Dynamic source–channel coding for estimation and control over binary symmetric channels
Amirpasha Shirazinia, Ali Abbas Zaidi, Lei Bao, Mikael Skoglund · IET Control Theory and Applications · 2015
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.