Complex conference matrices, Complex Hadamard matrices and equiangular tight frames
Boumediene Et-Taoui
TL;DR
This paper introduces new parametric families of complex conference and Hadamard matrices, establishing their connection to complex equiangular tight frames, advancing the understanding of these mathematical structures.
Contribution
It presents novel parametric constructions of complex conference and Hadamard matrices and links them to complex equiangular tight frames, expanding existing mathematical frameworks.
Findings
New parametric families of complex conference matrices
New complex Hadamard matrices of square orders
Connections to complex equiangular tight frames
Abstract
We construct new, previously unknown parametric families of complex conference matrices and of complex Hadamard matrices of square orders and related them to complex equiangular tight frames.
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Taxonomy
Topicsgraph theory and CDMA systems · Holomorphic and Operator Theory · Mathematical Analysis and Transform Methods