A fast augmented Lagrangian approach for compressed SAR imaging

Güven, Emre H. and Çetin, Müjdat (2014) A fast augmented Lagrangian approach for compressed SAR imaging. In: NATO SET-213 Specialist Meeting: Compressive Sensing for Radar/SAR and EO/IR Imaging, Tallinn, Estonia

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In this paper we present an accelerated Augmented Lagrangian Method for the solution of constrained convex optimization problems in the Basis Pursuit De-Noising (BPDN) form. The technique relies on on Augmented Lagrangian Methods (ALMs), particularly the Alternating Direction Method of Multipliers (ADMM). Here, we present an application of the Constrained Split Augmented Lagrangian Shrinkage Algorithm (C-SALSA) to SAR imaging, while introducing a method to handle complex SAR imagery in the constrained Total Variation Minimization formulation. In addition, we apply acceleration schemes to C-SALSA to obtain faster convergence of the method; such as used in Fast ADMM methods proposed by Goldstein et al., in the Fast Iterative Shrinkage-Thresholding Algorithm (FISTA) proposed by Beck and Teboulle, and in NESTA proposed by Becker et al. We present examples to illustrate the effectiveness of Accelerated C-SALSA in the context of SAR imaging.
Item Type: Papers in Conference Proceedings
Additional Information: Original Title: An accelerated augmented Lagrangian method with application to compressed sensing SAR imaging
Subjects: T Technology > TK Electrical engineering. Electronics Nuclear engineering
Divisions: Faculty of Engineering and Natural Sciences > Academic programs > Electronics
Faculty of Engineering and Natural Sciences
Depositing User: Müjdat Çetin
Date Deposited: 15 Dec 2014 14:55
Last Modified: 26 Apr 2022 09:17
URI: https://research.sabanciuniv.edu/id/eprint/25677

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