27 citations · 82 across the 12 of their papers we have counts for
14 papers
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 Hamming and Golay Number-Theoretic Transforms
A. J. A. Paschoal, R. M. Campello de Souza, H. M. de Oliveira
New number-theoretic transforms are derived from known linear block codes over finite fields. In particular, two new such transforms are built from perfect codes, namely the \texti…
Multiuser Communication Based on the DFT Eigenstructure
R. M. Campello de Souza, H. M. de Oliveira, R. J. Cintra
The eigenstructure of the discrete Fourier transform (DFT) is examined and new systematic procedures to generate eigenvectors of the unitary DFT are proposed. DFT eigenvectors are…
Efficient Multiplex for Band-Limited Channels: Galois-Field Division Multiple Access
H. M. de Oliveira, R. M. Campello de Souza, A. N. Kauffman
A new Efficient-bandwidth code-division-multiple-access (CDMA) for band-limited channels is introduced which is based on finite field transforms. A multilevel code division multipl…
Radix-2 Fast Hartley Transform Revisited
H. M. de Oliveira, V. L. Sousa, H. A. N. +1
A Fast algorithm for the Discrete Hartley Transform (DHT) is presented, which resembles radix-2 fast Fourier Transform (FFT). Although fast DHTs are already known, this new approac…
Fourier Codes
R. M. Campello de Souza, E. S. V. Freire, H. M. de Oliveira
A new family of error-correcting codes, called Fourier codes, is introduced. The code parity-check matrix, dimension and an upper bound on its minimum distance are obtained from th…