Modeling and Identification of Low Rank Vector Processes
Systems and Control
2021-05-11 v2 Systems and Control
Abstract
We study modeling and identification of processes with a spectral density matrix of low rank. Equivalently, we consider processes having an innovation of reduced dimension for which Prediction Error Methods (PEM) algorithms are not directly applicable. We show that these processes admit a special feedback structure with a deterministic feedback channel which can be used to split the identification in two steps, one of which can be based on standard algorithms while the other is based on a deterministic least squares fit.
Keywords
Cite
@article{arxiv.2012.05004,
title = {Modeling and Identification of Low Rank Vector Processes},
author = {Giorgio Picci and Wenqi Cao and Anders Lindquist},
journal= {arXiv preprint arXiv:2012.05004},
year = {2021}
}
Comments
A more detailed version of the submission with the same name to IFAC SYSID 2021