1 research outputs found
On optimal coding of non-linear dynamical systems
We consider the problem of zero-delay coding of a dynamical system over a
discrete noiseless channel under three estimation criteria concerned with the
low-distortion regime. For these three criteria, formulated stochastically in
terms of a probability distribution for the initial state, we characterize the
smallest channel capacities above which the estimation objectives can be
achieved. The results establish further connections between topological and
metric entropy of dynamical systems and information theory