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.
© 2007 Optical Society of America
Original Manuscript: September 7, 2006
Manuscript Accepted: October 18, 2006
Published: February 2, 2007
Hong-Yi Fan and Hai-Liang Lu, "Mother wavelets for complex wavelet transform derived by Einstein-Podolsky-Rosen entangled state representation," Opt. Lett. 32, 554-556 (2007)