Research on Solving Algebraic Equation Set of Orthogonal and Biorthogonal Wavelet under Vanishing Moment Constraint |
Abstract: |
We describe algebraic equation set of constructing orthogonal and biorthogonal wavelet under vanishing moment constraint, and propose a method to solve them. The algebraic equation set consists of two parts: linear equation system and non-linear equation system. We first investigate how to solve the linear equation system, then, use the computational results to simplify the non-linear equation system. The non-linear equation system is equivalent to a non-linear two degree polynomial equation set with smaller scale. We also discuss algorithm implementations and point out some problems to be solved further.
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