Hilbert Transform Pairs of Orthonormal Symmetric Wavelet Bases using Allpass Filters

Xi Zhang, Dong Fang Ge · Proceedings - International Conference on Image Processing · 2007

This paper proposes a new class of Hilbert transform pairs of orthonormal symmetric wavelet bases. The associated orthonormal filter banks with exactly linear phase responses are realized by using complex and real allpass filters, respectively. The filter characteristics with the maximally flat responses are investigated to show the effectiveness of the proposed pairs.

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