The Z Transform over Finite Fields

2015/02/11 by Ricardo M. Campello de Souza, de Souza, R. M. Campello, H. M. de Oliveira +3 · 1 citation
Computer Science · Engineering · #Advanced Wireless Communication Techniques #Digital Filter Design and Implementation #FOS: Electrical engineering #FOS: Mathematics #Number Theory (math.NT) #Numerical Analysis (math.NA) #Optical Network Technologies #Signal Processing (eess.SP) #electronic engineering #information engineering

paper · pdf · doi:10.48550/arxiv.1502.03371

openalex publication_date 2015/02/11 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

Citations

• Efficient Multiplex for Band-Limited Channels: Galois-Field Division Multiple Access

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• Infinite Sequences, Series Convergence and the Discrete Time Fourier Transform over Finite Fields

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