Scaling functions generating fractional Hilbert transforms of a wavelet function

DOI10.2969/jmsj/06731275zbMath1327.42036OpenAlexW2150652328MaRDI QIDQ500103

Akira Morimoto, Takeshi Mandai, Ryuichi Ashino

Publication date: 8 October 2015

Published in: Journal of the Mathematical Society of Japan (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.jmsj/1438777450

zbMATH Keywords

multiresolution analysisHilbert transformorthonormal waveletscaling function

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Special integral transforms (Legendre, Hilbert, etc.) (44A15)

Cites Work

• Scaling functions and wavelets with vanishing moments
• PERFECT TRANSLATION INVARIANCE WITH A WIDE RANGE OF SHAPES OF HILBERT TRANSFORM PAIRS OF WAVELET BASES
• BLIND SOURCE SEPARATION OF SPATIO-TEMPORAL MIXED SIGNALS USING PHASE INFORMATION OF ANALYTIC WAVELET TRANSFORM
• On the Shiftability of Dual-Tree Complex Wavelet Transforms
• On the Hilbert Transform of Wavelets
• Blind source separation of spatio-temporal mixed signals using time-frequency analysis
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