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在声阻抗技术的子波处理中,根据最小平方原理及在有限时窗范围内,用求解托布里兹矩阵方程组来求取反褶积因子的传统方法,可由求解实对称矩阵方程组来替代。文中的理论分析及资料处理实例说明,由于托布里兹矩阵算法采用了截断技术,使原始数据没有得到充分的利用,而且进行斜坡处理的结果,又使(M_0,M_1)两端的一部分数据失真。从而影响到了系数矩阵及常数矩阵的精度。而采用实对称矩阵算法求解反褶积因子,则不需要进行斜坡处理,所以数据的使用率及真实性高,求得的反褶积因子比托布里兹矩阵算法在质量上要好。在计算工作量方面,实对称矩阵算法比托布里兹矩阵算法占用机器的内存量大,花费机时多,但是,为了求取一个精度较高的反褶积因子,我们认为多花费点机时是合算的。
According to the least square principle and the traditional method of solving the deconvolution factor in solving the Toeplitz matrix equation system in the wavelet of acoustic impedance technique, the real symmetric matrix equations Alternative. The theoretical analysis and data processing examples in this paper show that due to the truncation technique used in Tobritz matrix algorithm, the original data is not fully utilized, and the result of the ramp processing also distorts a part of data (M_0, M_1) . Thus affecting the coefficient matrix and constant matrix accuracy. The real symmetric matrix algorithm to solve the deconvolution factor, you do not need to deal with the slope, so the data usage and high authenticity, the obtained deconvolution factor is better than the Tobritz matrix algorithm in quality. The actual symmetric matrix algorithm consumes more machine time and memory than the Toeplitz matrix algorithm in calculating the workload, however, in order to obtain a high degree of deconvolution factor, we think that more cost points When it is cost-effective.