En este trabajo presentamos el diseño de una wavelet ortogonal, infinitamente oscilante, localizada en el tiempo con decaimiento 1=jtjn y de banda limitada. Su aplicación conduce a la descomposición de señales en ondas de frecuencia instantánea bien definida. Presentamos además el algoritmo de implementación para el análisis y síntesis basado en la Transformada Rápida de Fourier con la misma complejidad que el algoritmo de Mallat. ]]>
Palabras clave: wavelet tipo pasa-banda; algoritmo de Mallat; FFT; análisis de multirresolución; frecuencia instantánea.
Abstract
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.
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*Centro de Matemática Aplicada, Universidad de San Martín, Argentina. E-Mail: mfabio@unsam.edu.ar ]]>
†Centro de Matemática Aplicada, Universidad de San Martín y Escuela Superior Técnica del Ejército “General Manuel N. Savio”, I.E.S.E., Argentina. E-Mail: eserrano@unsam.edu.ar