Optimal preprocessing strategies for perfect reconstruction of binary signals under power-constrained transmission
AuthorVoulgaris, P. G.
Hadjicostis, Christoforos N.
SourceProceedings of the IEEE Conference on Decision and Control
Proceedings of the IEEE Conference on Decision and Control
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In this paper we further explore our deterministic worst-case framework for perfect reconstruction of discrete data transmissions through dispersive communication channels. Specifically, we are concerned with perfect reconstruction when the data can be processed in a way that does not increase the energy per-symbol (power). We obtain necessary and sufficient conditions for perfect reconstructibility with power-limited preprocessing for two distinct cases: (i) the case of a single source-destination pair and (ii) the case of a single source with multiple destinations. In both cases, our conditions for perfect reconstructibility are irrespective of the receiver structure. We also discuss via an example the trade-off that arises between the rate of transmission and the minimal power that is required for perfect reconstruction.