Study on Admissible Condition of Wavelet Function

Lijian Yang · 2005

In recently years,the new mathematic tool-wavelet transform is rapidly developed.First,the author simply introduced the distinction between Fourier transform and wavelet transform,then discussed the structure of the wavelet function ψ(t) on wavelet transform. With the quality of δ function and parseval equation,the converse transform of wavelet transform was proved.Thereby the admissible condition of the wavelet function was derived.The last,the equivalence proposition of admissible condition was discussed and proved.

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