A Laplace-based particle filter for track-before-detect

Track-before-detect (TBD) is an efficient approach for tracking a target with low signal-to-noise-ratio. Unlike classical detection methods, TBD does not require thresholding. TBD integrates the signal of the target over space and time. In this paper, a particle filter is proposed, where the proposal density is constructed thanks to local Laplace approximations at the modes of the posterior density. This particle filter is tested on a simulated TBD problem, where the observations are a sequence of infrared images.

[1]  Simon J. Godsill,et al.  On sequential Monte Carlo sampling methods for Bayesian filtering , 2000, Stat. Comput..

[2]  D. J. Salmond,et al.  A particle filter for track-before-detect , 2001, Proceedings of the 2001 American Control Conference. (Cat. No.01CH37148).

[3]  P. Moral Feynman-Kac Formulae: Genealogical and Interacting Particle Systems with Applications , 2004 .

[4]  B. Silverman Density estimation for statistics and data analysis , 1986 .

[5]  Christian Musso,et al.  Multidimensional Laplace formulas for nonlinear Bayesian estimation , 2012, 2012 Proceedings of the 20th European Signal Processing Conference (EUSIPCO).

[6]  P. J. Green,et al.  Density Estimation for Statistics and Data Analysis , 1987 .

[7]  Mark R. Morelande,et al.  A study of MAP estimation techniques for nonlinear filtering , 2012, 2012 15th International Conference on Information Fusion.

[8]  SAMUEL J. DAVEY,et al.  Using Phase to Improve Track-Before-Detect , 2012, IEEE Transactions on Aerospace and Electronic Systems.

[9]  François Le Gland,et al.  A particle filter for target arrival detection and tracking in Track-Before-Detect , 2012, 2012 Workshop on Sensor Data Fusion: Trends, Solutions, Applications (SDF).

[10]  J. N. Driessen,et al.  Particle filter based detection for tracking , 2001, Proceedings of the 2001 American Control Conference. (Cat. No.01CH37148).

[11]  Neil J. Gordon,et al.  A tutorial on particle filters for online nonlinear/non-Gaussian Bayesian tracking , 2002, IEEE Trans. Signal Process..

[12]  N. Gordon,et al.  International Conference on Information Fusion ( FUSION ) A Comparison of Particle Filters for Recursive Track-before-detect , 2006 .

[13]  N. Gordon,et al.  Novel approach to nonlinear/non-Gaussian Bayesian state estimation , 1993 .

[14]  Christian Musso,et al.  Proposal distribution for particle filtering applied to terrain navigation , 2013, 21st European Signal Processing Conference (EUSIPCO 2013).