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TSP
2011
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13 years 4 months ago
On the Hilbert Transform of Wavelets
A wavelet is a localized function having a prescribed number of vanishing moments. In this correspondence, we provide precise arguments as to why the Hilbert transform of a wavele...
Kunal Narayan Chaudhury, Michael Unser
ICASSP
2009
IEEE
14 years 4 months ago
The fractional Hilbert transform and dual-tree Gabor-like wavelet analysis
We 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 phas...
Kunal Narayan Chaudhury, Michael Unser
ICASSP
2011
IEEE
13 years 1 months ago
Design of Hilbert transform pairs of orthonormal wavelet bases with improved analyticity
This paper proposes a class of Hilbert transform pairs of orthonormal wavelet bases with improved analyticity. To improve the analyticity of complex wavelet, a different allpass ...
Xi Zhang