Central Limit Theorems for Conditionally Linear Random Processes

Abstract

The work reported in the paper is part of Rand's broad studies of radar signal-processing methods. Models of radar clutter interference are developed which are both physically reasonable and more general than the usual Gaussian model or linear-process model. These are called conditionally linear processes. The major contribution of this paper is the development of simple conditions under which linear functionals of data generated by the model will have a Gaussian distribution. The result enables the computation of detection probabilities and false alarms for linear signal detectors.

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Document Details

Document Type
Technical Report
Publication Date
Jun 01, 1971
Accession Number
AD0735071

Entities

People

  • Percy A. Pierre

Organizations

  • RAND Corporation

Tags

Communities of Interest

  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Asymptotic Normality
  • Brownian Motion
  • Convergence
  • Corporations
  • Data Science
  • Distribution Functions
  • False Alarms
  • Filters
  • Integrals
  • Probability
  • Radar Clutter
  • Radar Signals
  • Random Variables
  • Sequences
  • Signal Processing
  • Stationary
  • White Noise

Readers

  • Mathematical Modeling and Probability Theory.
  • Radar Systems Engineering.
  • Systems Analysis and Design