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Design of Incoherent Frames via Convex Optimization

Rusu, Cristian Design of Incoherent Frames via Convex Optimization. IEEE Signal Processing Letters, 20 (7). pp. 673-676. ISSN 1070-9908 (2013)

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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
Identification Number: 10.1109/LSP.2013.2263280
Uncontrolled Keywords: Grassmannian frames; Sparse representations
Subjects: Q Science > QA Mathematics > QA76 Computer software
Research Area: Computer Science and Applications
Depositing User: Ms T. Iannizzi
Date Deposited: 10 Jun 2013 08:02
Last Modified: 10 Jun 2013 08:02
URI: http://eprints.imtlucca.it/id/eprint/1608

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