PULL-IN PERFORMANCE OF FIRST-ORDER PHASELOCKED LOOPS

Abstract

A phase-locked loop is briefly described, together with the derivation of the basic differential equation which governs the dynamic behavior of the loop during the pull-in process. The special case of the pull-in process of the first-order loop when a sine wave of constant frequency is applied to the input of the loop is also described. The relationship between the frequency mistuning of the loop, the initial starting phase angle of the input sine wave, and the time required for the loop to pull in is discussed. The statistical parameters associated with the pull-in time is reviewed. In particular, expressions are given for the probability density function of the pull-in time and the cumulative distribution of the pull-in time.

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Document Details

Document Type
Technical Report
Publication Date
Feb 01, 1965
Accession Number
AD0611878

Entities

People

  • Peter Bratt

Organizations

  • MITRE Corporation

Tags

Communities of Interest

  • Space

DTIC Thesaurus Topics

  • Abstracts
  • Air Force
  • Amplifiers
  • Amplitude
  • Communication Systems
  • Contracts
  • Detectors
  • Differential Equations
  • Equations
  • Frequency
  • Low Pass Filters
  • Oscillators
  • Phase Detectors
  • Probability
  • Probability Distributions
  • Sine Waves
  • Voltage Controlled Oscillators

Readers

  • Control Systems Engineering.
  • Plasma Physics / Magnetohydrodynamics