27 citations · 82 across the 12 of their papers we have counts for
6 papers · 1 filter
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…
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…
Orthogonal Multilevel Spreading Sequence Design
H. M. de Oliveira, R. M. Campello de Souza
Finite field transforms are offered as a new tool of spreading sequence design. This approach exploits orthogonality properties of synchronous non-binary sequences defined over a c…
Fourier Codes and Hartley Codes
H. M. de Oliveira, C. M. F. Barros, R. M. Campello de Souza
Real-valued block codes are introduced, which are derived from Discrete Fourier Transforms (DFT) and Discrete Hartley Transforms (DHT). These algebraic structures are built from th…