信号与系统的泛函分析

FUNCTIONAL ANALYSIS OF SIGNAL AND SYSTEM

信号与系统的泛函分析是以泛函理论为工具描述和研究信号与系统特性的近代分析方法。这种方法可使信号与系统的表示更加抽象与概括,并使连续与离散、时域与频域、分析与综合达到统一,从而在信号与系统学科中得到了日益广泛的应用。本文仅就其基本理论及其应用加以简要的介绍。

Functional analysis of signal and system is a modern analytical method which is used for describing and studying the properties of signals and systems by means of functional analysis theory. It makes not only the signal and system expressions more abstract and generalized but also the continuous time and the discrete time, the time domain and the frequency domain, the analysis and the synthesis coming to a unified approach whereby it is finding more and more applications in the subject of Signal and system. This paper gives only a brief introduction about its basic theory and some application examples.