Signal Design for Efficient Detection in Randomly Dispersive Media,

Abstract

The optimum structure of a signal to be transmitted over a randomly time-varying and frequency-selective medium is investigated. A model is developed that treats the medium as a randomly time-varying linear filter. By viewing the filter's transfer function as a homogeneous random field on the time-frequency plane, a second-order theory results that relates various second-order measures of the time and frequency structures of input and output processes. A Neyman-Pearson detector is assumed, and a signal-design strategy, based on the asymptotic behavior of the false-dismissal probability when the detector is presented with a sequence of observations of the medium output, is developed. This approach leads to the strategy of maximizing the Kullback-Leibler information number. It is shown that this criterion minimizes the false-dismissal probability for any reasonable false-alarm probability when the medium satisfies Price's 'low-energy coherence' condition.

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Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1966
Accession Number
ADA036317

Entities

People

  • Robert F. Daly

Organizations

  • SRI International

Tags

Communities of Interest

  • Advanced Electronics
  • Air Platforms
  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Buildings And Structures
  • Detection
  • Detectors
  • Electronics
  • False Alarms
  • Frequency
  • New York
  • Probability
  • Transfer Functions
  • Warning Systems

Fields of Study

  • Engineering

Readers

  • Radar Systems Engineering.
  • Statistical inference.
  • Wave Propagation and Nonlinear Chaotic Dynamics.