Properties of real and complex ETFs and their application to the design of low coherence frames (Q307812)
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scientific article; zbMATH DE number 6623339
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Properties of real and complex ETFs and their application to the design of low coherence frames |
scientific article; zbMATH DE number 6623339 |
Statements
Properties of real and complex ETFs and their application to the design of low coherence frames (English)
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5 September 2016
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In this paper frames \((m,N)\) such that the frame vectors have positive, real valued, correlation with the first vector are considered. It is shown that any ETF can be transformed into this regular ETF by applying linear transformations that preserve the worst case coherence. Using these regular ETFs allows to describe the phase information carried in their Gram matrices. Some properties of the Gram matrices of R-ETFs are presented.
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equiangular tight frames
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mutual coherence
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average coherence
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