Pade approximations to matched filter amplitude probability functions

Author

Drumheller, D.M.

Author_Institution

Acoust. Div., Naval Res. Lab., Washington, DC, USA

Volume

35

Issue

3

fYear

1999

fDate

7/1/1999 12:00:00 AM

Firstpage

1033

Lastpage

1045

Abstract

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

Keywords

Hankel transforms; approximation theory; interpolation; log normal distribution; matched filters; radar clutter; radar detection; Hankel transform; Pade approximations; characteristic function; convolution; detection probabilities; echolocation systems; interpolation; log normal clutter model; matched filter amplitude probability functions; moment matching; performance analysis; pole splitting; probability density function; response to clutter; survival function; target fluctuation models; Acoustics; Detectors; Laboratories; Matched filters; Performance analysis; Probability density function; Random variables; Reverberation; Signal processing; Statistics;

fLanguage

English

Journal_Title

Aerospace and Electronic Systems, IEEE Transactions on

Publisher

ieee

ISSN

0018-9251

Type

jour

DOI

10.1109/7.784072

Filename

784072