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TSP
2011
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13 years 2 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 2 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
12 years 11 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