Constrained state estimation for systems with finite communication bandwidth

In this paper, communication bandwidth constrained state estimation problem is considered for deterministic dynamics and for systems contaminated with disturbances. Unlike the i.i.d. models typically assumed in rate distortion theory, the model considered here is common in system and control problems. The 1-bit coder-estimator sequence is used to encode single observation samples and the estimation is performed in a recursive manner. The convergence issue of such sequence is studied. The relation between the data rate, the rate of change of system dynamics and the asymptotic average estimation error is presented and illustrated by numerical simulations