Properties of real and complex ETFs and their application to the design of low coherence frames

Rusu, Cristian, González-Prelcic, Nuria and Heath, Robert W. (2016) Properties of real and complex ETFs and their application to the design of low coherence frames. Linear Algebra and its Applications, 508. pp. 81-90. ISSN 0024-3795

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Abstract

Certain properties of an equiangular tight frame are contained in the sign (or phase) of its corresponding Gram matrix. In this paper we convey new properties for Gram matrices of equiangular tight frames and use them to construct new frames with low average and worst case coherences. Based on these results, we also provide properties of the synthesis matrix of equiangular tight frames.

Item Type:	Article
Subjects:	Q Science > QA Mathematics > Electronic computers. Computer science T Technology > T Technology (General) > Information Technology > Electronic computers. Computer science Q Science > QA Mathematics > Computer software T Technology > T Technology (General) > Information Technology > Computer software
Divisions:	School of Computing > Staff Research and Publications
Depositing User:	Caoimhe Ní Mhaicín
Date Deposited:	02 Jul 2018 12:16
Last Modified:	02 Jul 2018 12:16
URI:	https://norma.ncirl.ie/id/eprint/3033

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