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Computer Science > Systems and Control

Title: Commutativity of First-order Discrete-Time Linear Time-varying Systems

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.
Comments: 28 pages, 9 figures
Subjects: Systems and Control (cs.SY)
Cite as: arXiv:1709.04410 [cs.SY]
  (or arXiv:1709.04410v1 [cs.SY] for this version)

Submission history

From: Mehmet Emir Koksal [view email]
[v1] Wed, 13 Sep 2017 16:33:38 GMT (641kb)