TY - JOUR
T1 - The Importance of Continuity for Linear Time-Invariant Systems [Lecture Notes]
AU - Zhang, Ming
AU - Chen, Xiaoming
N1 - Publisher Copyright:
© 1991-2012 IEEE.
PY - 2020/3
Y1 - 2020/3
N2 - 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.
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.
UR - https://www.scopus.com/pages/publications/85081124849
U2 - 10.1109/MSP.2019.2956602
DO - 10.1109/MSP.2019.2956602
M3 - 文献综述
AN - SCOPUS:85081124849
SN - 1053-5888
VL - 37
SP - 77-80+100
JO - IEEE Signal Processing Magazine
JF - IEEE Signal Processing Magazine
IS - 2
M1 - 9014561
ER -