Open AccessDynamic source–channel coding for estimation and control over binary symmetric channels
Author(s) -
Shirazinia Amirpasha,
Zaidi Ali A.,
Bao Lei,
Skoglund Mikael
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.2014.1130
Subject(s) - decoding methods , binary number , algorithm , control theory (sociology) , coding (social sciences) , computer science , mean squared error , upper and lower bounds , mathematics , topology (electrical circuits) , statistics , arithmetic , control (management) , artificial intelligence , combinatorics , mathematical analysis
The authors study causal dynamic source–channel codes for mean‐square stabilisation of a linear plant with random initial state, over binary symmetric channels (BSCs). A binary expansion source coding scheme and two types of channel coding schemes are investigated: (i) dynamic repetition encoding under sequential majority logic decoding, and (ii) dynamic Fountain encoding under sequential BP decoding. The coding schemes are first analysed for an open‐loop system, where the goal is to transmit a real‐valued source over BSCs with the objective of minimising end‐to‐end mean‐square error distortion. They derive upper‐ and lower bounds on the achievable distortion which is a function of time. Based on these distortion bounds, they show that the dynamic Fountain codes are able to stabilise (in mean‐square sense) an unstable linear plant over BSCs.