The dual-tree complex wavelet transform (DT-CWT) is an enhancement of the conventional discrete wavelet transform (DWT) due to a higher degree of shift-invariance and a greater directional selectivity, finding its applications in signal and image processing. This paper presents a quantitative proof of the superiority of the DT-CWT over the DWT in case of modulated wavelets.
Barri, A, Dooms, A & Schelkens, P 2012, 'The near shift-invariance of the dual-tree complex wavelet transform revisited', Journal of Mathematical Analysis and Applications, vol. 389, no. 2, pp. 1303-1314. <http://dx.doi.org/10.1016/j.jmaa.2012.01.010>
Barri, A., Dooms, A., & Schelkens, P. (2012). The near shift-invariance of the dual-tree complex wavelet transform revisited. Journal of Mathematical Analysis and Applications, 389(2), 1303-1314. http://dx.doi.org/10.1016/j.jmaa.2012.01.010
@article{7a6283f6aa9e4bfba45a4e59aa657d25,
title = "The near shift-invariance of the dual-tree complex wavelet transform revisited",
abstract = "The dual-tree complex wavelet transform (DT-CWT) is an enhancement of the conventional discrete wavelet transform (DWT) due to a higher degree of shift-invariance and a greater directional selectivity, finding its applications in signal and image processing. This paper presents a quantitative proof of the superiority of the DT-CWT over the DWT in case of modulated wavelets.",
keywords = "Dual-tree complex wavelet transform, Modulated, Shift-variance",
author = "Adriaan Barri and Ann Dooms and Peter Schelkens",
year = "2012",
month = may,
day = "15",
language = "English",
volume = "389",
pages = "1303--1314",
journal = "Journal of Mathematical Analysis and Applications",
issn = "0022-247X",
publisher = "ACADEMIC PRESS INC ELSEVIER SCIENCE",
number = "2",
}