of the PLL. Experimental data are compared to theoretical data to determine the accuracy of the QLM over the PLL parameter space. The experimental results are used to provide design data and to arrive at conclusions concerning threshold, multiplier output variance, phase error variance, output signal-to-noise ratio, and signal distortion.