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Periodic wavelet frames
Authors:Email author" target="_blank">Zhihua?ZhangEmail author
Institution:(1) Institute of Mathematics, Chinese Academy of Sciences, Beijing, P.R. China, 100080
Abstract:In this paper, starting from any two functions satisfying some simple conditions, using a periodization method, we construct a dual pair of periodic wavelet frames and show their optimal bounds. The obtained periodic wavelet frames possess trigonometric polynomial expressions. Finally, we present two examples to explain our theory.
Keywords:periodic wavelet frames  a dual pair of frames  optimal frame bounds
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