Perfect-translation-invariant variable-density complex discrete wavelet transform

DOI10.1142/S0219691314600017zbMath1298.42040MaRDI QIDQ2922064

Hirosi Toda, Takashi Imamura, Zhong Zhang

Publication date: 9 October 2014

Published in: International Journal of Wavelets, Multiresolution and Information Processing (Search for Journal in Brave)

zbMATH Keywords

dual-tree complex discrete wavelet transformperfect translation invariancevariable wavelet density

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40)

Related Items (2)

Orthonormal wavelet basis with arbitrary real dilation factor ⋮ Orthonormal basis of wavelets with customizable frequency bands

Cites Work

• PERFECT-TRANSLATION-INVARIANT CUSTOMIZABLE COMPLEX DISCRETE WAVELET TRANSFORM
• CONSTRUCTION OF COMPACTLY SUPPORTED CONJUGATE SYMMETRIC COMPLEX TIGHT WAVELET FRAMES
• PERFECT TRANSLATION INVARIANCE WITH A WIDE RANGE OF SHAPES OF HILBERT TRANSFORM PAIRS OF WAVELET BASES
• INPUT-OUTPUT RELATION OF LINEAR SYSTEMS BY USING COMPLEX WAVELET PACKET TRANSFORM
• THE DESIGN OF COMPLEX WAVELET PACKET TRANSFORMS BASED ON PERFECT TRANSLATION INVARIANCE THEOREMS
• BIOLOGICAL SIGNAL ANALYSIS BY INDEPENDENT COMPONENT ANALYSIS USING COMPLEX WAVELET TRANSFORM
• DIRECTIONAL SELECTION OF TWO-DIMENSIONAL COMPLEX DISCRETE WAVELET TRANSFORM AND ITS APPLICATION TO IMAGE PROCESSING
• Ten Lectures on Wavelets
• ORTHOGONAL WAVELET TRANSFORM OF SIGNAL BASED ON COMPLEX B-SPLINE BASES
• The design of approximate Hilbert transform pairs of wavelet bases
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