... 而基于Mallat的金字塔算法的快速小波变换的时间复杂度为0（Ⅳ），其空间 复杂度也是线性的． （2）消失矩（Vanishing Moments）：小波的另一个重要特性就是消失矩。设函数 ，（力在有界域m内有意义，若满足： L／（咖7矗＝0，J＝o工…
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阐述了一种利用消失矩条件和线性时不变系统的状态方程来构造小波的方法。
Motivated by the filter reconstruction and vanish-moment conditions, a general construction approach based on the state equation was proposed for linear time-invariant systems.
阻带零点抑制是比消失矩约束更为严格的设计条件，能够更有效地控制滤波器的阻带特性。
The stopband zero suppression is a stricter design constraint than the vanishing moments, and can more effectively manipulate the stopband characteristics of filters.
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。
Multiwavelet can possess symmetry, orthogonality, short support and high order vanish moments, however traditional wavelet cannot possess all these properties at the same time.
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