Analytic Expressions for Radar Sea Clutter WSSUS Scattering Functions

Bello’s stochastic linear time-varying system theory has been widely used in the wireless communications literature to characterize multipath fading channel statistics. In the context of radar backscatter, this formulation allows for statistical characterization of distributed radar targets in range...

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Main Author: Corey Cooke
Format: Article
Language:English
Published: MDPI AG 2019-09-01
Series:Entropy
Subjects:
Online Access:https://www.mdpi.com/1099-4300/21/9/915
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author Corey Cooke
author_facet Corey Cooke
author_sort Corey Cooke
collection DOAJ
description Bello’s stochastic linear time-varying system theory has been widely used in the wireless communications literature to characterize multipath fading channel statistics. In the context of radar backscatter, this formulation allows for statistical characterization of distributed radar targets in range and Doppler using wide-sense stationary uncorrelated scattering (WSSUS) models. WSSUS models separate the channel from the effect of the waveform and receive filter, making it an ideal formulation for waveform design problems. Of particular interest in the radar waveform design community is the ability to suppress unwanted backscatter from the earth’s surface, known as clutter. Various methods for estimating WSSUS system functions have been studied in the literature, but to date no analytic expressions for radar surface clutter range-Doppler scattering functions exist. In this work we derive a frequency-selective generalization of the Jakes Doppler spectrum model, which is widely used in the wireless communications literature, adapt it for use in radar problems, and show how the maximum entropy method can be used to extend this model to account for internal clutter motion. Validation of the spectral and stationarity properties of the proposed model against a subset of the Australian Ingara sea clutter database is performed, and good agreement is shown.
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spelling doaj.art-4c086dd7b6db4e8682874721cbb1eaab2022-12-22T04:00:27ZengMDPI AGEntropy1099-43002019-09-0121991510.3390/e21090915e21090915Analytic Expressions for Radar Sea Clutter WSSUS Scattering FunctionsCorey Cooke0Applied Technology, Inc., King George, VA 22485, USABello’s stochastic linear time-varying system theory has been widely used in the wireless communications literature to characterize multipath fading channel statistics. In the context of radar backscatter, this formulation allows for statistical characterization of distributed radar targets in range and Doppler using wide-sense stationary uncorrelated scattering (WSSUS) models. WSSUS models separate the channel from the effect of the waveform and receive filter, making it an ideal formulation for waveform design problems. Of particular interest in the radar waveform design community is the ability to suppress unwanted backscatter from the earth’s surface, known as clutter. Various methods for estimating WSSUS system functions have been studied in the literature, but to date no analytic expressions for radar surface clutter range-Doppler scattering functions exist. In this work we derive a frequency-selective generalization of the Jakes Doppler spectrum model, which is widely used in the wireless communications literature, adapt it for use in radar problems, and show how the maximum entropy method can be used to extend this model to account for internal clutter motion. Validation of the spectral and stationarity properties of the proposed model against a subset of the Australian Ingara sea clutter database is performed, and good agreement is shown.https://www.mdpi.com/1099-4300/21/9/915airborne radarradar clutterradar signal processingstochastic systemstime-varying systemsmaximum entropy
spellingShingle Corey Cooke
Analytic Expressions for Radar Sea Clutter WSSUS Scattering Functions
Entropy
airborne radar
radar clutter
radar signal processing
stochastic systems
time-varying systems
maximum entropy
title Analytic Expressions for Radar Sea Clutter WSSUS Scattering Functions
title_full Analytic Expressions for Radar Sea Clutter WSSUS Scattering Functions
title_fullStr Analytic Expressions for Radar Sea Clutter WSSUS Scattering Functions
title_full_unstemmed Analytic Expressions for Radar Sea Clutter WSSUS Scattering Functions
title_short Analytic Expressions for Radar Sea Clutter WSSUS Scattering Functions
title_sort analytic expressions for radar sea clutter wssus scattering functions
topic airborne radar
radar clutter
radar signal processing
stochastic systems
time-varying systems
maximum entropy
url https://www.mdpi.com/1099-4300/21/9/915
work_keys_str_mv AT coreycooke analyticexpressionsforradarseaclutterwssusscatteringfunctions