ICASSP
2011
IEEE
12 years 8 months ago
2011
IEEE
The notion of the 1-D analytic signal is well understood and has found many applications. At the heart of the analytic signal concept is the Hilbert transform. The problem in exte...
TSP
2010
12 years 11 months ago
2010
The dual-tree complex wavelet transform (DT- WT) is known to exhibit better shift-invariance than the conventional discrete wavelet transform. We propose an amplitude-phase represe...
TSP
2011
12 years 11 months ago
2011
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...
MOC
2002
13 years 3 months ago
2002
The authors study the Hilbert Transform on the real line. They introduce some polynomial approximations and some algorithms for its numerical evaluation. Error estimates in uniform...
ICASSP
2009
IEEE
13 years 11 months ago
2009
IEEE
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...