Title
Accelerated L1/2 regularization based SAR imaging via BCR and reduced Newton skills
Abstract
Sparse synthetic aperture radar (SAR) imaging has been highlighted in recent studies. As an important sparsity constraint, L"1"/"2 regularizer has been substantiated effectively when applied to SAR imaging. However, L"1"/"2-SAR imaging suffers from a common challenge with other sparse SAR imaging methods: the computational complexity is costly, especially for high dimensional applications. This challenge is mainly due to that L"1"/"2-SAR imaging is a gradient descent based method, of which the convergence is at most linear. Thus, a lot of iterations are often necessary to yield a satisfactory result. In this paper, we propose an accelerated L"1"/"2-SAR imaging method by applying the block coordinate relaxation (BCR) scheme combined with the reduced Newton skill for acceleration. It is numerically shown that the proposed method keeps fast convergence within a very few iterations, and also maintains high reconstruction precision. We provide a series of simulations and two real SAR applications to demonstrate the superiority of the proposed method. Particularly, much faster convergence and higher reconstruction precision in imaging, of the proposed method over the other sparse SAR imaging methods.
Year
DOI
Venue
2013
10.1016/j.sigpro.2012.12.017
Signal Processing
Keywords
Field
DocType
2-sar imaging method,accelerated l,real sar application,accelerated l1,sar imaging,sparse sar imaging method,common challenge,sparse synthetic aperture radar,2-sar imaging,newton skill,fast convergence,synthetic aperture radar
Convergence (routing),Mathematical optimization,Gradient descent,Synthetic aperture radar,Regularization (mathematics),Acceleration,Mathematics,Computational complexity theory
Journal
Volume
Issue
ISSN
93
7
0165-1684
Citations 
PageRank 
References 
13
0.59
16
Authors
5
Name
Order
Citations
PageRank
Jinshan Zeng123618.82
Zongben Xu23203198.88
bingchen zhang311017.19
Wen Hong435549.85
Yirong Wu539646.55