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J Neurosci Methods. 2006 Mar 15;151(2):106-13. Epub 2005 Sep 6.

Hilbert transform assisted complex wavelet transform for neuroelectric signal analysis.

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  • 1University of Kuopio, Department of Applied Physics, P.O. Box 1627, 70210 Kuopio, Finland. hannu.olkkonen@uku.fi


In this work, we present a new approach for shift invariant complex wavelet analysis of neuroelectric signals. A key idea is to preprocess the signal with the Hilbert transformer to yield an analytic signal, which is then wavelet transformed using the linear phase complex scaling and wavelet filters. In different scales, the total energy of the wavelet transform coefficients is shift invariant. The decimated analytic wavelet coefficients suffer no aliasing effects, which are predominant in conventional wavelet analysis. We show the usefulness of the present method in multi-scale analysis of the neuroelectric signal waveforms.

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