Show/Hide Menu
Hide/Show Apps
Logout
Türkçe
Türkçe
Search
Search
Login
Login
OpenMETU
OpenMETU
About
About
Open Science Policy
Open Science Policy
Open Access Guideline
Open Access Guideline
Postgraduate Thesis Guideline
Postgraduate Thesis Guideline
Communities & Collections
Communities & Collections
Help
Help
Frequently Asked Questions
Frequently Asked Questions
Guides
Guides
Thesis submission
Thesis submission
MS without thesis term project submission
MS without thesis term project submission
Publication submission with DOI
Publication submission with DOI
Publication submission
Publication submission
Supporting Information
Supporting Information
General Information
General Information
Copyright, Embargo and License
Copyright, Embargo and License
Contact us
Contact us
Variational smoothing for extended target tracking with random matrices
Download
Variational_Smoothing_for_Extended_Target_Tracking_with_Random_Matrices.pdf
Date
2022-4-05
Author
Kartal, Savaş Erdem
Metadata
Show full item record
This work is licensed under a
Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License
.
Item Usage Stats
437
views
183
downloads
Cite This
In this thesis, two Bayesian smoothers are proposed for random matrix based extended target tracking (ETT). The proposed smoothers are based on the variational Bayes techniques and they are derived for an extended target model without and with orientation. The random matrix models of Feldman et al. and Tuncer and Özkan are used as the extended target models without and with orientation, respectively. The performance of both smoothers is evaluated using simulation results on two different scenarios. It is seen that the variational smoothers derived for both models outperform the previous smoother recently given in the literature on the scenario with a non-maneuvering target. On the other hand, it is seen that the performance of the smoother for the model without orientation is reduced significantly below expectations on the scenario with maneuvers. Nevertheless, the smoother for the model with orientation is shown to have little performance degradation in the maneuvering scenario. Overall the results obtained in this thesis show that: -the variational approach results in better smoothers than the existing smoother in the literature, -the explicit modeling of orientation is beneficial in smoothing as well as filtering for tracking maneuvering extended targets.
Subject Keywords
Extended target tracking
,
Smoother
,
Variational Bayes
,
Random matrices
,
Target extension
,
Target orientation
URI
https://hdl.handle.net/11511/96808
Collections
Graduate School of Natural and Applied Sciences, Thesis
Suggestions
OpenMETU
Core
Posterior Cram'er-Rao Lower Bounds for Extended Target Tracking with Random Matrices
Sarıtaş, Elif; Orguner, Umut (2016-07-08)
This paper presents posterior Cram'er-Rao lower bounds (PCRLB) for extended target tracking (ETT) when the extent states of the targets are represented with random matrices. PCRLB recursions are derived for kinematic and extent states taking complicated expectations involving Wishart and inverse Wishart distributions. For some analytically intractable expectations, Monte Carlo integration is used. The bounds for the semi-major and minor axes of the extent ellipsoid are obtained as well as those for the exte...
Posterior Cramér-Rao lower bounds for extended target tracking with random matrices
Sarıtaş, Elif; Orguner, Umut (2016-08-04)
This paper presents posterior Cramér-Rao lower bounds (PCRLB) for extended target tracking (ETT) when the extent states of the targets are represented with random matrices. PCRLB recursions are derived for kinematic and extent states taking complicated expectations involving Wishart and inverse Wishart distributions. For some analytically intractable expectations, Monte Carlo integration is used. The bounds for the semi-major and minor axes of the extent ellipsoid are obtained as well as those for the exten...
Parametric and posterior Cramér-Rao lower bounds for extended target tracking in a random matrix framework
Sarıtaş, Elif; Orguner, Umut; Department of Electrical and Electronics Engineering (2015)
This thesis presents the parametric and posterior Cramér-Rao lower bounds (CRLB) for extended target tracking (ETT) in a random matrix framework. ETT is an area of target tracking in which the common assumption of point targets does not hold due to the recent improvements in sensor technology. With the increased sensor capability, targets can generate more than one measurement in a single scan depending on their size. Therefore, not only the target’s kinematical state but also its extension can be estimated...
Interacting multiple model probabilistic data association filter using random matrices for extended target tracking
Özpak, Ezgi; Orguner, Umut; Department of Electrical and Electronics Engineering (2018)
In this thesis, an Interacting Multiple Model – Probabilistic Data Association (IMM-PDA) filter for tracking extended targets using random matrices is proposed. Unlike the extended target trackers in the literature which use multiple alternative partitionings/clusterings of the set of measurements, the algorithm proposed here considers a single partitioning/clustering of the measurement data which makes it suitable for applications with low computational resources. When the IMM-PDA filter uses clustered mea...
Random Matrix Based Extended Target Tracking with Orientation: A New Model and Inference
Tuncer, Barkın; Özkan, Emre (2021-02-01)
In this study, we propose a novel extended target tracking algorithm which is capable of representing the extent of dynamic objects as an ellipsoid with a time-varying orientation angle. A diagonal positive semi-definite matrix is defined to model objects' extent within the random matrix framework where the diagonal elements have inverse-Gamma priors. The resulting measurement equation is non-linear in the state variables, and it is not possible to find a closed-form analytical expression for the true poste...
Citation Formats
IEEE
ACM
APA
CHICAGO
MLA
BibTeX
S. E. Kartal, “Variational smoothing for extended target tracking with random matrices,” M.S. - Master of Science, Middle East Technical University, 2022.