SUPPRESSION OF NOISE EFFECTS IN PULSE WIDTH MODULATED SYSTEMS,

Abstract

Investigation is made of a sampled data feedback system, consisting of a lead type pulse width modulator, a general (n-th order), linear, timeinvariant plant, and unity feedback. The closed loop system is assumed to be stable, and it is assumed that plant time constants are of the order of, or shorter than, the pulsing period. The modulator is assumed to be imperfect (noisy), in that it emits pulses, the durations of which differ from the correct values. The deviation of the pulse width is assumed to be a Gaussian random variable with zero mean and a given standard deviation, and it is assumed that there is no correlation between samples at different sampling instants. Equations are derived which predict the probability distribution of the plant output after any number of sampling instants. (Author)

Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1964
Accession Number
AD0437495

Entities

People

  • H. J. Stein

Organizations

  • University of Illinois Urbana–Champaign

Tags

DTIC Thesaurus Topics

  • Closed Loop Systems
  • Equations
  • Feedback
  • Mathematics
  • Modulators
  • Probability
  • Probability Distributions
  • Random Variables
  • Sampling
  • Standards

Fields of Study

  • Physics

Readers

  • Approximation Theory.
  • Electrical Engineering
  • Regression Analysis.