The Importance of Continuity for Linear Time-Invariant Systems

被引：2
|
作者：
Zhang, Ming [1 ]
Chen, Xiaoming [1 ]
机构：
[1] Xi An Jiao Tong Univ, Sch Informat & Commun Engn, Xian, Peoples R China
来源：
IEEE SIGNAL PROCESSING MAGAZINE | 2020年 / 37卷 / 02期
基金：
中国国家自然科学基金;
关键词：
Linear time-invariant (LTI) systems play a fundamental role in signal processing. Continuity is an important property of LTI systems; without which many conclusions about LTI systems; such as convolution formula and commutative law; are not true in general. However; this concept does not receive as much attention as it should in the literature of signal processing. In this Lecture Notes article; we provide a detailed discussion on the importance of continuity for LTI systems. For simplicity; we mainly consider the discrete-Time signals and systems. © 1991-2012 IEEE;
D O I：
10.1109/MSP.2019.2956602
中图分类号：
TM [电工技术]; TN [电子技术、通信技术];
学科分类号：
0808 ; 0809 ;
摘要：
Linear time-invariant (LTI) systems play a fundamental role in signal processing. Continuity is an important property of LTI systems, without which many conclusions about LTI systems, such as convolution formula and commutative law, are not true in general. However, this concept does not receive as much attention as it should in the literature of signal processing. In this "Lecture Notes" article, we provide a detailed discussion on the importance of continuity for LTI systems. For simplicity, we mainly consider the discrete-Time signals and systems. © 1991-2012 IEEE.
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页码：77 / +
页数：5
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