Theory of Periodically Time-Variant Linear Systems
Juan I. Bonetti, Agust\'in C. Galletto, Mario R. Hueda
TL;DR
This paper develops a mathematical framework for periodically time-variant linear systems, analyzing their frequency characteristics to aid digital representation and proposing properties for their simulation and compensation.
Contribution
It introduces a novel mathematical framework for PTV systems, focusing on frequency-domain analysis and equivalences for better representation and control.
Findings
Estimated output bandwidth for PTV systems
Derived properties for system equivalences
Facilitated simulation and compensation methods
Abstract
In this work we provide a mathematical framework to describe the periodically time variant (PTV) linear systems. We study their frequency-domain features to estimate the output bandwidth, a necessary value to obtain a suitable digital representation of such systems. In addition, we derive several interesting properties enabling useful equivalences to represent, simulate and compensate PTVs.
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Taxonomy
TopicsDigital Filter Design and Implementation · Advancements in PLL and VCO Technologies · Network Time Synchronization Technologies