Structured group frames

Authors

Yonina Eldar and Helmut Bölcskei

Reference

Proc. of 2003 Workshop on Sampling Theory and Applications (SampTA'03), May 2003.

Abstract

We introduce and discuss the properties of a new class of finite-dimensional frames with strong symmetry properties called geometrically uniform (GU) frames, that are defined over a finite Abelian group of unitary matrices and are generated by a single generating vector. The notion of GU frames is then extended to compound GU (CGU) frames which are generated by a finite Abelian group of unitary matrices using multiple generating vectors. Finally, we discuss methods for constructing optimal GU frames.

Keywords

Frames, Abelian groups, geometrically uniform

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