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Design of Incoherent Frames via Convex Optimization

Rusu, Cristian (2013) Design of Incoherent Frames via Convex Optimization. IEEE Signal Processing Letters, 20 (7). pp. 673-676. ISSN 1558-2361

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Abstract

This paper describes a new procedure for the design of incoherent frames used in the field of sparse representations. We present an efficient algorithm for the design of incoherent frames that works well even when applied to the construction of relatively large frames. The main advantage of the proposed method is that it uses a convex optimization formulation that operates directly on the frame, and not on its Gram matrix. Solving a sequence of convex optimization problems allows for the introduction of constraints on the frame that were previously considered impossible or very hard to include, such as non-negativity. Numerous experimental results validate the approach.

Item Type: Article
Subjects: Q Science > QA Mathematics > Electronic computers. Computer science
T Technology > T Technology (General) > Information Technology > Electronic computers. Computer science
Divisions: School of Computing > Staff Research and Publications
Depositing User: CAOIMHE NI MHAICIN
Date Deposited: 03 Jul 2018 10:34
Last Modified: 03 Jul 2018 10:34
URI: http://trap.ncirl.ie/id/eprint/3053

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