11 citations · 25 across the 5 of their papers we have counts for
5 papers
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…
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…
On Filter Banks and Wavelets Based on Chebyshev Polynomials
R. J. Cintra, H. M. de Oliveira, L. R. Soares
In this paper we introduce a new family of wavelets, named Chebyshev wavelets, which are derived from conventional first and second kind Chebyshev polynomials. Properties of Chebys…