Analysis of a Phase-Locked Loop and a General Feedback System with a Limiter.

Abstract

A phase-locked loop (PLL) with a hard limiter and wide-band noise input is analyzed. A powerful method introduced in Kushner's 'Diffusion approximations to output processes of nonlinear systems with wide band inputs, and applications' for obtaining a close diffusion approximation to a system with the limiter greatly improves the tracking and acquisition properties over the classical PLL. This is demonstrated theoretically and supported by simulation results. Similar results hold for a standard feedback control problem with a limiter at the beginning of the forward loop. The results are a clear demonstration of the value of the new techniques of analysis which are employed. The techniques are applicable to other communications systems with nonlinearities and wide-band inputs. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Oct 01, 1979
Accession Number
ADA080357

Entities

People

  • Harold J. Kushner
  • Y. Bar-ness

Organizations

  • Brown University

Tags

Communities of Interest

  • C4I
  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Abstracts
  • Acquisition
  • Applied Mathematics
  • Closed Loop Systems
  • Convergence
  • Diffusion
  • Electrical Engineering
  • Equations
  • Feedback
  • Gaussian Noise
  • Gaussian Processes
  • Integrals
  • Mathematics
  • Nonlinear Systems
  • Sequences
  • Simulations
  • Theorems

Fields of Study

  • Physics

Readers

  • Adaptive Control and Estimation with Uncertainty in Dynamic Systems.
  • Radio communications and signal processing.