English

Spectral Rank, Feedback, Causality and the Indirect Method for CARMA Identification

Dynamical Systems 2020-06-09 v2 Systems and Control Systems and Control

Abstract

Building on a recent paper by Georgiou and Lindquist [1] on the problem of rank deficiency of spectral densities and hidden dynamical relations after sampling of continuous-time stochastic processes, this paper is devoted to understanding related questions of feedback and Granger causality that affect stability properties. This then naturally connects to CARMA identification, where we remark on certain oversights in the literature.

Cite

@article{arxiv.2004.02463,
  title  = {Spectral Rank, Feedback, Causality and the Indirect Method for CARMA Identification},
  author = {Wenqi Cao and Anders Lindquist and Giorgio Picci},
  journal= {arXiv preprint arXiv:2004.02463},
  year   = {2020}
}

Comments

7 pages, 2 figures

R2 v1 2026-06-23T14:40:33.804Z