The Fractional Hilbert Transform And Dual-Tree Gabor-Like Wavelet Analysis

Chaudhury, Kunal NarayanUnser, Michael2010-11-302010-11-302010-11-30200910.1109/ICASSP.2009.4960306https://infoscience.epfl.ch/handle/20.500.14299/59925WOS:000268919201341We provide an amplitude-phase representation of the dual-tree complex wavelet transform by extending the fixed quadrature relationship of the dual-tree wavelets to arbitrary phase-shifts using the fractional Hilbert transform. (fHT). The fHT is a generalization of the Hilbert transform that extends the quadrature phase-shift action of the latter to arbitrary phase-shifts-a real shift parameter controls this phase-shift action.Fractional Hilbert TransformDual-Tree Complex Wavelet Transform (DT-CWT)B-spline WaveletGabor FunctionBasesPairsThe Fractional Hilbert Transform And Dual-Tree Gabor-Like Wavelet Analysistext::conference output::conference proceedings::conference paper