中国物理B ›› 2011, Vol. 20 ›› Issue (12): 120305-120305.doi: 10.1088/1674-1056/20/12/120305
陈俊华1, 范洪义1, 刘述光2
Liu Shu-Guang(刘述光)a)†, Chen Jun-Hua(陈俊华) b), and Fan Hong-Yi(范洪义)b)
摘要: In this paper, we propose the so-called continuous Fresnel-wavelet combinatorial transform which means that the mother wavelet undergoes the Fresnel transformation. This motivation can let the mother-wavelet-state itself vary from |ψ> to Fr,s+ |ψ> , except for variation within the family of dilations and translations. The Parseval's equality, admissibility condition and inverse transform of this continuous Fresnel-wavelet combinatorial transform are analysed. By taking certain parameters and using the admissibility condition of this continuous Fresnel-wavelet combinatorial transform, we obtain some mother wavelets. A comparison between the newly found mother wavelets is presented.
中图分类号: (Entanglement and quantum nonlocality)