General analytic construction for wavelet low-passed filters

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Abstract

The orthogonal wavelet lowpassed filters coefficients with arbitrary length are constructed in this paper. When N=2k and N = 2k−1, the general analytic constructions of orthogonal wavelet filters are put forward, respectively. The famous Daubechies filter and many other wavelet filters are tested by the proposed novel method, which is very useful for wavelet theory research and many applications areas such as pattern recognition.

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Li, J. P., & Tang, Y. Y. (2001). General analytic construction for wavelet low-passed filters. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 2251, pp. 314–320). Springer Verlag. https://doi.org/10.1007/3-540-45333-4_38

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