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» On the analytic wavelet transform
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TIT
2010
140views Education» more  TIT 2010»
12 years 11 months ago
On the analytic wavelet transform
An exact and general expression for the analytic wavelet transform of a real-valued signal is constructed, resolving the time-dependent effects of non-negligible amplitude and fre...
Jonathan M. Lilly, Sofia C. Olhede
ICASSP
2011
IEEE
12 years 8 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
ICIP
2004
IEEE
14 years 6 months ago
Quaternion wavelets for image analysis and processing
Using the concepts of two-dimensional Hilbert transform and analytic signal, we construct a new quaternion wavelet transform (QWT). The QWT forms a tight frame and can be efficien...
Wai Lam Chan, Hyeokho Choi, Richard G. Baraniuk
ICASSP
2010
IEEE
13 years 5 months ago
Quaternionic wavelets for texture classification
This paper proposes a new texture classifier based on the Quaternionic Wavelet Transform (QWT). This recent transform separates the informations contained in the image better tha...
Raphaël Soulard, Philippe Carré
SIGMOD
2005
ACM
154views Database» more  SIGMOD 2005»
14 years 4 months ago
SHIFT-SPLIT: I/O Efficient Maintenance of Wavelet-Transformed Multidimensional Data
The Discrete Wavelet Transform is a proven tool for a wide range of database applications. However, despite broad acceptance, some of its properties have not been fully explored a...
Mehrdad Jahangiri, Dimitris Sacharidis, Cyrus Shah...