27 citations · 128 across the 26 of their papers we have counts for
4 papers · 1 filter
Infinite Sequences, Series Convergence and the Discrete Time Fourier Transform over Finite Fields
R. M. Campello de Souza, M. M. Campello de Souza, H. M. de Oliveira +1
Digital Transforms have important applications on subjects such as channel coding, cryptography and digital signal processing. In this paper, two Fourier Transforms are considered,…
The Hartley Transform in a Finite Field
R. M. Campello de Souza, H. M. de Oliveira, A. N. Kauffman
The k-trigonometric functions over the Galois Field GF(q) are introduced and their main properties derived. This leads to the definition of the cask(.) function over GF(q), which i…
The Z Transform over Finite Fields
R. M. Campello de Souza, H. M. de Oliveira, D. Silva
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 int…
Introducing an Analysis in Finite Fields
H. M. de Oliveira, R. M. Campello de Souza
Looking forward to introducing an analysis in Galois Fields, discrete functions are considered (such as transcendental ones) and MacLaurin series are derived by Lagrange's Interpol…