Current Development in Theory and Applications of Wavelets
Volume 3, Issue 2, Pages 97 - 106
(August 2009)
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SHIFT-INVARIANT COMPLEX CQF WAVELETS
H. Olkkonen (Finland) and J. T. Olkkonen (Finland)
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Abstract:
This work introduces a framework for the shift-invariant complex conjugate quadrature filter (CQF) wavelet transform. The shift-invariance of the CQF wavelets is attained by a half-sample delay operator. The real and imaginary parts of the CQF wavelet sequences form Hilbert pairs, which yields analytic transform coefficients. The present method can be adapted to all existing orthogonal real-valued CQF wavelet filter banks. |
| Keywords and phrases: discrete wavelet transform, shift-invariance, multirate signal processing, fractional delay filters. |
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