eprintid: 1608 rev_number: 5 eprint_status: archive userid: 6 dir: disk0/00/00/16/08 datestamp: 2013-06-10 08:02:44 lastmod: 2013-06-10 08:02:44 status_changed: 2013-06-10 08:02:44 type: article metadata_visibility: show creators_name: Rusu, Cristian creators_id: cristian.rusu@imtlucca.it title: Design of Incoherent Frames via Convex Optimization ispublished: pub subjects: QA76 divisions: CSA full_text_status: none keywords: Grassmannian frames; Sparse representations 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. date: 2013-07 date_type: published publication: IEEE Signal Processing Letters volume: 20 number: 7 publisher: IEEE pagerange: 673-676 id_number: 10.1109/LSP.2013.2263280 refereed: TRUE issn: 1070-9908 official_url: http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=6516525&isnumber=6515149 citation: Rusu, Cristian Design of Incoherent Frames via Convex Optimization. IEEE Signal Processing Letters, 20 (7). pp. 673-676. ISSN 1070-9908 (2013)