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• W2038583166 abstract "We study the problem of interpolating all values of a discrete signal f of length N when d <; N values are known, especially in the case when the Fourier transform of the signal is zero outside some prescribed index set J; these comprise the (generalized) bandlimited spaces B <sup xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink>J</sup> . The sampling pattern for f is specified by an index set I, and is said to be a universal sampling set if samples in the locations I can be used to interpolate signals from B <sup xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink>J</sup> for any J. When N is a prime power we give several characterizations of universal sampling sets, some structure theorems for such sets, an algorithm for their construction, and a formula that counts them. There are also natural applications to additive uncertainty principles." @default.
• W2038583166 created "2016-06-24" @default.
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• W2038583166 date "2012-07-01" @default.
• W2038583166 modified "2023-10-16" @default.
• W2038583166 title "Discrete Sampling and Interpolation: Universal Sampling Sets for Discrete Bandlimited Spaces" @default.
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• W2038583166 doi "https://doi.org/10.1109/tit.2012.2193871" @default.
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