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Shift-invariant B-spline wavelet transform for multi-scale analysis of neuroelectric signals

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2 Author(s)
Olkkonen, H. ; Dept. of Phys., Univ. of Kuopio, Kuopio, Finland ; Olkkonen, J.T.

In wavelet theory the two-scale dilation equation has a central role. B-splines serve as good candidates for wavelet analysis, since they obey the two-scale dilation equation. This work describes the B-spline wavelet transform, which is based on the polyphase decomposition of the two-scale dilation equation. We construct a linear quadrature mirror filter (QMF) B-spline wavelet filter bank, which can be effectively implemented by the polyphase filters. The interpolating property of the two-scale dilation equation is applied for constructing the shift-invariant complex QMF B-spline wavelets. The validity of the B-spline wavelet transform is warranted in multi-scale analysis of neuroelectric signal waveforms.

Published in:

Signal Processing, IET  (Volume:4 ,  Issue: 6 )