Optimization of Radar Parameters for Maximum Detection Probability Under Generalized Discrete Clutter Conditions Using Stochastic Geometry

We propose an analytical framework based on stochastic geometry (SG) formulations to estimate a radar's detection performance under generalized discrete clutter conditions. We model the spatial distribution of discrete clutter scatterers as a homogeneous Poisson point process and the rada...

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Autores principales:	Shobha Sundar Ram, Gaurav Singh, Gourab Ghatak
Formato:	article
Lenguaje:	EN
Publicado:	IEEE 2021
Materias:	Stochastic geometry radar detection FDTD Monte Carlo simulations indoor clutter Poisson point process Electrical engineering. Electronics. Nuclear engineering TK1-9971
Acceso en línea:	https://doaj.org/article/366a8b58b3a4429493019bc65592ccde
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spelling	oai:doaj.org-article:366a8b58b3a4429493019bc65592ccde2021-11-18T00:11:37ZOptimization of Radar Parameters for Maximum Detection Probability Under Generalized Discrete Clutter Conditions Using Stochastic Geometry2644-132210.1109/OJSP.2021.3121199https://doaj.org/article/366a8b58b3a4429493019bc65592ccde2021-01-01T00:00:00Zhttps://ieeexplore.ieee.org/document/9580712/https://doaj.org/toc/2644-1322We propose an analytical framework based on stochastic geometry (SG) formulations to estimate a radar's detection performance under generalized discrete clutter conditions. We model the spatial distribution of discrete clutter scatterers as a homogeneous Poisson point process and the radar cross-section of each extended scatterer as a random variable of the Weibull distribution. Using this framework, we derive a metric called the radar detection coverage probability as a function of radar parameters such as transmitted power, system noise temperature and radar bandwidth; and clutter parameters such as clutter density and mean clutter cross-section. We derive the optimum radar bandwidth for maximizing this metric under noisy and cluttered conditions. We also derive the peak transmitted power beyond which there will be no discernible improvement in radar detection performance due to clutter limited conditions. When both transmitted power and bandwidth are fixed, we show how the detection threshold can be optimized for best performance. We experimentally validate the SG results with a hybrid of Monte Carlo and full wave electromagnetic solver based simulations using finite difference time domain (FDTD) techniques.Shobha Sundar RamGaurav SinghGourab GhatakIEEEarticleStochastic geometryradar detectionFDTDMonte Carlo simulationsindoor clutterPoisson point processElectrical engineering. Electronics. Nuclear engineeringTK1-9971ENIEEE Open Journal of Signal Processing, Vol 2, Pp 571-585 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	Stochastic geometry radar detection FDTD Monte Carlo simulations indoor clutter Poisson point process Electrical engineering. Electronics. Nuclear engineering TK1-9971
spellingShingle	Stochastic geometry radar detection FDTD Monte Carlo simulations indoor clutter Poisson point process Electrical engineering. Electronics. Nuclear engineering TK1-9971 Shobha Sundar Ram Gaurav Singh Gourab Ghatak Optimization of Radar Parameters for Maximum Detection Probability Under Generalized Discrete Clutter Conditions Using Stochastic Geometry
description	We propose an analytical framework based on stochastic geometry (SG) formulations to estimate a radar's detection performance under generalized discrete clutter conditions. We model the spatial distribution of discrete clutter scatterers as a homogeneous Poisson point process and the radar cross-section of each extended scatterer as a random variable of the Weibull distribution. Using this framework, we derive a metric called the radar detection coverage probability as a function of radar parameters such as transmitted power, system noise temperature and radar bandwidth; and clutter parameters such as clutter density and mean clutter cross-section. We derive the optimum radar bandwidth for maximizing this metric under noisy and cluttered conditions. We also derive the peak transmitted power beyond which there will be no discernible improvement in radar detection performance due to clutter limited conditions. When both transmitted power and bandwidth are fixed, we show how the detection threshold can be optimized for best performance. We experimentally validate the SG results with a hybrid of Monte Carlo and full wave electromagnetic solver based simulations using finite difference time domain (FDTD) techniques.
format	article
author	Shobha Sundar Ram Gaurav Singh Gourab Ghatak
author_facet	Shobha Sundar Ram Gaurav Singh Gourab Ghatak
author_sort	Shobha Sundar Ram
title	Optimization of Radar Parameters for Maximum Detection Probability Under Generalized Discrete Clutter Conditions Using Stochastic Geometry
title_short	Optimization of Radar Parameters for Maximum Detection Probability Under Generalized Discrete Clutter Conditions Using Stochastic Geometry
title_full	Optimization of Radar Parameters for Maximum Detection Probability Under Generalized Discrete Clutter Conditions Using Stochastic Geometry
title_fullStr	Optimization of Radar Parameters for Maximum Detection Probability Under Generalized Discrete Clutter Conditions Using Stochastic Geometry
title_full_unstemmed	Optimization of Radar Parameters for Maximum Detection Probability Under Generalized Discrete Clutter Conditions Using Stochastic Geometry
title_sort	optimization of radar parameters for maximum detection probability under generalized discrete clutter conditions using stochastic geometry
publisher	IEEE
publishDate	2021
url	https://doaj.org/article/366a8b58b3a4429493019bc65592ccde
work_keys_str_mv	AT shobhasundarram optimizationofradarparametersformaximumdetectionprobabilityundergeneralizeddiscreteclutterconditionsusingstochasticgeometry AT gauravsingh optimizationofradarparametersformaximumdetectionprobabilityundergeneralizeddiscreteclutterconditionsusingstochasticgeometry AT gourabghatak optimizationofradarparametersformaximumdetectionprobabilityundergeneralizeddiscreteclutterconditionsusingstochasticgeometry
_version_	1718425154229370880

Optimization of Radar Parameters for Maximum Detection Probability Under Generalized Discrete Clutter Conditions Using Stochastic Geometry

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