Employing a Mixture of Rayleigh and Inverse Gaussian Distributions as SAR Clutter Texture Model in MAP Estimation for Efficient Speckle Suppression

This article proposes a speckle suppression technique based on a binary mixture of the Rayleigh and the reciprocal of Gaussian (RIG) distributions. This model suitably characterizes the texture of synthetic aperture radar (SAR) return from regions with varying degrees of roughness and captures the m...

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Main Authors: Dheeren Ku Mahapatra, Saurav Gupta, Biswajit Jena, Ravi Prakash Dwivedi
Format: Article
Language:English
Published: IEEE 2025-01-01
Series:IEEE Access
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Online Access:https://ieeexplore.ieee.org/document/11002505/
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author Dheeren Ku Mahapatra
Saurav Gupta
Biswajit Jena
Ravi Prakash Dwivedi
author_facet Dheeren Ku Mahapatra
Saurav Gupta
Biswajit Jena
Ravi Prakash Dwivedi
author_sort Dheeren Ku Mahapatra
collection DOAJ
description This article proposes a speckle suppression technique based on a binary mixture of the Rayleigh and the reciprocal of Gaussian (RIG) distributions. This model suitably characterizes the texture of synthetic aperture radar (SAR) return from regions with varying degrees of roughness and captures the multimodal behavior observed in extremely heterogeneous SAR clutter. We estimate the RIG mixture model parameters by maximum likelihood (ML) with the expectation maximization (EM) algorithm. We also obtain the Cr&#x00E1;mer-Rao Bounds (CRBs) for these estimators. Finally, we propose a maximum-a-posteriori (MAP) estimator for efficient despeckling by utilizing the RIG model as a prior distribution for the texture component. The accuracy of RIG-MAP estimation for texture is performed on single-look clutter data from actual sensors and multilook simulated clutter data. Qualitative and quantitative results on despeckling illustrate the effectiveness of the proposed MAP estimator in suppressing speckle while preserving mean, textural information, fine details, etc. Furthermore, the RIG-MAP estimator achieves superior performance compared to MMSE (minimum mean square error) - based Lee filter, Kuan filter, and MAP-based (such as <inline-formula> <tex-math notation="LaTeX">$\beta $ </tex-math></inline-formula>-MAP, <inline-formula> <tex-math notation="LaTeX">$\Gamma $ </tex-math></inline-formula>-MAP, CR-MAP, <inline-formula> <tex-math notation="LaTeX">$\mathcal {G}^{0}$ </tex-math></inline-formula>-MAP) estimators.
format Article
id doaj-art-a79a67c0b3dc4158af2f4434cd4e5849
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issn 2169-3536
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publishDate 2025-01-01
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spelling doaj-art-a79a67c0b3dc4158af2f4434cd4e58492025-08-20T01:53:04ZengIEEEIEEE Access2169-35362025-01-0113882558826710.1109/ACCESS.2025.356941711002505Employing a Mixture of Rayleigh and Inverse Gaussian Distributions as SAR Clutter Texture Model in MAP Estimation for Efficient Speckle SuppressionDheeren Ku Mahapatra0https://orcid.org/0000-0002-8151-1552Saurav Gupta1https://orcid.org/0000-0001-8028-547XBiswajit Jena2https://orcid.org/0000-0002-2659-3364Ravi Prakash Dwivedi3https://orcid.org/0000-0002-5946-8690School of Electronics Engineering, Vellore Institute of Technology, Chennai, Tamil Nadu, IndiaSchool of Electronics Engineering, Vellore Institute of Technology, Chennai, Tamil Nadu, IndiaCentre for Nanoelectronics and VLSI Design, Vellore Institute of Technology, Chennai, Tamil Nadu, IndiaSchool of Electronics Engineering, Vellore Institute of Technology, Chennai, Tamil Nadu, IndiaThis article proposes a speckle suppression technique based on a binary mixture of the Rayleigh and the reciprocal of Gaussian (RIG) distributions. This model suitably characterizes the texture of synthetic aperture radar (SAR) return from regions with varying degrees of roughness and captures the multimodal behavior observed in extremely heterogeneous SAR clutter. We estimate the RIG mixture model parameters by maximum likelihood (ML) with the expectation maximization (EM) algorithm. We also obtain the Cr&#x00E1;mer-Rao Bounds (CRBs) for these estimators. Finally, we propose a maximum-a-posteriori (MAP) estimator for efficient despeckling by utilizing the RIG model as a prior distribution for the texture component. The accuracy of RIG-MAP estimation for texture is performed on single-look clutter data from actual sensors and multilook simulated clutter data. Qualitative and quantitative results on despeckling illustrate the effectiveness of the proposed MAP estimator in suppressing speckle while preserving mean, textural information, fine details, etc. Furthermore, the RIG-MAP estimator achieves superior performance compared to MMSE (minimum mean square error) - based Lee filter, Kuan filter, and MAP-based (such as <inline-formula> <tex-math notation="LaTeX">$\beta $ </tex-math></inline-formula>-MAP, <inline-formula> <tex-math notation="LaTeX">$\Gamma $ </tex-math></inline-formula>-MAP, CR-MAP, <inline-formula> <tex-math notation="LaTeX">$\mathcal {G}^{0}$ </tex-math></inline-formula>-MAP) estimators.https://ieeexplore.ieee.org/document/11002505/SAR clutter amplitudespeckleRayleigh-inverse Gaussian mixture modelexpectation-maximization
spellingShingle Dheeren Ku Mahapatra
Saurav Gupta
Biswajit Jena
Ravi Prakash Dwivedi
Employing a Mixture of Rayleigh and Inverse Gaussian Distributions as SAR Clutter Texture Model in MAP Estimation for Efficient Speckle Suppression
IEEE Access
SAR clutter amplitude
speckle
Rayleigh-inverse Gaussian mixture model
expectation-maximization
title Employing a Mixture of Rayleigh and Inverse Gaussian Distributions as SAR Clutter Texture Model in MAP Estimation for Efficient Speckle Suppression
title_full Employing a Mixture of Rayleigh and Inverse Gaussian Distributions as SAR Clutter Texture Model in MAP Estimation for Efficient Speckle Suppression
title_fullStr Employing a Mixture of Rayleigh and Inverse Gaussian Distributions as SAR Clutter Texture Model in MAP Estimation for Efficient Speckle Suppression
title_full_unstemmed Employing a Mixture of Rayleigh and Inverse Gaussian Distributions as SAR Clutter Texture Model in MAP Estimation for Efficient Speckle Suppression
title_short Employing a Mixture of Rayleigh and Inverse Gaussian Distributions as SAR Clutter Texture Model in MAP Estimation for Efficient Speckle Suppression
title_sort employing a mixture of rayleigh and inverse gaussian distributions as sar clutter texture model in map estimation for efficient speckle suppression
topic SAR clutter amplitude
speckle
Rayleigh-inverse Gaussian mixture model
expectation-maximization
url https://ieeexplore.ieee.org/document/11002505/
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