descriptionPublicationkeyboard_double_arrow_right Article , Preprint 01 Oct 2018Embargo end date: 01 Jan 2018 English Publisher:Elsevier BVJournal:Computers & Geosciences, volume 119, pages 109-114 (issn: 0098-3004,

Authors: Diego F. G. Coelho; Alejandro C. Frery; Vassil S. Dimitrov; Renato J. Cintra; Renato J. Cintra;

doi: 10.1016/j.cageo.2018.07.002 , 10.48550/arxiv.1807.08084

arXiv: http://arxiv.org/abs/1807.08084

handle: 10553/50285

Fast matrix inversion and determinant computation for Polarimetric Synthetic Aperture Radar

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Abstract

This paper introduces a fast algorithm for simultaneous inversion and determinant computation of small sized matrices in the context of fully Polarimetric Synthetic Aperture Radar (PolSAR) image processing and analysis. The proposed fast algorithm is based on the computation of the adjoint matrix and the symmetry of the input matrix. The algorithm is implemented in a general purpose graphical processing unit (GPGPU) and compared to the usual approach based on Cholesky factorization. The assessment with simulated observations and data from an actual PolSAR sensor show a speedup factor of about two when compared to the usual Cholesky factorization. Moreover, the expressions provided here can be implemented in any platform.

7 pages, 1 figure

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Keywords

Signal Processing (eess.SP), FOS: Computer and information sciences, Matrix inversion, Determinant, PolSAR, Numerical Analysis (math.NA), Statistics - Computation, Fast algorithms, Computer Science - Data Structures and Algorithms, FOS: Mathematics, FOS: Electrical engineering, electronic engineering, information engineering, Data Structures and Algorithms (cs.DS), Mathematics - Numerical Analysis, Electrical Engineering and Systems Science - Signal Processing, 1203 Ciencia de los ordenadores, Computation (stat.CO)

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