Bd小波的滤波参数与小波变换快速算法

Ｂｄ小波是以基数Ｂ样条为平滑九的导数小波，它们在许多方面都地现有的高斯序列导上波与Ｍａｌｌａｔ导数小波，可广泛应用于信号分析，模式识，故障诊断，数据压缩，信噪分离等场合。文中详细分析了如何快速计算Ｂｄ小波的滤波参数与采用Ｂｄ小波的小波变换，如何从时域特性与频域特性两方面选择所需的Ｂｄ小波。

FAST ALGORITHMS OF FILTER COEFFICIENTS AND WAVELET TRANSFORM FOR Bd WAVELETS

Bd wavelets refer to a kind of derivative wavelets based on cardinal B splines. In many respects this kind of wavelets is more superior than existing derivative wavelets such as Gaussian function based ones and Mallat's ones. They can be used for signal analysis, pattern identification, failure diagnosis, data compression, noise reduction, etc. This paper describes in detail how to calculate filter coefficients of Bd wavelets quickly, how to implement wavelet transform with Bd wavelets quickly, and how to choose a desirable Bd wavelet both in time domain and frequency domain.