Research on solving algebraic equation set of orthogonal and biorthogonal wavelet under vanishing moment constraint
Yankui Sun, Fan Bao, Ding Chen · 2007
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.