Novel Magnetic Localization Methods for Minimizing the Ellipse Error Based on Tensor Invariants

There are various technology routes for the localization of magnetic targets. Among them, localization methods based on magnetic gradient tensor invariants have remarkable preponderance. For instance, such invariants are not sensitive to the jitter of the coordinate system, which means this kind of method can be very suitable for application in moving carriers. The traditional classic method contains ellipse error, which cannot be simply ignored. In order to eliminate this error, the general solution of the location vector is derived in this letter. Three methods for solving the general solution are given. To validate the effectiveness of the methods, the localization problem of the measurement array surrounding a static target is simulated. In this simulation, the localization results of the traditional method and the proposed methods are analyzed and compared. The conclusions show that the developed methods successfully remove the ellipse error and improve the localization accuracy.