The Research of orthogonal vector-valued wavelet packets

摘要：

Wavelet analysis has been developing a branch of mathematics. In this paper, the notion of vector-valued univariate wavelet packets is introduced. A new procedure for constructing the vector-valued wavelet packets is presented. Their properties are discussed by virtue of time-frequency analysis method and operator theory. Orthogonality formulas are established. Finally, two new orthogonal bases of L2(R,Cn) are constructed from these orthogonal multiple vector-valued wavelet packets.

关键词： Univariate Orthogonal Vector-valued multiresolution analysis Vector-valued wavelets Vector-valued wavelet packets

作者: Hui Wang Suluo Song

作者单位: School of Education, Nanyang Institute of Technology, Nanyang 473000, China Department of Applied Mathematics, Nanyang Institute of Technology, Nanyang 473000, China

会议类型: 国际会议

会议名称: 2009年中国控制与决策会议(2009 Chinese Control and Decision Conference)

会议地点: 广西桂林

会议语种:英文

页码: 1258-1261

在线出版日期: 2009-06-17（万方平台首次上网日期，不代表论文的发表时间）