论文信息 - Tight wavelet frames generated by three symmetric B-spline functions with high vanishing moments

Tight wavelet frames generated by three symmetric B-spline functions with high vanishing moments

In this note, we show that one can derive from any B-spline function of order m (m ∈ N) an MRA tight wavelet frame in L 2 (R) that is generated by the dyadic dilates and integer shifts of three compactly supported real-valued symmetric wavelet functions with vanishing moments of the highest possible order m.

Bin Han | Qun Mo | B. Han | Qun Mo

[1] Deguang Han,et al. Frames, bases, and group representations , 2000 .

[2] A. Ron,et al. Affine Systems inL2(Rd): The Analysis of the Analysis Operator , 1997 .

[3] B. Han. On Dual Wavelet Tight Frames , 1997 .

[4] Alexander Petukhov. Symmetric Framelets (Preprint) , 2000 .

[5] C. Chui,et al. Compactly supported tight and sibling frames with maximum vanishing moments , 2001 .

[6] C. Chui,et al. Compactly supported tight frames associated with refinable functions , 2000 .

[7] I. Daubechies,et al. Framelets: MRA-based constructions of wavelet frames☆☆☆ , 2003 .

[8] Ingrid Daubechies,et al. Ten Lectures on Wavelets , 1992 .

[9] G. Weiss,et al. A First Course on Wavelets , 1996 .