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 nonlinear equation system. We first investigate how to solve the linear equation system, then, use the computational results to simplify the nonlinear equation system. The nonlinear equation system is equivalent to a nonlinear 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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