多尺度系统理论研究概况

赵巍; 潘泉; 戴冠中; 张洪才

多尺度系统理论研究概况

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出版历程
- 收稿日期: 2000-05-10
- 修回日期: 2000-10-12
- 刊出日期: 2001-12-19

DEVELOPMENT OF MULTISCALE SYSTEM THEORY

摘要

摘要: 在许多应用领域中,通常要对出现在不同尺度的现象进行分析和辨识,最近引入的多尺度框架使这一分析成为可能。该文简单介绍了多尺度系统理论的发展概况以及多尺度框架在估计和数据融合中的应用,分析了多尺度模型、平滑误差模型以及两类多尺度实现模型,并指出了目前急需解决的问题。
- 多尺度建模; 多尺度平滑算法; 内部实现模型; 外部实现模型
Abstract: In many problems, it is of interest to analyze and recognize the phenomena occurring at different scales. The recently introduced multiscale framework offers the possibility of such an analysis. In this paper; the development of the multiscale system theory is introduced briefly, and its application in modeling and estimation is presented. The multiscale models, smoothing error models and two kinds of multiscale realizations are described in particular. Some possible research directions are pointed out.

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