Abstract
Abstract Based on the detailed analysis of magnetic interference fields, mathematical model of compensation coefficients is constructed and nonlinear compensation method is proposed for magnetic tensor gradiometer in this paper. Firstly, a mathematical model containing compensation coefficients of magnetic tensor gradiometer is deduced by extending the Leliak method from the magnetic interference vector field compensation model. Secondly, four different types of constraint conditions, which are independent of the attitude of the magnetic tensor gradiometer and invariant with maneuvers, and a class of vector constraints are used to establish proper vector and tensor constraint equations. Then the compensation coefficients are solved using the nonlinear least square algorithm. Effectiveness and convergence of the proposed method are proved by simulation experiment, and the magnetic interference signals of aircraft effects are decreased remarkably.
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