Construction of a type of Biorthogonal Binary Wave Functions by Multiresolution Analysis Approach

摘要：

Wavelet analysis is nowadays a widely used tool in applied mathematics. The concept of vector-valued binary wavelets with two-scale dilation factor associated with an orthogonal vector-valued scaling function is introduced. The existence of orthogonal vector-valued wavelets with two-scale is discussed. A necessary and sufficient condition is provided by means of vector-valued multiresolution analysis and paraunitary vector filter bank theory. An algorithm for constructing a sort of orthogonal vector-valued wavelets with compact support is proposed, and their orthogonal properties are investigated.

关键词： Dilation equation vector-valued multiresolution analysis binary scaling functions binary wavelets matrix theory orthogonal frame wavelets

作者: Delin Hua

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

会议类型: 国际会议

会议名称: 2010 4th International Conference on Intelligent Information Techonlogy Application(第四届智能信息技术应用国际学术研讨会 IITA 2010)

会议地点: 秦皇岛

会议语种:英文

页码: 35-38

在线出版日期: 2010-11-05（万方平台首次上网日期，不代表论文的发表时间）