关于平稳线性时变系统

IF 4 2区工程技术 Q2 ENGINEERING, ELECTRICAL & ELECTRONIC

IEEE Transactions on Circuits and Systems II: Express Briefs Pub Date : 1982-03-01 DOI:10.1109/TCS.1982.1085130

T. Claasen, W. Mecklenbrauker

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引用次数: 113

摘要

对线性时变系统的时域和频域表示进行了全面的回顾。随后给出了平稳确定性信号的定义。在此基础上，引入了平稳系统的概念。这些系统具有一个有用的性质，即输入和输出之间的谱关系比任意时变系统的对应关系具有更简单的形式。结果表明，因果关系对平稳线性系统可以实现的频率映射施加了相当严格的约束。讨论了将线性时变系统理论推广到离散时间和混合系统(模拟输入、数字输出或相反)的情况。给出了固定系统的实例，如抽取器、周期采样器和双线性a /D转换器。同时，利用本文所讨论的概念，分析了最近提出的一种广义抽样方法。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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On stationary linear time-varying systems

A comprehensive review of representations of linear timevarying systems is given, both in the time and in frequency domains. Subsequently a definition is given of a stationary deterministic signal. Based on this definition the notion of stationary systems is introduced. These systems have the useful property that the spectral relation between input and output has a simpler form than the corresponding relation for arbitrary time-varying systems. It is shown that causality puts rather severe constraints on the frequency mappings that can be realized by stationary linear systems. An extension of the theory of linear time-varying systems to the case of discrete-time and hybrid systems (analog input, digital output, or vice versa) is discussed. Examples of stationary systems are given, such as a decimator, a periodic sampler, and a bilinear A/D converter. Also, a recently proposed generalized sampling method is analyzed by means of the concepts discussed in this paper.

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来源期刊

IEEE Transactions on Circuits and Systems II: Express Briefs 工程技术-工程：电子与电气

CiteScore

7.90

自引率

20.50%

发文量

883

审稿时长

3.0 months

期刊介绍： TCAS II publishes brief papers in the field specified by the theory, analysis, design, and practical implementations of circuits, and the application of circuit techniques to systems and to signal processing. Included is the whole spectrum from basic scientific theory to industrial applications. The field of interest covered includes: Circuits: Analog, Digital and Mixed Signal Circuits and Systems Nonlinear Circuits and Systems, Integrated Sensors, MEMS and Systems on Chip, Nanoscale Circuits and Systems, Optoelectronic Circuits and Systems, Power Electronics and Systems Software for Analog-and-Logic Circuits and Systems Control aspects of Circuits and Systems.