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Time-Frequency Characterization using Instantaneous Moment Concept: Theory and Applications

Abstract : The instantaneous frequency law (IFL) is a very important element when the physical parameters of the corresponding signal have to be evaluated. Blind equalisation, modulation recognition and mechanical diagnostic are just three domains where the non-stationarity behavior of the signal imposes the IFL estimation. Generally, an IFL is composed by slowly varying time-frequency structures separated by fast transitions which could be considered as phase discontinuities. Digital phase modulations or signals propagated trough a multipath channel are typical examples of IFLs having fast transient parts. The common methods employed for these operations are wavelet transform and Cohen's class time-frequency representation, respectively. In this paper we propose an alternative based on the instantaneous moments. By an appropriate choice of the moment order and lags it is possible to accurately estimate the both transient and slowly time-frequency parts. While this method uses one dimensional data and, thanks to its recursive structure, it is well suited for real time applications. Therefore, its real-time implementation on TMS320C6x structure is described. On the other hand, few examples on realistic data will show the practical interest for this method.
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https://hal.archives-ouvertes.fr/hal-00349542
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Soumis le : mercredi 31 décembre 2008 - 17:07:04
Dernière modification le : vendredi 6 novembre 2020 - 04:09:17
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Cedric Cornu, Cornel Ioana, André Quinquis, Srdjan Stankovic. Time-Frequency Characterization using Instantaneous Moment Concept: Theory and Applications. IEEE International Symposium on Industrial Electronics, Jul 2006, Montreal, Canada. pp.559-564, ⟨10.1109/ISIE.2006.295519⟩. ⟨hal-00349542⟩

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