NDLI: Probability of detection for $χ^{2}$ radar target in Weibull clutter

Content Provider	IEEE Xplore Digital Library
Author	Ephrath, A. Eshcoli, Z. Berkowitz, F.
Copyright Year	2011
Description	Author affiliation: PO Box 2250 (88), Haifa 31021, Rafael, Israel (Ephrath, A.; Eshcoli, Z.; Berkowitz, F.)
Abstract	This article presents a method for calculating the threshold level and probability of detection of $χ^{2}$ radar targets, in the presence of Weibull clutter. It is based on mathematical models for general $χ^{2}$ targets [1], of which the four Swerling models are special cases. The model used for the clutter, including both the ground reflection variations and near ground propagation effects, has Weibull distribution [2]. Assuming the returns of the clutter are so distributed, the distribution parameters can either be estimated by the land type, or calculated from clutter measurements. Using these parameters, an expression is obtained for the probability of false alarm, Pfa, for a given single pulse threshold T1. This is inverted to provide an expression for the threshold T1 for any given Pfa. The probability density function (pdf) for target + clutter, assuming the two are uncorrelated, is the convolution of the two marginal pdf's. This density is given in an integral form that has no known analytical solution [3]. However, using the expression for this pdf, probability of detection, Pd, is expressed as a definite integral with finite limits of this pdf. Using advanced mathematical software, e.g. Matlab®, the definite double integral for Pd is numerically calculated. Simplification and generalization of the convolution formula via normalization, and some computational results conclude the presentation. These computations, without the need for tables and graphs, enable the researcher to use it conveniently in system performance evaluations as well as in scenario simulations for given environments as required.
Starting Page	1
Ending Page	5
File Size	240002
Page Count	5
File Format	PDF
ISBN	9781457716928
e-ISBN	9781457716942
DOI	10.1109/COMCAS.2011.6105798
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2011-11-07
Publisher Place	Israel
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Radar cross section $χ^{2}$ target Radar detection Probability density function Weibull distribution Mathematical model Clutter Binary integration
Content Type	Text
Resource Type	Article

Sl.	Authority	Responsibilities	Communication Details
1	Ministry of Education (GoI), Department of Higher Education	Sanctioning Authority	https://www.education.gov.in/ict-initiatives
2	Indian Institute of Technology Kharagpur	Host Institute of the Project: The host institute of the project is responsible for providing infrastructure support and hosting the project	https://www.iitkgp.ac.in
3	National Digital Library of India Office, Indian Institute of Technology Kharagpur	The administrative and infrastructural headquarters of the project	Dr. B. Sutradhar bsutra@ndl.gov.in
4	Project PI / Joint PI	Principal Investigator and Joint Principal Investigators of the project	Dr. B. Sutradhar bsutra@ndl.gov.in Prof. Saswat Chakrabarti will be added soon
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