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The application of the Hankel transformation to spherically symmetric coverage problems

Published online by Cambridge University Press:  14 July 2016

Gerhard Schroeter
Gerhard Schroeter*
Affiliation:
Industrieanlagen-Betriebsgesellschaft mbH
*
∗Postal address: Industrieanlagen-Betriebsgesellschaft mbH, Einsteinstrasse 20, 8012 Ottobrunn, W. Germany.
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Abstract

We derive an integral expression for the expected coverage of an n-dimensional target when the value density function of the target, the damage function, and the distribution of the damage function center around the target center are spherically symmetric. This integral expression is transformed by means of Parseval's theorem for Hankel transforms to an integral of the product of the Hankel transforms of order ½n − 1 of all underlying functions.

Keywords

HANKEL TRANSFORMEXPECTED COVERAGERANDOM WALKCHARACTERISTIC FUNCTIONSYSTEM BIASWEAPON SYSTEMS ANALYSIS
Type
Short Communications
Information
Journal of Applied Probability , Volume 17 , Issue 4 , December 1980 , pp. 1121 - 1126
Copyright
Copyright © Applied Probability Trust 

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