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Smooth constraint unscented Kalman filtering method and target tracking method

An unscented Kalman, smooth constraint technology, applied in the field of target tracking, can solve problems such as no specific solutions are proposed, and achieve the effect of avoiding Jacobian calculation, improving computing efficiency, and ensuring accuracy

Pending Publication Date: 2020-04-21
SUN YAT SEN UNIV
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  • Abstract
  • Description
  • Claims
  • Application Information

AI Technical Summary

Problems solved by technology

[0004] It can be seen that for target tracking using Kalman filtering, there are still many practical problems that need to be dealt with in practical applications (such as improving the accuracy and robustness of target tracking, etc.) and there are still many specific solutions that have not been proposed.

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  • Smooth constraint unscented Kalman filtering method and target tracking method
  • Smooth constraint unscented Kalman filtering method and target tracking method
  • Smooth constraint unscented Kalman filtering method and target tracking method

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Embodiment 1

[0055] Nonlinear dynamical systems estimate the state of objects from noise-corrupted measurement data. Measurement nonlinearity and uncertainty are two major interrelated challenges. The first-order extended Kalman filter (EKF) is widely used in nonlinear filtering. This method is based on the idea of ​​Taylor series and is easy to implement. Due to the inevitable estimation error caused by linearization, for strongly nonlinear dynamic systems, the estimation performance of EKF decreases and divergence may occur. The Unscented Kalman Filter (UKF) algorithm uses Gaussian points to approximate the posterior distribution, avoiding the linearization calculation of nonlinear functions, and estimating the mean and covariance more accurately. Particle filter (PF) can effectively solve non-Gaussian and nonlinear filtering problems. The basic idea is to completely represent the posterior distribution of the estimated state in an online manner through weighted sampling particles. ques...

Embodiment 2

[0094] like Figure 5 As shown, corresponding to the smooth constrained unscented Kalman filtering method described in Embodiment 1, this embodiment provides a target tracking method, which includes the following steps:

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Abstract

The invention provides a smoothing constraint unscented Kalman filtering method. The smoothing constraint unscented Kalman filtering method comprises the following steps: 1, acquiring an original prior probability density function of a target state at a current target observation moment according to unscented transformation; 2, calculating a mean value and a variance of an original prior probability through numerical expectation; 3, introducing noise constraint information, and calculating the center of the approximate feasible region to obtain corrected prior probability density; 4, seeking aGaussian distribution mean value and a variance meeting the constraint condition through posteriori iterative optimization, and generating a new Gaussian sigma point meeting the constraint condition;and 5, carrying out weighted calculation on the Gaussian sigma points to complete a filtering process. The smoothing constraint unscented Kalman filtering method has the advantages in the aspects ofaccuracy and robustness, and meanwhile, the real-time performance of the smoothing constraint unscented Kalman filtering method is superior to that of a particle filtering algorithm. Correspondingly,the invention further provides a target tracking method.

Description

technical field [0001] The present invention relates to the technical field of target tracking, in particular to a smoothing constrained unscented Kalman filtering method and a target tracking method. Background technique [0002] In scientific fields such as navigation and guidance systems, tracking channel state information of rapidly changing wireless channels, and tracking the real-time position of aircraft, it is often necessary to use filtering techniques (such as Kalman filtering, etc.) to achieve real-time tracking of targets. [0003] After a large number of searches, some typical existing technologies are found. For example, the patent application number 201810661518.8 discloses a moving target tracking method based on a switch Kalman filter. The tracking error caused by the mutation of the motion state has a stable tracking effect and good robustness. Another example is the patent application number 201410134331.4 which discloses a target tracking method and an e...

Claims

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Application Information

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IPC IPC(8): G06T7/277
CPCG06T7/277
Inventor 张宏伟张小虎杨夏
Owner SUN YAT SEN UNIV
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