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2-D Rayleigh autoregressive moving average model for SAR image modeling
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- Palm, Bruna (author)
- Blekinge Tekniska Högskola,Institutionen för matematik och naturvetenskap
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- Bayer, Fabio M. (author)
- Universidade Federal de Santa Maria, BRA
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- Cintra, Renato J. (author)
- Universidade Federal Pernambuco, BRA
- (creator_code:org_t)
- Elsevier B.V. 2022
- 2022
- English.
- In: Computational Statistics & Data Analysis. - : Elsevier B.V.. - 0167-9473 .- 1872-7352. ; 171
- Journal article (peer-reviewed)
Abstract
Subject headings
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- Two-dimensional (2-D) autoregressive moving average (ARMA) models are commonly applied to describe real-world image data, usually assuming Gaussian or symmetric noise. However, real-world data often present non-Gaussian signals, with asymmetrical distributions and strictly positive values. In particular, SAR images are known to be well characterized by the Rayleigh distribution. In this context, the ARMA model tailored for 2-D Rayleigh-distributed data is introduced—the 2-D RARMA model. The 2-D RARMA model is derived and conditional likelihood inferences are discussed. The proposed model was submitted to extensive Monte Carlo simulations to evaluate the performance of the conditional maximum likelihood estimators. Moreover, in the context of SAR image processing, two comprehensive numerical experiments were performed comparing anomaly detection and image modeling results of the proposed model with traditional 2-D ARMA models and competing methods in the literature. © 2022 The Authors
Subject headings
- TEKNIK OCH TEKNOLOGIER -- Elektroteknik och elektronik -- Reglerteknik (hsv//swe)
- ENGINEERING AND TECHNOLOGY -- Electrical Engineering, Electronic Engineering, Information Engineering -- Control Engineering (hsv//eng)
Keyword
- Anomaly detection
- ARMA modeling
- Rayleigh distribution
- SAR images
- Two-dimensional models
- Gaussian distribution
- Gaussian noise (electronic)
- Intelligent systems
- Maximum likelihood estimation
- Monte Carlo methods
- Numerical methods
- Synthetic aperture radar
- Autoregressive Moving Average modeling
- Gaussians
- Image modeling
- Rayleigh
- Rayleigh distributions
- Real-world image data
- Two Dimensional (2 D)
- Two dimensional model
- Radar imaging
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- ref (subject category)
- art (subject category)
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