Resumo

FABIO, Marcela  e  SERRANO, Eduardo P. Infinitely oscillating wavelets and an efficient implementation algorithm based on the FFT. Rev. Mat [online]. 2015, vol.22, n.1, pp.61-69. ISSN 1409-2433.

In this work we present the design of an orthogonal wavelet, infinitely oscillating, located in time with decay 1=jtjn and limited-band. Its application leads to the signal decomposition in waves of instantaneous, well defined frequency. We also present the implementation algorithm for the analysis and synthesis based on the Fast Fourier Transform (FFT) with the same complexity as Mallat’s algorithm.

Palavras-chave : pass-band wavelet; Mallat’s algorithm; FFT; multiresolution analysis; instantaneous frequency.

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