Comparación del operador de energía no lineal y la transformada de Hilbert en la estimación de la amplitud y frecuencia instantáneas (Comparison of the non linear energy operator and the Hilbert transform in the estimation of the instantaneous amplitude and frequency)

Mary Diaz (, Rosana Esteller (

1Universidad Simon Bolivar

This paper appears in: Revista IEEE América Latina

Publication Date: March 2007
Volume: 5,   Issue: 1 
ISSN: 1548-0992

The instantaneous amplitude (ai) and frequency (fi) parameters of a biomedical signal can be useful for identification of signal physiological states or state changes. In this article the features ai and fi of simulated and experimental (real EEG and ECG) signals, are estimated using three methods: one based on the Hilbert Transform (HT), a modified version of this that improves the fi estimation in experimental signals (HTM), and the energy separation algorithm (DESA1), based on Teager’s energy operator (TEO). The algorithm comparison is made using the average relative error obtained in the signals’ demodulation process, their noise sensitivity, and computational efficiency. The obtained results showed that the HTM method produces the least fi estimation errors in noisy signals, and depending on the kind of signal considered, DESA1 and HTM methods produce the least ai estimation errors.

Index Terms:
Hilbert transform, Instantaneous amplitude, instantaneous frequency, instantaneous phase, Teager’s energy operator   

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