Art

J-GLOBAL ID：201602255565332258   Reference number：16A1227017

A New Class of Hilbert Pairs of Almost Symmetric Orthogonal Wavelet Bases

ほぼ対称な直交ウェーブレット基底の新しいクラスのHilbertペア

Author (2)： WANG Daiwei (Department of Communication Engineering and Informatics, The University of Electro-Communications) ,  ZHANG Xi (Department of Communication Engineering and Informatics, The University of Electro-Communications)
Material： IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences (Web)  (IEICE Trans Fundam Electron Commun Comput Sci (Web))
Volume： E99.A  Issue： 5  Page： 884-891(J-STAGE)  Publication year： 2016 
JST Material Number： U0466A  ISSN： 1745-1337  Document type： Article
Article type： 原著論文  Country of issue： Japan (JPN)  Language： ENGLISH (EN)

Thesaurus term： *wavelet transform ,  orthogonality ,  symmetry ,  FIR filter ,  low pass filter ,  group delay frequency characteristic ,  *basis ,  Hilbert transformation
Semi thesaurus term： *Dual-tree complex wavelet transform ,  low pass filter ,  group delay ,  symmetry ,  orthogonality

Author keywords (5)： DTCWT ,  Hilbert transform pair ,  almost symmetric orthogonal wavelets ,  FIR filter ,  Remez exchange algorithm

JST classification (1)： Signal theory  (ND02020G)

Reference (24)：

• [1] I. Daubechies, Ten Lectures on Wavelets, SIAM, Philadelphia, PA, 1992.
• [2] T.W. Parks and J.H. McClellan, “Chebyshev approximation for nonrecursive digital filters with linear phase,” IEEE Trans. Circuit Theory, vol.19, no.2, pp.189-194, March 1972.
• [3] T.I. Laakso, V. Valimaki, M. Karjalainen, and U.K. Laine, “Splitting the unit delay [FIR/all pass filters design],” IEEE Signal Process. Mag., vol.13, no.1, pp.30-60, Jan. 1996.
• [4] I.W. Selesnick, J.E. Odegard, and C.S. Burrus, “Nearly symmetric orthogonal wavelets with non-integer DC group delay,” 1996 IEEE Digital Signal Processing Workshop Proceedings, pp.431-434, 1996.
• [5] D. Wei and A.C. Bovik, “Generalized coiflets with nonzero-centered vanishing moments,” IEEE Trans. Circuits Syst. II, vol.45, no.8, pp.988-1001, Aug. 1998.

Terms in the title (4)： 対称 ,  ウェーブレット ,  基底 ,  クラス