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STRUCTURED GROUP FRAMES

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.