Open AccessFIR system identification under either–or communication with quantised inputs and quantised output observations
Author(s) -
Guo Jin,
Diao JingDong
Publication year - 2019
Publication title -
iet control theory and applications
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.059
H-Index - 108
eISSN - 1751-8652
pISSN - 1751-8644
DOI - 10.1049/iet-cta.2018.5688
Subject(s) - binary number , finite impulse response , identification (biology) , control theory (sociology) , impulse (physics) , system identification , convergence (economics) , impulse response , communications system , measure (data warehouse) , mathematics , computer science , algorithm , artificial intelligence , arithmetic , telecommunications , control (management) , mathematical analysis , botany , physics , quantum mechanics , economic growth , economics , biology , database
This study investigates the quantised‐input FIR (finite impulse response) system identification under quantised and event‐triggered output observations. For the binary‐valued quantisation, they introduce a so‐called either–or communication scheme to save communication resources. Based on the received data and the triggered indicator, an identification algorithm is proposed to estimate the unknown parameter by use of the empirical measure and weighted least squares. The convergence performance is established and the communication rate is derived. For the multi‐threshold quantisation, it can be seen as a vector‐valued observation in which each component represents a binary‐valued output, and the corresponding identification problem is discussed. A numerical example is included to illustrate the main results obtained.