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We firstly extend the interpretation of feedback communication overstationary finite dimensional Gaussian channels as feedback control systems byshowing that, the problem of finding stabilizing feedback controllers withmaximal reliable transmission rate over Youla parameters coincides with theproblem of finding strictly causal filters to achieve feedback capacityrecently derived in [1]. The aforementioned interpretation provides an approachto construct deterministic feedback coding schemes (with double exponentialdecaying error probability). We next propose an asymptotic capacity-achievingupper bounds, which can be numerically evaluated by solving finite dimensionaldual optimizations. From the filters that achieve upper bounds, we derivefeasible filters which lead to a sequence of lower bounds. Thus, from the lowerbound filters we obtain communication systems that achieve the lower boundrate. Extensive examples show the sequence of lower bounds is asymptoticcapacity-achieving as well.

Control approach to computing the feedback capacity for stationary finite dimensional Gaussian channels