Algorithm for solving a class of phaselockloop equations
Abstract
An algorithm for solving the nonlinear Volterra equation of an nthorder phaselock loop having all poles simple is presented. The unitstep response of the loop filter is expressed by a finite sum of exponential functions of time, which permits the integration from zero to t in the integral PLL equation to be avoided and yields simple recursive formulas for computing the time samples of the phase error. An illustrative example of the algorithm's application is given.
 Publication:

Electronics Letters
 Pub Date:
 March 1983
 DOI:
 10.1049/el:19830107
 Bibcode:
 1983ElL....19..153H
 Keywords:

 Feedback Control;
 Phase Detectors;
 Phase Locked Systems;
 Signal Processing;
 Volterra Equations;
 Algorithms;
 Nonlinear Equations;
 Phase Error;
 Recursive Functions;
 Transfer Functions;
 Electronics and Electrical Engineering