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Algebraic Construction Method of Discrete Wavelet Filters

    This work is supported by the National Natural Science Foundation of China (No. 30470487, 60203003).

    https://doi.org/10.1142/9789812772763_0031Cited by:0 (Source: Crossref)
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    Abstract:

    This paper discusses algebraic construction methods of finite orthogonal and biorthogonal wavelet filters under vanishing moment constraints, where it gives a set of algebraic constraint equations of orthogonal wavelet filter under one vanishing moment constraint, and Daubechies wavelet filters such as dbl, db2, sym2, db3 and sym3 filters are derived from these equations as examples; and it also obtains a set of constraint equations of biorthogonal wavelets under two vanishing moment constraints, (7-5) biorthogonal wavelet filter with (4,2) vanishing moment and (5-3) biorthogonal wavelet filter with (2,2) vanishing moment are derived from these equations as examples.