论文部分内容阅读
Ｂ－样条正交小波在信号分析方面有着重要的应用。由于Ｂ－样条正交小波随着阶次的升高将导致频域内支集缩小，因而分辨信号不同频率成分的能力将大大增强。因此，研究高阶Ｂ－样条正交小波的简便构造方法很有实际意义。本文独立地给出了一个构造高阶Ｂ－样条正交小波的适于计算机数值计算的递推算法，并给出了构造１１阶以下Ｂ－样条正交小波所需的系数，以供读者利用。同时还给出了一个在频域内计算脉冲响应系数的简便方法。
B-spline orthogonal wavelet has important applications in signal analysis. As the B-spline orthogonal wavelet increases with the order will lead to the narrowing of the frequency domain, so the ability to distinguish different frequency components of the signal will be greatly enhanced. Therefore, it is of great practical significance to study the simple construction method of high-order B-spline orthogonal wavelet. In this paper, a recursive algorithm suitable for computer numerical computation for constructing high-order B-spline orthogonal wavelets is given independently. The coefficients needed to construct the 11th-order B-spline orthogonal wavelet are given for Readers use. A simple method of calculating impulse response coefficients in the frequency domain is also given.