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Seidel's combinatorial approach to the construction of real, symmetric matrices with unimodular entries and two eigenvalues has produced many equiangular Parseval frames for real Hilbert spaces. We follow Seidel's footsteps and develop a corresponding combinatorial characterization of complex Seidel matrices belonging to equiangular Parseval frames. We deduce necessary conditions for the existence...
The objective of this paper is to improve the customary definition of redundancy by providing quantitative measures in its place, which we coin upper and lower redundancies, that match better with an intuitive understanding of redundancy for finite frames in a Hilbert space. This motivates a carefully chosen list of desired properties for upper and lower redundancies. The means to achieve these properties...
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