A METHOD FOR COMPUTING THE GENERALIZED CIRCULAR ERROR FUNCTION AND THE CIRCULAR COVERAGE FUNCTION

Abstract

An efficient method is described for the numerical evaluation by a high speed digital computer of: the integral of an uncorrelated elliptical Gaussian distribution over a circle centered at the mean of the distribution, V(K,c); the integral of a circular Gaussian distribution over a circle offset from the mean of the distribution, P(R,d). The methods are programmed for both the NORC and the IBM 7090. They yield 6 decimal digit accuracy with an average computation time of 10 milliseconds per case on NORC and 6 milliseconds on the 7090. Two extensive inverse tables are included. One gives the radius K as a function V and c, and the other gives the radius R as a function of P and d.

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Document Details

Document Type
Technical Report
Publication Date
Jan 23, 1962
Accession Number
AD0270739

Entities

People

  • A. R. Didonato
  • M. P. Jarnagin

Organizations

  • Naval Surface Warfare Center Dahlgren Division

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  • Weapons Technologies

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  • Accuracy
  • Applied Mathematics
  • Asymptotic Series
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  • Computer Science.
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