Commutativity of First-order Discrete-Time Linear Time-varying Systems
Systems and Control
2020-08-13 v1
Abstract
After introducing the concept of commutativity for continuous-time linear time-varying systems, the related literature and the results obtained so far are presented. For a simple introduction of the commutativity of discrete-time linear time-varying systems, the problem is formulated for first-order systems. Finally, explicit necessary and sufficient conditions for the commutativity of first-order discrete-time linear time-varying systems are derived, and their advantageous use in digital system design is illustrated; which are the main objectives of the paper. The results are verified by examples which include an application in amplitude modulation for digital telecommunication.
Keywords
Cite
@article{arxiv.1709.04410,
title = {Commutativity of First-order Discrete-Time Linear Time-varying Systems},
author = {Mehmet Emir Koksal},
journal= {arXiv preprint arXiv:1709.04410},
year = {2020}
}
Comments
28 pages, 9 figures