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  • Vol. 32, Iss. 5 — Mar. 1, 2007
  • pp: 554–556

Mother wavelets for complex wavelet transform derived by Einstein–Podolsky–Rosen entangled state representation

Hong-Yi Fan and Hai-Liang Lu  »View Author Affiliations


Optics Letters, Vol. 32, Issue 5, pp. 554-556 (2007)
http://dx.doi.org/10.1364/OL.32.000554


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Abstract

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

OCIS Codes
(070.2590) Fourier optics and signal processing : ABCD transforms
(270.6570) Quantum optics : Squeezed states

ToC Category:
Quantum Optics

History
Original Manuscript: September 7, 2006
Manuscript Accepted: October 18, 2006
Published: February 2, 2007

Citation
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)
http://www.opticsinfobase.org/ol/abstract.cfm?URI=ol-32-5-554


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