多小波的研究进展及其在电力系统中应用的展望

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.通过引入最早的多小波,介绍了多小波的基本性质;详细讨论了目前多小波理论的研究现状,并对几种常用的多小波进行比较;深入讨论和分析了多小波的预处理问题,并进行了归类;结合电力系统领域,提出和探讨多小波理论在实际应用中存在的问题;最后对多小波今后的研究问题和在电力系统中的应用进行了展望.

REVIEW OF THE MULTIWAVELET DEVELOPMENT AND ITS APPLICATIONS IN POWER SYSTEMS

Multiwavelet can possess symmetry, orthogonality, short support and high order vanish moments, however traditional wavelet cannot possess all these properties at the same time. At first, the properties of multiwavelet are presented through the introduction of the earliest multiwavelets and some typical multiwavelets are compared. The study of multiwavelet theory at present is discussed in detail. Then the pre-processing problem of multiwavelet is discussed and analyzed, in addition, pre-processing methods are classified. Through combining multiwavelet theory to power systems, the problems of multiwavelet application are probed. In the end, research and application problems in power systems by use of the multiwavelet theory are proposed in the future.