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Half-Delay B-Spline Filter for Construction of Shift-Invariant Wavelet Transform

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

We introduce a general framework for the shift-invariant biorthogonal wavelet transform. The method is based on the two parallel wavelet transforms, where the wavelets form a Hilbert transform pair. This condition requires that the impulse responses of the scaling filters are half-delayed versions of each other:ho [n] and ho [n-1/2]. The ideal half-delay operator is constructed by the interpolation and decimation procedure based on the polyphase decomposition of the two-scale B-spline equation. The present method yields linear phase and shift-invariant wavelet transform coefficients and can be adapted to any of the existing biorthogonal DWT filter bank.

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Circuits and Systems II: Express Briefs, IEEE Transactions on  (Volume:54 ,  Issue: 7 )