DocumentCode
710224
Title
Fractional Hilbert Transforms of Biorthogonal Wavelets
Author
Morimoto, Akira ; Ashino, Ryuichi ; Ikebe, Kazuma ; Tatsumi, Motoi ; Mandai, Takeshi
Author_Institution
Inf. Sci., Osaka Kyoiku Univ., Kashiwara, Japan
fYear
2015
fDate
13-15 April 2015
Firstpage
347
Lastpage
352
Abstract
We show that the fractional Hilbert transform preserves the biorthogonal wavelet property. For a naturally generated biorthogonal wavelet pair constructed from a given biorthogonal scaling pair, we propose a design to construct a better biorthogonal scaling pair for the naturally generated biorthogonal wavelet pair using the fractional Hilbert transform. We also propose a calculation method for low-pass and high-pass filters.
Keywords
Hilbert transforms; filtering theory; filters; wavelet transforms; biorthogonal scaling pair; biorthogonal wavelet pair; biorthogonal wavelet property; calculation method; fractional Hilbert transforms; high-pass filters; low-pass filters; Continuous wavelet transforms; Electronic mail; Fourier transforms; Multiresolution analysis; biorthogonal filters; biorthogonal wavelet; fractional Hilbert transform; multiresolution analysis; scaling function;
fLanguage
English
Publisher
ieee
Conference_Titel
Information Technology - New Generations (ITNG), 2015 12th International Conference on
Conference_Location
Las Vegas, NV
Print_ISBN
978-1-4799-8827-3
Type
conf
DOI
10.1109/ITNG.2015.62
Filename
7113497
Link To Document