Bhashyam Balaji

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In conventional target tracking systems, human operators use the estimated target tracks to make higher level inference of the target behaviour/intent. This paper develops syntactic filtering algorithms that assist human operators by extracting spatial patterns from target tracks to identify suspicious/anomalous spatial trajectories. The targets' spatial(More)
A summary of the relationship between the Langevin equation, Fokker-Planck-Kolmogorov forward equation (FPKfe) and the Feynman path integral descriptions of stochas-tic processes relevant for the solution of the continuous-discrete filtering problem is provided in this paper. The practical utility of the path integral formula is demonstrated via some(More)
The Probability Hypothesis Density (PHD) filter is a multitarget tracker that can alleviate the computational intractability of the optimal multitarget Bayes filter. The PHD filter recursively estimates the number of targets and their PHD from a set of observations and works well in scenarios with false alarms and missed detections. Two distinct PHD filter(More)
In this paper, the Feynman path integral formulation of the continuous-continuous filtering problem is investigated for the case when the noise in the signal and measurement model is additive. It is shown that it leads to an independent and self-contained analysis and solution of the problem. A consequence of this analysis is Feynman path integral formula(More)
Recommended by Lawrence Stone Real-radar data containing a small manoeuvring boat in sea clutter is processed using a finite difference (FD) implementation of continuous-discrete filtering with a four-dimensional constant velocity model. Measurement data is modelled assuming a Rayleigh sea clutter model with embedded Swerling 0, 1, or 3 target signal(More)
The problem of nonlinear/non-Gaussian filtering has generated significant interest in the literature. Sequential Monte Carlo (SMC)/Markov Chain Monte Carlo (MCMC) approaches are the most commonly used. The success of nonlinear/non-Gaussian filtering depends on the accurate representation of the pdf of the system state as well as the likelihood function.(More)
Conventional technicolor models with light charged technipions (π ± T) lead to an unacceptably large contribution to t → π + T b decay rate. Topcolor-assisted technicolor models also have additional PGBs called top-pions (π ± t) which may contribute to this decay. We study the potentially dangerous mixing of charged top-pion and technipions in toy models of(More)
Real radar data containing a small manoeuvring boat in sea clutter is processed using a grid based finite difference implementation of continuous-discrete filtering. Both two dimensional diffusion and four dimensional constant velocity models are implemented using Gaussian and Rayleigh sea clutter models. Superior performance is observed for the constant(More)