Revista de Matemática: Teoría y Aplicaciones ISSN Impreso: 1409-2433 ISSN electrónico: 2215-3373

OAI: https://www.revistas.ucr.ac.cr/index.php/matematica/oai
Infinitely oscillating wavelets and a efficient implementation algorithm based the FFT
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Keywords

pass-band wavelet
Mallat’s algorithm
FFT
multiresolution analysis
instantaneous frequency
wavelet tipo pasa-banda
algoritmo de Mallat
FFT
análisis de multirresolución
frecuencia instantánea

How to Cite

Fabio, M., & Serrano, E. P. (2015). Infinitely oscillating wavelets and a efficient implementation algorithm based the FFT. Revista De Matemática: Teoría Y Aplicaciones, 22(1), 61–69. https://doi.org/10.15517/rmta.v22i1.17552

Abstract

In this work we present the design of an orthogonal wavelet, infinitely oscillating, located in time with decay 1/|t|n and limited-band. Its appli- cation 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.

https://doi.org/10.15517/rmta.v22i1.17552
PDF (Español (España))

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