Secondly, there must be dependence among each description. We find among commonly used multiwavelets, only balanced multiwavelet can satisfy the two requirements.
Multiwavelet can possess symmetry, orthogonality, short support and high order vanish moments, however traditional wavelet cannot possess all these properties at the same time.
多小波可以同时具有对称性、正交性、短支撑性、高阶消失矩等性质，这是传统小波无法比拟的。
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The main purpose of this paper is to introduce the construction of orthogonal, biorthogonal and semi orthogonal multiwavelet and the application of multiwavelet to signal processing.