DocumentCode
847214
Title
Efficient computation of the circular error probability (CEP) integral
Author
Shnidman, David A.
Author_Institution
Lincoln Lab., MIT, Lexington, MA, USA
Volume
40
Issue
8
fYear
1995
fDate
8/1/1995 12:00:00 AM
Firstpage
1472
Lastpage
1474
Abstract
A novel method for evaluating the circular error probability (CEP) integral using a recurrence relation is presented. This approach is highly efficient, accurate, and reliable. It can easily be used, in conjunction with the Newton-Raphson iteration, to determine the CEP. The CEP expressions have been generalized elsewhere to include correlation between x and y coordinate measurements. Since modern guidance and control techniques have greatly improved accuracy, we may also wish to generalize the 0.5 probability associated with the CEP to some other value, P. These generalizations are included in the presented technique
Keywords
Newton-Raphson method; correlation methods; error statistics; navigation; probability; Newton-Raphson iteration; circular error probability integral; correlation; error probability; probability distribution; recurrence relation; Coordinate measuring machines; Error probability; Integral equations; Mathematics; Measurement errors; Navigation; Probability distribution; Random variables; Statistics; Vehicles;
fLanguage
English
Journal_Title
Automatic Control, IEEE Transactions on
Publisher
ieee
ISSN
0018-9286
Type
jour
DOI
10.1109/9.402244
Filename
402244
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