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eess.SP2026
Covariance Square Root Second-Order Mapping
Keith A. LeGrand, Braden Hastings, Jackson Kulik
In recursive state estimation, numerical error can play a major role in an algorithm's overall performance and reliability. Roundoff errors due to finite precision arithmetic can v…
eess.SP2025
Unscented and Higher-Order Linear Covariance Fidelity Checks and Measures of Non-Gaussianity
Jackson Kulik, Braden Hastings, Keith A. LeGrand
Linear covariance (LinCov) techniques have gained widespread traction in the modeling of uncertainty, including in the preliminary study of spacecraft navigation performance. While…
eess.SP2025
Higher-Order Tensor-Based Deferral of Gaussian Splitting for Orbit Uncertainty Propagation
G. Andrew Siciliano, Keith A. LeGrand, Jackson Kulik
Accurate propagation of orbital uncertainty is essential for a range of applications within space domain awareness. Adaptive Gaussian mixture-based approaches offer tractable nonli…