Algorithm for solving a class of phase-lock-loop equations
Abstract
An algorithm for solving the nonlinear Volterra equation of an nth-order phase-lock loop having all poles simple is presented. The unit-step 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