Considering Uncertain Parameters in Non-Gaussian Estimation for Single-Target and Multitarget Tracking

Consider filtering is an estimation technique that emerged in the 1960s to account for uncertainties in system parameters while simultaneously reducing system dimensionality and (accordingly) the r...

[1]  M. Hough Linear Minimum Variance Filters for Measurement Bias Characterization , 2013 .

[2]  Yaakov Bar-Shalom,et al.  Tracking methods in a multitarget environment , 1978 .

[3]  S. F. Schmidt,et al.  Application of State-Space Methods to Navigation Problems , 1966 .

[4]  Arthur Gelb,et al.  Applied Optimal Estimation , 1974 .

[5]  Ba-Ngu Vo,et al.  The Gaussian Mixture Probability Hypothesis Density Filter , 2006, IEEE Transactions on Signal Processing.

[6]  H. Sorenson,et al.  Nonlinear Bayesian estimation using Gaussian sum approximations , 1972 .

[7]  Kyle J. DeMars Nonlinear orbit uncertainty prediction and rectification for space situational awareness , 2010 .

[8]  Daniel E. Clark,et al.  Bayesian multiple target tracking in forward scan sonar images using the PHD filter , 2005 .

[9]  R. Mahler Multitarget Bayes filtering via first-order multitarget moments , 2003 .

[10]  J. Junkins,et al.  On the Consider Kalman Filter , 2010 .

[11]  Christopher D'Souza,et al.  Orion Absolute Navigation System Progress and Challenges , 2012 .

[12]  Rudolph van der Merwe,et al.  Sigma-point kalman filters for probabilistic inference in dynamic state-space models , 2004 .

[13]  Robert W. Sittler,et al.  An Optimal Data Association Problem in Surveillance Theory , 1964, IEEE Transactions on Military Electronics.

[14]  D. Alspach A gaussian sum approach to the multi-target identification-tracking problem , 1975, Autom..

[15]  H. Sorenson,et al.  Recursive bayesian estimation using gaussian sums , 1971 .

[16]  Ba-Ngu Vo,et al.  Analytic Implementations of the Cardinalized Probability Hypothesis Density Filter , 2007, IEEE Transactions on Signal Processing.

[17]  Aubrey B. Poore,et al.  Gaussian Sum Filters for Space Surveillance: Theory and Simulations , 2011 .

[18]  Ba-Ngu Vo,et al.  A Consistent Metric for Performance Evaluation of Multi-Object Filters , 2008, IEEE Transactions on Signal Processing.

[19]  Kyle J. DeMars,et al.  Entropy-Based Approach for Uncertainty Propagation of Nonlinear Dynamical Systems , 2013 .

[20]  Byron D. Tapley,et al.  Chapter 4 – Fundamentals of Orbit Determination , 2004 .

[21]  Kyle J. DeMars,et al.  Probabilistic Initial Orbit Determination Using Gaussian Mixture Models , 2013 .

[22]  Roy L. Streit,et al.  Multiple Target Tracking , 2010 .

[23]  Christopher D'Souza,et al.  Tuning and Robustness Analysis for the Orion Absolute Navigation System , 2013 .

[24]  R. E. Kalman,et al.  A New Approach to Linear Filtering and Prediction Problems , 2002 .

[25]  R. Mahler PHD filters of higher order in target number , 2007 .