27 citations · 229 across the 64 of their papers we have counts for
9 papers · 1 filter
A Kotel'nikov Representation for Wavelets
H. M. de Oliveira, R. J. Cintra, R. C. de Oliveira
This paper presents a wavelet representation using baseband signals, by exploiting Kotel'nikov results. Details of how to obtain the processes of envelope and phase at low frequenc…
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…
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…
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…
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…
Compactly Supported One-cyclic Wavelets Derived from Beta Distributions
H. M. de Oliveira, G. A. A. de Araujo
New continuous wavelets of compact support are introduced, which are related to the beta distribution. They can be built from probability distributions using 'blur'derivatives. The…
The Fourier-Like and Hartley-Like Wavelet Analysis Based on Hilbert Transforms
L. R. Soares, H. M. de Oliveira, R. J. Cintra
In continuous-time wavelet analysis, most wavelet present some kind of symmetry. Based on the Fourier and Hartley transform kernels, a new wavelet multiresolution analysis is propo…
Taylor Series as Wide-sense Biorthogonal Wavelet Decomposition
H. M. de Oliveira, R. D. Lins
Pointwise-supported generalized wavelets are introduced, based on Dirac, doublet and further derivatives of delta. A generalized biorthogonal analysis leads to standard Taylor seri…