Deformed Fourier matrices in bistochastic form
Teo Banica
TL;DR
This paper explores the properties of deformed Fourier matrices in bistochastic form, providing computations and insights into their structure and relation to complex Hadamard matrices.
Contribution
It analyzes the deformation of Fourier matrices into bistochastic form, highlighting new structural insights and computational methods.
Findings
Deformed Fourier matrices can be represented in bistochastic form.
Explicit computations for basic deformations of Fourier matrices.
Enhanced understanding of complex Hadamard matrices in bistochastic form.
Abstract
Many interesting examples of complex Hadamard matrices can be put, up to the standard equivalence relation for such matrices, in bistochastic form. We discuss here this phenomenon, with a number of computations for some of the most basic such matrices, namely the deformations of the Fourier matrix .
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Taxonomy
Topicsgraph theory and CDMA systems · Advanced Topics in Algebra · Random Matrices and Applications