Correction Method of The Cross-type Tensor Based on DA-LM

Abstract

Magnetic sensor tensor system detection is a weak magnetic target detection. It requires high accuracy for the tensor system. In order to solve the problems of non-orthogonal error, scale factor error, zero error and non-alignment error in tensor system, a tensor error correction method based on DA-LM algorithm is proposed. Using tensor rotation invariance and the principle of scalar correction, a mathematical model including non-orthogonal error, scale factor error, zero error and non-alignment error is established, and the DA-LM algorithm is used to solve the unknown parameters of the equations. This method can not only estimate the parameters accurately. It can also calibrate the observed data to the orthogonal coordinates. The validity of the method is verified by simulation analysis and experiment. The error is reduced from 2500 nT to 0.15 nT in the simulation analysis and from 11000 nT to 200 nT in the experiment, and finally the position error is reduced from 13.15 m to 2.3217 m, which further verifies the validity of the correction algorithm.