Open AccessState estimation with quantised innovations and communication channels
Author(s) -
Guo Jin,
Zhao Yanlong,
Sun ChangYin
Publication year - 2015
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.2015.0029
Subject(s) - estimator , binary number , channel (broadcasting) , control theory (sociology) , minimum mean square error , lti system theory , state (computer science) , computer science , mathematics , invariant (physics) , algorithm , estimation , binary symmetric channel , linear system , statistics , control (management) , channel capacity , artificial intelligence , telecommunications , engineering , mathematical analysis , arithmetic , systems engineering , mathematical physics
This study considers the minimum mean‐squared error (MMSE) state estimation for the discrete linear stochastic systems subject to both the quantisation and the communication unreliability. Based on the binary quantised innovation and a binary symmetric channel, the recursive MMSE estimator is established, and its performance is analysed. It is also discussed how the quantisation scheme and the communication uncertainty jointly affect the estimation quality. Consequently, the related results are extended to the case of the time‐invariant discrete memoryless channel. Numerical simulations are included to illustrate the main results obtained.