Trajectory modeling and prediction with waypoint information using a conditionally Markov sequence

R Rezaie, XR Li - 2018 56th Annual Allerton Conference on …, 2018 - ieeexplore.ieee.org
Information about the waypoints of a moving object, eg, an airliner in an air traffic control
(ATC) problem, should be considered in trajectory modeling and prediction. Due to the ATC …

Gaussian conditionally Markov sequences: Dynamic models and representations of reciprocal and other classes

R Rezaie, XR Li - IEEE Transactions on Signal Processing, 2019 - ieeexplore.ieee.org
Conditionally Markov (CM) sequences are powerful mathematical tools for modeling
problems. One class of CM sequences is the reciprocal sequence. In application, we need …

Destination-directed trajectory modeling and prediction using conditionally Markov sequences

R Rezaie, XR Li - 2018 IEEE Western New York Image and …, 2018 - ieeexplore.ieee.org
In some problems there is information about the destination of a moving object. An example
is an airliner flying from an origin to a destination. Such problems have three main …

Track extraction with hidden reciprocal chains

G Stamatescu, LB White… - IEEE Transactions on …, 2017 - ieeexplore.ieee.org
This technical note (TN) develops Bayesian track extraction algorithms for targets modeled
as hidden reciprocal chains (HRC). HRC are a class of finite-state random process models …

Destination-directed trajectory modeling, filtering, and prediction using conditionally markov sequences

R Rezaie, XR Li - IEEE Transactions on Aerospace and …, 2020 - ieeexplore.ieee.org
In some problems, there is information about the destination of a moving object. An example
is a flight from an origin to a destination. Such problems have three main components: an …

State-space realizations and optimal smoothing for Gaussian generalized reciprocal processes

LB White, F Carravetta - IEEE Transactions on Automatic …, 2019 - ieeexplore.ieee.org
This technical note derives stochastic realization and optimal smoothing algorithms for a
class of Gaussian generalized reciprocal processes (GGRP). The note exploits the interplay …

Gaussian conditionally Markov sequences: Singular/nonsingular

R Rezaie, XR Li - IEEE Transactions on Automatic Control, 2019 - ieeexplore.ieee.org
Most existing results about modeling and characterizing Gaussian Markov, reciprocal, and
conditionally Markov (CM) processes assume nonsingularity of the processes. This …

Gaussian conditionally Markov sequences: Theory with application

R Rezaie - 2019 - scholarworks.uno.edu
Markov processes have been widely studied and used for modeling problems. A Markov
process has two main components (ie, an evolution law and an initial distribution). Markov …

Gaussian conditionally Markov sequences: Algebraically equivalent dynamic models

R Rezaie, XR Li - IEEE Transactions on Aerospace and …, 2019 - ieeexplore.ieee.org
The conditionally Markov (CM) sequence contains different classes, including Markov,
reciprocal, and so-called CM L and CM F (two CM classes defined in our previous work) …

Conditionally Markov modeling and optimal estimation for trajectory with waypoints and destination

R Rezaie, XR Li, VP Jilkov - IEEE Transactions on Aerospace …, 2021 - ieeexplore.ieee.org
On a grand scale, motion trajectories are usually defined by an origin, a sequence of
waypoints, and a destination. A typical example is in air traffic management (ATM), where a …