Stationary Point Processes and Applications to Communications and Logistic Systems.

Abstract

The research has proceeded along three distinct lines. (1) The behavior of closed loop control systems with randomly timed sampling within the feedback loop. Random sampling in a feedback context occurs in systems with a controller consisting of a time shared computer, control systems with imperfect samplers, and remote control whose feedback function is performed at a distance via a pulse coded transmission link. (2) Recovery of data from samples taken at random intervals, including time-multiplexed communication systems and real-time digital handling of data. (3) The applicability of martingale theory to stochastic point processes. In particular, the Doob decomposition for continuous-parameter supermartingales which is crucial to the modern theory of detection and estimation of stochastic signals corrupted by additive white noise. (Author Modified Abstract)

Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1973
Accession Number
AD0758281

Entities

People

  • Frederick J. Beutler

Organizations

  • University of Michigan

Tags

Communities of Interest

  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Abstracts
  • Additives (Chemicals)
  • Communication Systems
  • Computers
  • Control Systems
  • Decomposition
  • Detection
  • Feedback
  • Intervals
  • Noise
  • Recovery
  • Sampling
  • Statistical Sampling
  • White Noise

Readers

  • Computer Science/Computer Engineering/Data Science/Digital Signal Processing.
  • Mathematical Modeling and Probability Theory.
  • Statistical inference.