Inversion formula and Parseval theorem for complex continuous wavelet transforms studied by entangled state representation  

作　　者：胡利云 范洪义 

机构地区：[1]College of Physics and Communication Electronics,Jiangxi Normal University [2]Department of Physics,Shanghai Jiao Tong University

出　　处：《Chinese Physics B》2010年第7期263-267,共5页中国物理B（英文版）

基　　金：supported by the National Natural Science Foundation of China (Grant No. 10775097);the Research Foundation of the Education Department of Jiangxi Province of China (Grant No. GJJ10097)

摘　　要：In a preceding letter （2007 Opt. Lett. 32 554） we propose complex continuous wavelet transforms and found Laguerre-Gaussian mother wavelets family. In this work we present the inversion formula and Parseval theorem for complex continuous wavelet transform by virtue of the entangled state representation, which makes the complex continuous wavelet transform theory complete. A new orthogonal property of mother wavelet in parameter space is revealed.In a preceding letter （2007 Opt. Lett. 32 554） we propose complex continuous wavelet transforms and found Laguerre-Gaussian mother wavelets family. In this work we present the inversion formula and Parseval theorem for complex continuous wavelet transform by virtue of the entangled state representation, which makes the complex continuous wavelet transform theory complete. A new orthogonal property of mother wavelet in parameter space is revealed.

关 键 词：Parseval theorem complex continuous wavelet transforms entangled state representation 

分 类 号：O431.2[机械工程—光学工程]