Existence and characterization of orthogonal multiple vector-valued wavelets with three-scale
作者： Qingjiang Chen , Yanhui Zhao , Hongwei Gao
DOI: 10.1016/J.CHAOS.2009.03.114
关键词:
摘要: Abstract In this article, we introduce orthogonal multiple vector-valued wavelets with three-scale, which are for vector fields, based on the notion of full rank subdivision operators. It is demonstrated that, like in scalar and multiwavelet case, existence an scaling function guarantees wavelet functions. context, however, functions as well turn out to be A method constructing a class compactly supported presented by means matrix theory. The properties packets characterized virtue operator theory time–frequency analysis method. Three orthogonality formulas concerning these obtained. Relation some physical theories such E-infinity Cantorian spacetime fractal also discussed.
harvard.edu
elsevier.com
sci-hub.se 参考文章(27)
C.A. Micchelli, Thomas Sauer, Regularity of multiwavelets Advances in Computational Mathematics. ,vol. 7, pp. 455- 545 ,(1997) , 10.1023/A:1018971524949
Zuowei Shen, Nontensor Product Wavelet Packets in $L_2 (\mathbb{R}^s )$ SIAM Journal on Mathematical Analysis. ,vol. 26, pp. 1061- 1074 ,(1995) , 10.1137/S0036141093243642
Metin Akay, Time frequency and wavelets in biomedical signal processing IEEE Press. ,(1998)
Y. Ashkenazy, M. Lewkowicz, J. Levitan, H. Moelgaard, P. E. Bloch Thomsen, K. Saermark, Discrimination of the Healthy and Sick Cardiac Autonomic Nervous System by a New Wavelet Analysis of Heartbeat Intervals Fractals. ,vol. 06, pp. 197- 203 ,(1998) , 10.1142/S0218348X98000249
Charles A. Micchelli, Thomas Sauer, ON VECTOR SUBDIVISION Mathematische Zeitschrift. ,vol. 229, pp. 621- 674 ,(1998) , 10.1007/PL00004676
Luciano Telesca, Vincenzo Lapenna, Nikos Alexis, Multiresolution wavelet analysis of earthquakes Chaos Solitons & Fractals. ,vol. 22, pp. 741- 748 ,(2004) , 10.1016/J.CHAOS.2004.02.021
Silvia Bacchelli, Mariantonia Cotronei, Thomas Sauer, Wavelets for multichannel signals Advances in Applied Mathematics. ,vol. 29, pp. 581- 598 ,(2002) , 10.1016/S0196-8858(02)00033-7
Stefan Thurner, Markus C. Feurstein, Malvin C. Teich, Multiresolution Wavelet Analysis of Heartbeat Intervals Discriminates Healthy Patients from Those with Cardiac Pathology Physical Review Letters. ,vol. 80, pp. 1544- 1547 ,(1998) , 10.1103/PHYSREVLETT.80.1544
A. Cohen, I. Daubechies, On the instability of arbitrary biorthogonal wavelet packets Siam Journal on Mathematical Analysis. ,vol. 24, pp. 1340- 1354 ,(1993) , 10.1137/0524077
Gerardo Iovane, None, Waveguiding and mirroring effects in stochastic self-similar and Cantorian ϵ(∞) universe Chaos Solitons & Fractals. ,vol. 23, pp. 691- 700 ,(2005) , 10.1016/J.CHAOS.2004.05.033