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.
This work was supported by the National Natural Science Foundation of China under the grant number 69903012.
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© 2001 Springer-Verlag Berlin Heidelberg
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Li, J.P., Tang, Y.Y. (2001). General Analytic Construction for Wavelet Low-Passed Filters. In: Tang, Y.Y., Yuen, P.C., Li, Ch., Wickerhauser, V. (eds) Wavelet Analysis and Its Applications. WAA 2001. Lecture Notes in Computer Science, vol 2251. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-45333-4_38
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DOI: https://doi.org/10.1007/3-540-45333-4_38
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