27 citations · 229 across the 64 of their papers we have counts for
49 papers · 1 filter
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…
A Short Survey on Arithmetic Transforms and the Arithmetic Hartley Transform
R. J. Cintra, H. M. de Oliveira
Arithmetic complexity has a main role in the performance of algorithms for spectrum evaluation. Arithmetic transform theory offers a method for computing trigonometrical transforms…
Wavelets for Elliptical Waveguide Problems
M. M. S. Lira, H. M. de Oliveira, R. J. Cintra +1
New elliptic cylindrical wavelets are introduced, which exploit the relationship between analysing filters and Floquet's solution of Mathieu differential equations. It is shown tha…
Application of Enhanced-2D-CWT in Topographic Images for Mapping Landslide Risk Areas
V. V. Vermehren Valenzuela, R. D. Lins, H. M. de Oliveira
There has been lately a number of catastrophic events of landslides and mudslides in the mountainous region of Rio de Janeiro, Brazil. Those were caused by intense rain in localiti…
Shannon and Renyi Entropy of Wavelets
H. M. de Oliveira
This paper reports a new reading for wavelets, which is based on the classical 'De Broglie' principle. The wave-particle duality principle is adapted to wavelets. Every continuous…
Huygens Wave Equations in the Field of 2D-CWT
V. V. Vermehren, H. M. de Oliveira
In this paper it is shown the performing of an optical transform to state the scalar diffraction in the formulation of the wavelet transform and the 'wave equations'. From there, a…
Quantum Decoding with Venn Diagrams
C. M. F. Barros, Francisco Marcos de Assis, H. M. de Oliveira
The quantum error correction theory is as a rule formulated in a rather convoluted way, in comparison to classical algebraic theory. This work revisits the error correction in a no…
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…
The Discrete Cosine Transform over Prime Finite Fields
M. M. Campello de Souza, H. M. de Oliveira, R. M. Campello de Souza +1
This paper examines finite field trigonometry as a tool to construct trigonometric digital transforms. In particular, by using properties of the k-cosine function over GF(p), the F…
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…
New Algorithms for Computing a Single Component of the Discrete Fourier Transform
G. Jerônimo da Silva, R. M. Campello de Souza, H. M. de Oliveira
This paper introduces the theory and hardware implementation of two new algorithms for computing a single component of the discrete Fourier transform. In terms of multiplicative co…
Genomic Imaging Based on Codongrams and a^2grams
E. A. Bouton, H. M. de Oliveira, R. M. Campello de Souza +1
This paper introduces new tools for genomic signal processing, which can assist for genomic attribute extracting or describing biologically meaningful features embedded in a DNA. T…
A Family of Wavelets and a new Orthogonal Multiresolution Analysis Based on the Nyquist Criterion
H. M. de Oliveira, L. R. Soares, T. H. Falk
A generalisation of the Shannon complex wavelet is introduced, which is related to raised cosine filters. This approach is used to derive a new family of orthogonal complex wavelet…
Converting ECG and other paper legated biomedical maps into digital signals
A. R. Gomes e Silva, H. M. de Oliveira, R. D. Lins
This paper presents a digital signal processing tool developed using MatlabTM, which provides a very low-cost and effective strategy for analog-to-digital conversion of legated pap…
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…
A Flexible Implementation of a Matrix Laurent Series-Based 16-Point Fast Fourier and Hartley Transforms
R. C. de Oliveira, H. M. de Oliveira, R. M. Campello de Souza +1
This paper describes a flexible architecture for implementing a new fast computation of the discrete Fourier and Hartley transforms, which is based on a matrix Laurent series. The…
Wavelet Analysis as an Information Processing Technique
H. M. de Oliveira, D. F. de Souza
A new interpretation for the wavelet analysis is reported, which can is viewed as an information processing technique. It was recently proposed that every basic wavelet could be as…
Fourier Eigenfunctions, Uncertainty Gabor Principle and Isoresolution Wavelets
L. R. Soares, H. M. de Oliveira, R. J. Cintra +1
Shape-invariant signals under Fourier transform are investigated leading to a class of eigenfunctions for the Fourier operator. The classical uncertainty Gabor-Heisenberg principle…
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…
Spread-Spectrum Based on Finite Field Fourier Transforms
H. M. de Oliveira, J. P. C. L. Miranda, R. M. Campello de Souza
Spread-spectrum systems are presented, which are based on Finite Field Fourier Transforms. Orthogonal spreading sequences defined over a finite field are derived. New digital multi…
Fault Analysis Using Gegenbauer Multiresolution Analysis
L. R. Soares, H. M. de Oliveira
This paper exploits the multiresolution analysis in the fault analysis on transmission lines. Faults were simulated using the ATP (Alternative Transient Program), considering signa…
Simulation of Color Blindness and a Proposal for Using Google Glass as Color-correcting Tool
H. M. de Oliveira, J. Ranhel, R. B. A. Alves
The human visual color response is driven by specialized cells called cones, which exist in three types, viz. R, G, and B. Software is developed to simulate how color images are di…
On Galois-Division Multiple Access Systems: Figures of Merit and Performance Evaluation
J. P. C. L. Miranda, H. M. de Oliveira
A new approach to multiple access based on finite field transforms is investigated. These schemes, termed Galois-Division Multiple Access (GDMA), offer compact bandwidth requiremen…
Multiresolution Division Multiplex (MRDM): A New Wavelet-based Multiplex System
H. M. de Oliveira, E. A. Bouton
An original multiplex scheme is introduced, which is based on Mallat's multiresolution formulation of wavelet systems. This system is adaptable and its implementation is well match…