Spectral tetris fusion frame constructions

Peter G. Casazza; Matthew Fickus; Andreas Heinecke; Yang Wang; Zhengfang Zhou

doi:10.1117/12.892708

27 September 2011 Spectral tetris fusion frame constructions

Peter G. Casazza, Matthew Fickus, Andreas Heinecke, Yang Wang, Zhengfang Zhou

Proceedings Volume 8138, Wavelets and Sparsity XIV; 813816 (2011) https://doi.org/10.1117/12.892708
Event: SPIE Optical Engineering + Applications, 2011, San Diego, California, United States

Abstract

A fusion frame is a collection of subspaces in a Hilbert space, generalizing the idea of a frame for signal representation. A tool to construct fusion frames is the spectral tetris algorithm, a flexible and elementary method to construct unit norm frames with a given frame operator having all of its eigenvalues greater than or equal to two. We discuss how spectral tetris can be used to construct fusion frames with prescribed eigenvalues for its fusion frame operator and with prescribed dimensions for its subspaces.

Citation Download Citation

Peter G. Casazza, Matthew Fickus, Andreas Heinecke, Yang Wang, and Zhengfang Zhou "Spectral tetris fusion frame constructions", Proc. SPIE 8138, Wavelets and Sparsity XIV, 813816 (27 September 2011); https://doi.org/10.1117/12.892708

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