五孔探针实验数据处理的线性插值法

Linear Interpolation Method for Processing the Test Data of Five-hole Probes

在使用五孔探针校准数据时通常采用样条插值或最小二乘法拟合,相同的探针校准曲线用这两种方法分别插值得到的结果有较大的差异。本文通过对两种方法理论上分析,提出了一种实用性更强的线性插值法。对于特性良好的探针,该方法的精度接近样条插值;对于特性较差的探针,能够在不改变探针特性曲线的基础上保证插值精度。相对于样条插值和最小二乘法拟合,该方法有着更为广泛的适应性。

During the calibration of data by using five-hole probes a spline interpolation and least square fit are generally employed. For the calibration of curves by the use of identical probes the results of interpolation obtained by employing respectively the above-mentioned two methods may be quite different. Through a theoretical analysis of these two methods the authors have come up with a linear interpolation method, which is more practical for general use. For probes with good characteristics the recommended method can attain a precision close to that of the spline interpolation. As for probes with relatively poor characteristics the above method is capable of ensuring interpolation precision without the change of the probe characteristics, and relative to the spline interpolation and least square fit it enjoys a higher degree of adaptability.