The Importance of Continuity for Linear Time-Invariant Systems [Lecture Notes]

Ming Zhang; Xiaoming Chen

doi:10.1109/MSP.2019.2956602

The Importance of Continuity for Linear Time-Invariant Systems [Lecture Notes]

Ming Zhang
, Xiaoming Chen

Faculty of Electronic and Information Engineering

Xi'an Jiaotong University

Research output: Contribution to journal › Review article › peer-review

3 Scopus citations

Abstract

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.

Original language	English
Article number	9014561
Pages (from-to)	77-80+100
Journal	IEEE Signal Processing Magazine
Volume	37
Issue number	2
DOIs	https://doi.org/10.1109/MSP.2019.2956602
State	Published - Mar 2020

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abstract = "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.",

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AB - 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.

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The Importance of Continuity for Linear Time-Invariant Systems [Lecture Notes]

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