ANALYSIS OF THE SYNCHRONIZATION OF AN AUTOMATIC PHASE CONTROL SYSTEM,

Abstract

In this report approximation techniques are developed that predict the ranges of system parameters for which a phase-locked loop synchronizes to a sinusoidal input of constant frequency. These analytic methods are also presented as step-by-step procedures that might be useful for solving other problems of nonlinear oscillations. The differential equation is derived for the phase-locked loop with sinusoidal phase comparator. Synchronization is defined and examined for several phase-locked loops with different filters. Other factors which determine the performance of phase-locked loops are discussed. These include the pull-in time, the noise bandwidth, and the stability of synchronized loops. Finally, experimental model phase-locked loops are compared with the idealized loop. Typical values of components and measured values of performances are presented.

Document Details

Document Type
Technical Report
Publication Date
Nov 25, 1964
Accession Number
AD0610691

Entities

People

  • Theodore S. Baker

Organizations

  • Harvard University

Tags

DTIC Thesaurus Topics

  • Automatic
  • Bandwidth
  • Comparators
  • Control Systems
  • Differential Equations
  • Equations
  • Frequency
  • Frequency Bands
  • Mathematics
  • Oscillation
  • Phase Control

Readers

  • Control Systems Engineering.