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On Interpolation and Resampling of Discrete Data

P.D. Tafti, S. Shirani, X. Wu

IEEE Signal Processing Letters, vol. 13, no. 12, pp. 733-736, December 2006.

This letter introduces a new representation of discrete signals based on the mathematical notions of functionals and continuous dual spaces. A new and more general sampling theorem is also suggested. Next, the problems of interpolating and resampling discrete signals are addressed; and a general solution using functional interpolation—which is applicable to many different settings—is proposed. Families of resampling filters dubbed de Boor-Ron filters that use de Boor-Ron interpolation are introduced, and their numerical realization is discussed. Some applications of this research are suggested.

AUTHOR="Tafti, P.D. and Shirani, S. and Wu, X.",
TITLE="On Interpolation and Resampling of Discrete Data",
JOURNAL="{IEEE} Signal Processing Letters",

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