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Spline Modulation of Sinusoids for Signal Representation |
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| Authors: | |
| Institution: | (1) Universität Ulm, Abteilung Numerik, 89069 Ulm, Germany;(2) Department of Mathematics and Computer Science, University of Missouri–St. Louis, St. Louis, MO 63121, USA |
| Abstract: | We investigate biorthogonal Wilson bases generated by cardinal B-splines. Such bases provide very efficient representations of sinusoids modulated by spline functions. Exact Riesz bounds for such bases are given. Furthermore, we derive an explicit formula for the computation of the dual window functions and determine their decay rates. |
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