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The Canonical Dual Frame of a Wavelet Frame
Authors:Ingrid Daubechies  Bin Han  
Institution:a PACM, Department of Mathematics, Princeton University, Fine Hall, Washington Road, Princeton, New Jersey, 08544, f1;b Department of Mathematical and Statistical Sciences, University of Alberta, Edmonton, Alberta, T6G 2G1, Canadaf2
Abstract:In this paper we show that there exist wavelet frames that have nice dual wavelet frames, but for which the canonical dual frame does not consist of wavelets, i.e., cannot be generated by the translates and dilates of a single function.
Keywords:wavelet frame  the canonical dual frame  dual wavelet frame
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