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arXiv · 1909.06223

Full Spark Frames in the Orbit of a Representation

Romanos Diogenes Malikiosis·Vignon Oussa
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Abstract

We present a new infinite family of full spark frames in finite dimensions arising from a unitary group representation, where the underlying group is the semi-direct product of a cyclic group by a group of automorphisms. The only previously known algebraically constructed infinite families were the harmonic, Gabor and Dihedral frames. Our construction hinges on a theorem that requires no group structure. Additionally, we illustrate our results by providing explicit constructions of full spark frames.

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BibTeXRIS

Romanos Diogenes Malikiosis, Vignon Oussa. 2019-09-13. Full Spark Frames in the Orbit of a Representation. https://arxiv.org/abs/1909.06223

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