Grassmannians in frame theory

Jameson Cahill; Shidong Li

doi:10.1117/12.893500

30 September 2011 Grassmannians in frame theory

Jameson Cahill, Shidong Li

Proceedings Volume 8138, Wavelets and Sparsity XIV; 81380D (2011) https://doi.org/10.1117/12.893500
Event: SPIE Optical Engineering + Applications, 2011, San Diego, California, United States

Abstract

The Grassmannian is the set of k dimensional subspace of an n dimensional vector space. This set naturally parametrizes isomorphism classes of frames. We will present several results which exploit this fact. In particular, we will use the Plucker embedding of the Grassmannian to identify a class of frames which is optimal for the maximal number of erasures.

Citation Download Citation

Jameson Cahill and Shidong Li "Grassmannians in frame theory", Proc. SPIE 8138, Wavelets and Sparsity XIV, 81380D (30 September 2011); https://doi.org/10.1117/12.893500

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