THE WIDE DESIGNED DISCRETE WAVELET TRANSFORMS BASED ON THE PERFECT TRANSLATION INVARIANCE THEOREM

摘要：

　　The perfect translation invariance theorem has already been proven,which gives the condition of the perfect translation invarianee for complex discrete wavelet transforms of an arbitrary square integrable function.In this paper,three types of discrete wavelet transforms based on this theorem are introduced.One of them is designed with variable density of complex wavelets in the time and frequency domains,and another of them is designed with customizable complex wavelets,and the other is designed as a real-valued discrete wavelet transform having perfect translation invariance.

关键词： Perfect Translation Invariance Shift Invariance Complex Discrete Wavelet Transform Customizable Complex Discrete Wavelet Transform

作者: HIROSHI TODA ZHONG ZHANG TAKASHI IMAMURA

作者单位: Department of Production System Engineering,Toyohashi University of Technology, 1-1 Hibarigaoka Tenpaku-cho, Toyohashi 441-8580, Japan

会议类型: 国际会议

会议名称: 2011 International Conference on Wavelet Analysis and Pattern Recognition(2011小波分析与模式识别国际会议)

会议地点: 桂林

会议语种:英文

页码: 260-265

在线出版日期: 2011-07-10（万方平台首次上网日期，不代表论文的发表时间）