Research on solving algebraic equation set of orthogonal and biorthogonal wavelet under vanishing moment constraint

This paper describes algebraic equation set of constructing orthogonal and biorthogonal wavelet under vanishing moment constraint, and proposes a method to solve them. The algebraic equation set consists of two parts: linear equation system and non-linear equation system. This paper first investigates how to solve the linear equation system, then, uses 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. Algorithm implementations are discussed and problems to be solved further are pointed out.