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- W790735084 abstract "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 F r,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." @default.
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- W790735084 date "2011-01-01" @default.
- W790735084 modified "2023-09-23" @default.
- W790735084 title "transform for Fresnel-transformed mother wavelets" @default.
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