Three-Axis Magnetometer Calibration Using Total Least Squares

2021 ◽  
pp. 1-15
Author(s):  
John L. Crassidis ◽  
Yang Cheng
Keyword(s):  
Least Squares ◽  
Total Least Squares ◽  
Magnetometer Calibration

Constrained Total Least Squares Algorithm Applied to Three-Axis Magnetometer Calibration

2013 ◽  
Vol 278-280 ◽  
pp. 968-973 ◽  
Author(s):  
Zhi Tian Wu ◽  
Xiao Ping Hu ◽  
Mei Ping Wu
Keyword(s):  
Least Squares ◽  
Biomedical Applications ◽  
Optimization Problem ◽  
Total Least Squares ◽  
Navigation Systems ◽  
Scale Factors ◽  
Calibration Problem ◽  
Calibration Algorithm ◽  
Magnetometer Calibration ◽  
Unconstrained Nonlinear Optimization

Strapdown three-axis magnetometer is becoming increasingly used in navigation systems and in biomedical applications. A calibration must be performed before the magnetometer can be used, because its outputs are often corrupted by various magnetic field sources. This paper presents a new calibration algorithm based on constrained total least squares (CTLS) to determine different calibration parameters such as sensor non-orthogonality, scale factors, offsets, hard iron and soft iron errors. The basic idea is to convert the calibration problem into an unconstrained nonlinear optimization problem. An iterative technique based on Newton’s method is applied to give a numerical solution. Simulation results show that the proposed CTLS algorithm gives more accurate solutions than compared algorithms.

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