A tensor decomposition based multiway structured sparse SAR imaging algorithm with Kronecker constraint
type: Item
instance of: scholarly article
title: A tensor decomposition based multiway structured sparse SAR imaging algorithm with Kronecker constraint
zbMATH Open document ID: 1461.94008
author: Y. Aharonov
published in: Algorithms
publication date: 2018-08-20T00:00:00Z
review text: Summary: This paper investigates a structured sparse SAR imaging algorithm for point scattering model based on tensor decomposition. Several SAR imaging schemes have been developed by researchers for improving the imaging quality. For a typical SAR target scenario, the scatterers distribution usually has the feature of structured sparsity. Without considering this feature thoroughly, the existing schemes have still certain drawbacks. The classic matching pursuit algorithms can obtain clearer imaging results, but the cost is resulting in an extreme complexity and a huge computation resource consumption. Therefore, this paper put forward a tensor-based SAR imaging algorithm by means of multiway structured sparsity which makes full use of the above geometrical feature of the scatterers distribution. The spotlight SAR observation signal is formulated as a Tucker model considering the Kronecker constraint, and then a sparse reconstruction algorithm is introduced by utilizing the structured sparsity of the scene. The proposed tensor-based SAR imaging model is able to take advantage of the Kronecker information in each mode, which ensures the robustness for the signal reconstruction. Both the algorithm complexity analysis and numerical simulations show that the proposed method requires less computation than the existing sparsity-driven SAR imaging algorithms. The imaging realizations based on the practical measured data also indicate that the proposed algorithm is superior to the reference methods even in the severe noisy environment, under the condition of multiway structured sparsity.
Mathematics Subject Classification ID: 94A08
Mathematics Subject Classification ID: 68U10
zbMATH DE Number: 6920547
zbMATH Keywords: SAR imaging
zbMATH Keywords: sparse reconstruction
zbMATH Keywords: tensor decomposition
zbMATH Keywords: multiway structured sparsity
zbMATH Keywords: Kronecker constraint
describes a project that uses: SAR
describes a project that uses: CoSaMP
describes a project that uses: MAG
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.3390/a10010002
OpenAlex ID: W2565702492
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DOI: 10.3390/A10010002
description: scientific article; zbMATH DE number 6920547