The Z Transform over Finite Fields
R.M. Campello de Souza, H.M. de Oliveira, D. Silva

TL;DR
This paper introduces the Z Transform over finite fields, exploring its properties and potential applications, with an emphasis on low computational complexity implementations.
Contribution
It presents the first detailed study of the Z Transform in finite fields, expanding the toolkit for finite field signal processing.
Findings
Properties of the Z Transform over finite fields are established
Potential applications in efficient signal processing are discussed
Foundations for future research in finite field transforms are laid
Abstract
Finite field transforms have many applications and, in many cases, can be implemented with a low computational complexity. In this paper, the Z Transform over a finite field is introduced and some of its properties are presented.
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Taxonomy
TopicsAdvanced Wireless Communication Techniques · Digital Filter Design and Implementation · Optical Network Technologies
