• 作者： Chen, Ming-Quayer; Hwang, Chyi; Shih, Yen-Ping
• 中文摘要： 應用具有緊緻支的Daubechies全實數小波函數來建造正交區間小波基底的方法業已發表。於本文中,我們詳細推導由Daubechies小波來建造正交區間小波的演算法,並且推導出全實數軸與區間小波兩者之間的精確關係式。藉由這些關係式,吾人可將計算Daubechies小波聯結係數的演算法則,直接應用在正交區間小波的相關計算上。
• 英文摘要： Recently, a new family of interval wavelets based on adapting the Daubechies compactly supported wavelets for the real line has been constructed in the literature. In this paper we give complete algorithms for constructing this family of interval wavelets and relate the interval wavelets to the Daubechies compactly supported orthonormal wavelet bases. More precisely, we derive explicit expressions for representing interval wavelets in linear combinations of the Daubechies whole-line wavelet bases. These expressions allow us to use the computational algorithms developed for the Daubechies wavelets in the application of interval wavelets.
• 中文關鍵字： 小波; 正交基底
• 英文關鍵字： Wavelet; Orthogonal Base