Accession Number : ADA136561

Title :   Calculation of Cumulative Distributions and Detection Probabilities in Communications and Optics.

Descriptive Note : Annual rept. 10 Jan 82-30 Sep 83,

Corporate Author : CALIFORNIA UNIV SAN DIEGO LA JOLLA DEPT OF ELECTRICAL ENGINEERING AND COMPUTER SCIENCES

Personal Author(s) : Helstrom,C W

PDF Url : ADA136561

Report Date : 17 Oct 1983

Pagination or Media Count : 42

Abstract : Methods were investigated for evaluating cumulative distributions of continuous random variables of known moment-generating function by numerical quadrature of a contour integral in the complex plane whose integrand involves that function. Applications so far treated were to the detection of radar signals, both fading and unfading, in receivers with constant threshold or with a variable threshold determined by a measurement of the ambient noise (constant-false-alarm-rate receivers), and to the distribution of the average power of a Gaussian random process. Similar methods were studied for finding the cumulative distributions of positive-integral valued random variables by a numerical contour integration involving their probability generating functions, with application to evaluating the distribution of the number of electrons at the output of a photomultiplier. (Author)

Descriptors :   *Numerical integration, *Computations, *Probability distribution functions, *Communication and radio systems, *Optics, Random variables, Radar signals, Detection, Ambient noise, Photoelectrons, Photomultiplier tubes, Numerical quadrature, Signal processing, Numerical methods and procedures

Subject Categories : Statistics and Probability
      Optics
      Non-radio Communications

Distribution Statement : APPROVED FOR PUBLIC RELEASE