163 citations · 1.5k across the 72 of their papers we have counts for
5 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…
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 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…