On optimal reconstruction of discrete data transmissions

In this paper we present a deterministic worst-case framework for accurate reconstruction of discrete (source) data as an alternative to the traditional probabilistic approaches in the communications area. This framework can be explored based on robust control ideas and formulations. Some of the particular problems touched upon are: (i) necessary and sufficient conditions for causal (no delay) and noncausal (with delay) reconstruction under deterministic magnitude bounded noise for SISO and MIMO channels, (ii) reconstruction based on linear estimation. (iii) performance optimization under channel fading and (iv) combined precoding and estimation optimization under power constraints. The ¹ control theory is proposed as a natural key player in this approach