Designing Hilbert-Pair of wavelets: Recent progress and future trends

@article{Tay2007DesigningHO,
title={Designing Hilbert-Pair of wavelets: Recent progress and future trends},
author={D.B.H. Tay},
journal={2007 6th International Conference on Information, Communications & Signal Processing},
year={2007},
pages={1-5}
}

The dual-tree complex wavelet transform is a recent development that overcomes some of the limitations, such as shift variancy, of the traditional critically sampled real wavelet transform. The transform is based on the use of a pair of filter banks whose corresponding wavelet functions are related through the Hilbert transform. The design of Hilbert-Pairs is more complicated than a single filter bank as there are more constraints that need to be satisfied. This area is still relatively new and… CONTINUE READING