基于埃尔米特多项式的子波计算新方法

A NOVEL PROCEDURE OF WAVELET COMPUTATION BASED ON HERMITE POLYNOMIALS

介绍了一种递推计算震源子波的简便方法,利用埃尔米特多项式与高斯函数的乘积来计算,不必直接求导数,也不需要这些多项式的显式表达式。结果表明,计算的子波能更精确地模拟震源脉冲波形。

This paper introduces a novel procedure for computing source waveforms, in which the direct derivation is not necessary, and the explicit expressions for these polynomials are also not required. The computation is performed recurrently via the product of a Hermite polynomial and the Gaussian. Numerical tests reveal that the computed wavelets can model source pulse more precisely.