航测系统对典型模拟异常的响应

THE RESPONSES OF THE AIRBORNE MEASURING SYSTEMS TO THE TYPICAL MODEL ANOMALY

本文采用升余弦波作为典型的激励波,模拟野外的矿体异常,研究航测系统对升余弦波的时间域暂态响应。作者采用Laplace反变换的方法,求得一阶、二阶、三阶系统对升余弦波的时域响应解析表达式。同时根据Runge—Kutta法,用计算机迭代求解微分方程,二者得到了相同的时域解。进而研究了决定系统特性的关键参数——零。

By employing the raised-cosine wave as typical excitation, modeling the anomalies of the ore bodies in the field, the present paper makes a study of the transient response of the airbone measuring system to the raised-cosine wave.The author has obtained, adopting the inverse Laplace transformation method, the analytical expressions of the time domain responses of first-order, second-order and third-order system to the raised-cosine wave.On this basis, the effects of pole-zero locations on the measured results, which are the critical parameters determining the characteristics of th system, have been studied further.The equations correcting the misalignment of peak points of anomalou curves are given and the method of determining the pass-band of the system to meet the relative measuring error specification is provided in the paper.