Mother wavelets for complex wavelet transform derived by Einstein-Podolsky-Rosen entangled state representation.
The Einstein-Podolsky-Rosen entangled state representation is applied to studying the admissibility condition of mother wavelets for complex wavelet transforms, which leads to a family of new mother wavelets. Mother wavelets thus are classified as the Hermite-Gaussian type for real wavelet transforms and the Laguerre-Gaussian type for the complex case.
Fan
Hong-Yi
HY
Department of Physics, Shanghai Jiao Tong University, Shanghai 200030, China. fhym@sjtu.edu.cn
Lu
Hai-Liang
HL