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Irregular wavelet frames

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Abstract

For the non-band-limited functionΨ, a sufficient condition is presented under which\(\{ \sqrt {s_j } \psi (s_j \cdot - kb)\} \) is a frame for L2(R). The stability of these frames is studied. For the wavelets frequently used in signal processing, some concrete results are given.

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Authors and Affiliations

  1. Nankai Institute of Mathematics, Nankai University, 300071, Tianjin, China

    Wenchang Sun & Xingwei Zhou

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  1. Wenchang Sun
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  2. Xingwei Zhou
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Sun, W., Zhou, X. Irregular wavelet frames. Sci. China Ser. A-Math. 43, 122–127 (2000). https://doi.org/10.1007/BF02876037

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  • DOI: https://doi.org/10.1007/BF02876037

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