Unscented Transformation, UT

Author: Tianjiang Shuo

Website: https://cislunarspace.cn

Definition

The core transformation technique of the Unscented Kalman Filter. A set of deterministic sigma points are drawn from the prior distribution such that their mean and covariance match the original; these points are propagated through the nonlinear function, and the propagated set is used to re-estimate mean and covariance. Compared to the first-order linearization of EKF, UT captures second-order moment information without requiring Jacobian computation.

Application Value

The 无迹变换 concept is applied in cislunar space research, providing technical support or analytical methods for lunar exploration missions.

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References

  • Li 等 - 2025 - Efficient reachable domain search-tracking for cislunar non-cooperative targets via designed quadrature