Exact Operating Characteristics for Linear Sum of Envelopes of Narrowband Gaussian Process and Sinewave

Abstract

The characteristic function of a linear sum of M independent Rice variates is derived and evaluated exactly and then used in a numerical procedure to determine the exceedance distribution function, as a function of the threshold, the input signal-to-noise ratio, and M. Plots of the detection probability and false alarm probability for a wide range of signal-to-noise ratios are given, for values of M up to 8192. In addition, the required threshold values and input signal-to-ratios are tabulated and plotted for specific values of M, false alarm probability, and detection probability. A program and explanation are included for those users interested in extending results to their particular application.

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Document Details

Document Type
Technical Report
Publication Date
Jan 11, 1984
Accession Number
ADA139500

Entities

People

  • Albert H. Nuttall
  • Bill Dedreux

Organizations

  • Naval Underwater Systems Center

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Algorithms
  • Bessel Functions
  • Detection
  • Detectors
  • Distribution Functions
  • False Alarms
  • Gaussian Noise
  • Gaussian Processes
  • Hypergeometric Functions
  • Mass Storage
  • Narrowband
  • Power Series
  • Probability
  • Probability Density Functions
  • Random Variables
  • Signal Processing
  • Warning Systems

Readers

  • Computer Science.
  • Radar Systems Engineering.
  • Statistical inference.