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- W2955874988 abstract "The notion of weak dual frames is a generalization of that of dual frames. Gabor analysis on discrete periodic sets has potential applications in signal processing. This paper addresses vector-valued weak Gabor dual frames on discrete periodic sets. We introduce the notions of its weak oblique Gabor dual, weak Gabor duals of types I and II for a Gabor system on a discrete periodic set. Using the Zak-transform matrix method, we characterize these three kinds of weak duals and their uniqueness. Finally, we give an explicit expression of a class of weak Gabor duals and provide some examples." @default.
- W2955874988 created "2019-07-12" @default.
- W2955874988 creator A5013253130 @default.
- W2955874988 creator A5048803742 @default.
- W2955874988 date "2019-07-01" @default.
- W2955874988 modified "2023-10-17" @default.
- W2955874988 title "Vector-valued weak Gabor dual frames on discrete periodic sets" @default.
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- W2955874988 doi "https://doi.org/10.1063/1.5043493" @default.
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