Pade approximations to matched filter amplitude probability functions

Performance analysis of echolocation systems requires the probability density function (pdf) or survival function of a matched filter output. A method is presented to derive approximations to these functions using a Pade approximation to their associated characteristic function (CF). The method is b...

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Bibliographic Details
Published in:IEEE transactions on aerospace and electronic systems 1999-07, Vol.35 (3), p.1033-1045, Article 1033
Main Author: Drumheller, D.M.
Format: Article
Language:English
Subjects:
Acoustics
Aircraft components
Approximation
Detectors
Electronic systems
Laboratories
Matched filters
Mathematical analysis
Mathematical models
Pade approximation
Performance analysis
Probability density function
Probability density functions
Random variables
Reverberation
Signal processing
Statistics
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Summary:Performance analysis of echolocation systems requires the probability density function (pdf) or survival function of a matched filter output. A method is presented to derive approximations to these functions using a Pade approximation to their associated characteristic function (CF). The method is based on the Hankel transform. It allows computation of detection probabilities when the matched filter responses to clutter and a target are separately known. Several numerical examples are presented.
ISSN:0018-9251
1557-9603
DOI:10.1109/7.784072