Operating Characteristics for Detection of a Fading Signal in M Alternative Locations with D-Fold Diversity.

Abstract

The probabilities of correct decision and false alarm for a fading signal in M alternative locations with D-fold diversity are derived and numerically evaluated over the range of values M = 1, 2, 4, 16, 64, 256, 1024 and D = 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64 for a wide range of signal-energy-to-noise-density-level ratios (ENR). These results which apply to the optimum receiver processor, have relevance to synchronization as well as to multiple alternative communication with thresholding. It is found that the optimum order of diversity does not correspond to the familiar 5 dB ENR per branch, but rather to ENR branch values as large as 14 dB for some cases of small false-alarm probability and moderate correct-decision probability.

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Document Details

Document Type
Technical Report
Publication Date
Aug 20, 1974
Accession Number
AD0786371

Entities

People

  • Albert H. Nuttall

Organizations

  • Naval Undersea Warfare Center

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Bandwidth
  • Detection
  • Distribution Functions
  • Error Analysis
  • Errors
  • False Alarms
  • Filters
  • Frequency
  • Frequency Shift
  • Matched Filters
  • Materials
  • Narrowband
  • Power Levels
  • Probability
  • Probability Density Functions
  • Random Variables
  • Signal Processing

Readers

  • Neurological Diseases/Conditions/Disorders
  • Radio communications and signal processing.
  • Systems Analysis and Design