测不准常数与拟样条小波
Uncertainty constants and quasispline wavelets
摘要:
在1996年崔和王证明了不确定常数的尺度和小波函数趋于无穷大的光滑性的小波增长的一个广泛的一类小波,如Daubechies小波和样条小波。我们构造了一类新的小波族(拟样条小波),其不确定常数趋于构造中所用的Meyer小波函数。
英文摘要:
In 1996 Chui and Wang proved that the uncertainty constants of scaling and wavelet functions tend to infinity as smoothness of the wavelets grows for a broad class of wavelets such as Daubechies wavelets and spline wavelets. We construct a class of new families of wavelets (quasispline wavelets) whose uncertainty constants tend to those of the Meyer wavelet function used in construction.
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