A novell class of wavelet—X-wavelet is proposed in this paper.Super-Gaussian spectrm function is introduced as the specturm of the scaling function,its Riesz bounds and orthogonal,almost orthogonal conditions in frequency domain are derived.And then the two-scale sequence coefficients h_k(or the low pass filter h) are found.Comarison analysis shows that:Some of the classical wavelets are included in X-wavelet class.or approximated closely by a specific member of this new class of wavelets.
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