Properties of Vector-valued Multivariable Wavelet Packets with m-scale
In this paper, we introduce a sort of vector-valued wavelet packets for vector-valued multivariable function space, which are generalizations of univariate wavelet packets. A method for constructing a class of biorthogonal multivariable vector-valued wavelet packets is proposed and their nice properties are discussed by means of operator theory and time-frequency analysis method. The biorthogonality formulas concerning these wavelet packets are derived. Furthermore, it is shown how to draw new Riesz bases of space L2(Rn, Cp) by constructing a series of subspaces of the vector-valued multivariable wavelet packets.
Biorthogonal Vector-valued wavelet packets Multivariable Riesz bases
Qingjiang Chen Zongling An
School of Science, Xi’an University of Architecture & Technology, Xi’an 710055 School of Education, Nanyang institute of Technology, Nanyang 473000, China
国际会议
2009年中国控制与决策会议(2009 Chinese Control and Decision Conference)
广西桂林
英文
1826-1829
2009-06-17（万方平台首次上网日期，不代表论文的发表时间）