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- W2021578093 abstract "We discuss the linear independence of systems ofmvectors in n-dimensional complex vector spaces where the m vectors are time-frequency shifts of one generating vector. Such systems are called Gabor systems. When n is prime, we show that there exists an open, dense subset with full-measure of such generating vectors with the property that any subset of n vectors in the corresponding full Gabor system of n2 vectors is linearly independent. We derive consequences relevant to coding, operator identification and time-frequency analysis in general." @default.
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- W2021578093 date "2005-12-01" @default.
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- W2021578093 title "Linear Independence of Gabor Systems in Finite Dimensional Vector Spaces" @default.
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- W2021578093 doi "https://doi.org/10.1007/s00041-005-5017-6" @default.
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