A Multidimensional and Multivariate Moment Problem Theory
for Target Parameter Estimation in Automotive Radars
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Principal investigator
Mattia Zorzi - Department of Information Engineering, University of Padova
Members of the project
Augusto Ferrante - Department of Information Engineering, University of Padova
Bin Zhu - Department of Information Engineering, University of Padova
Johan Karlsson - Department of Mathematics, KTH
Description:
The aim of the project is to develop a multidimensional and multivariate moment problem theory for spectral analysis problems. In this framework, the signal has a multidimensional domain (in contrast, in the classic case such domain is unidimensional and usually represents the time variable) and takes values in a multivariate space (i.e. the signal is composed by many channels). The project is motivated by the target parameter estimation problem in an integrated system of automotive radars installed in a car.
Fundings:
The project has been funded by the University of Padova.
Starting date of the project:
November 2018
Papers & Internal reports
B. Zhu A. Ferrante, J. Karlsson, M. Zorzi. "Fusion of Sensors Data in Automotive Radar Systems: A Spectral Estimation Approach". In IEEE Conference on Decision and Control, Nice, France, Dec. 2019. [preprint] [online]
B. Zhu A. Ferrante, J. Karlsson, M. Zorzi. "M^2-Spectral Estimation: A Relative Entropy Approach". Accepted in Automatica, 2020. [preprint]
B. Zhu, A. Ferrante, J. Karlsson, M. Zorzi "M^2-Spectral Estimation: A flexible approach ensuring rational solutions". Accepted in SIAM J. Control Optimization, 2021. [preprint]
M. Zorzi "Optimal Transport between Gaussian random fields ". Accepted in MED, 2021
B. Zhu, M. Zorzi "A Generalized Multidimensional Circulant Rational Covariance and Cepstral Extension Problem". Accepted in SYSID, 2021
Talks at international conferences
“Fusion of Sensors Data in Automotive Radar Systems: A Spectral Estimation Approach” by Mattia Zorzi at IEEE Conference on Decision and Control, Nice, France, 12 December 2019
“Optimal Transport between Gaussian random fields” by Mattia Zorzi at Mediterranean Conference on Control and Automation, Bari, Italy, 23 June 2021
Invited Talks
“M2-Spectral Estimation: The Discrete Version” by Bin Zhu, Sun Yat-sen University, 2 March 2021
“M2-Spectral Estimation: The Continuous Version” by Bin Zhu, Sun Yat-sen University, 8 March 2021
“M2-Spectral Estimation: The Singular Version” by Bin Zhu, Sun Yat-sen University, 15 March 2021
“Multidimensional spectral estimation, texture generation, and image compression via rational covariance extension” by Axel Ringh, The Hong Kong University of Science and Technology, 23 March 2021
“Rational solutions to compactly supported moment problems and the multidimensional rational covariance extension problem” by Axel Ringh, The Hong Kong University of Science and Technology, 30 March 2021
“Model-based parameter estimation in automotive radar” by Florian Engels, Continental, 20 April 2021
“Control and estimation of ensembles via structured optimal trans- port: Optimal transport, problem formulations, and examples” by Johan Karlsson, Department of Mathematics KTH, 15 June 2021
“Control and estimation of ensembles via structured optimal trans- port: Multi-marginal optimal transport and efficient computations” by Johan Karlsson, Department of Mathematics KTH, 21 June 2021