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The near shift-invariance of the dual-tree complex wavelet transform revisited. (English) Zbl 1252.42035
Authors’ 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.

MSC:
42C40 Nontrigonometric harmonic analysis involving wavelets and other special systems
94A12 Signal theory (characterization, reconstruction, filtering, etc.)
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