Multiple target tracking method for triangular square root decomposition

Abstract

The invention discloses a multiple target tracking method for triangular square root decomposition, aiming to solving the technical problem of the existing target tracking method that the numerical structure is instable to cause the target tracking failure during the tracking of the radar. According to the technical scheme of the invention, the variance matrix with estimation errors are subjected to the triangular square root decomposition so that a numerical stable structural model is established, and two positive semidefinite matrixes of the variance matrix without estimation errors are subtracted so that symmetric matrixes with negative eigenvalues can not be generated in a processing system of a finite word length. Because the variance matrixes with estimation errors are subjected to the triangular square root decomposition, the numerical stable structural model is established, the subtraction of the positive semidefinite matrixes of the variance matrix with estimation errors is avoided, the numerical divergence can not occur to the processing system of a finite word length, the reliability of the target tracking system is guaranteed hereby, and the target tracking failure during the tracking of the radar and the systematic error of the whole radar are avoided.

Description

technical field [0001] The invention relates to a radar tracking method, in particular to a multi-target tracking method based on trigonometric square root decomposition, and belongs to the field of information technology. Background technique [0002] Multi-target tracking technology is widely used in military and civilian fields, and can be used for air target detection, tracking and attack, air missile defense, air traffic control, port and ocean surveillance, etc. In recent years, with the change of the battlefield environment and the development of countermeasures and anti-countermeasures technology, a series of problems such as strong background clutter, low signal-to-noise ratio, low detection probability and high false alarm rate have arisen. and accuracy put forward higher requirements. [0003] The purpose of multi-target tracking is to correspond the measurements received by the detector to different information sources, form different observation sets or traject...

AI Technical Summary

Problems solved by technology

[0004] In order to solve the technical defect that the numerical structure of the existing target tracking method is unstable and cause the target to lose track during the radar tracking process, the present invention provides a multi-target tracking method based on trigonometric square root decomposition. Decompose the two triangular matrices of the estimated error variance matrix, and establish a numerically stable structural model. There are two semi-positive definite matrices subtracted from the variance matrix without error estimation. In the processing system with limited word length, it can be guaranteed that no negative features will be generated. A symmetric matrix of values, which can avoid target loss in the radar tracking process and the systemic error of the entire radar

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