一种扩展的第二代小波构造及应用

Construction and Application of An Extended Wavelet

在第二代小波构造的基础上,提出了一种扩展的第二代小波构造方法。该方法将Sweldens构造小波的内插细分多项式,由奇次扩展到正整数次,从而使小波消失矩选择范围由偶数扩展到正整数。论文用第二代小波与扩展的第二代小波对光纤陀螺漂移进行了滤波仿真实验,结果表明,扩展的第二代小波能得到比较理想的滤波效果,该方法为应用提供了更广泛的小波选择。

A new extended construction method of the second generation wavelet based on construction of the second wavelet was proposed. By the method, the order of the Sweldens interpolating polynomial was extended from odd to natural number, and the selected range of vanishing wavelet moment was extended from even to natural number. Using the extended second generation wavelet and the second wavelet, the simulation experiments of filtering the optic fiber gyro drift was carried out. The Simulated results show that the extended second generation wavelet can supply more wavelets and ideal application effect.