Achievable rate region based on coset codes for multiple access channel with states
Abstract
We prove that the ensemble the nested coset codes built on finite fields achieves the capacity of arbitrary discrete memoryless point-to-point channels. Exploiting it's algebraic structure, we develop a coding technique for communication over general discrete multiple access channel with channel state information distributed at the transmitters. We build an algebraic coding framework for this problem using the ensemble of Abelian group codes and thereby derive a new achievable rate region. We identify non-additive and non-symmteric examples for which the proposed achievable rate region is strictly larger than the one achievable using random unstructured codes.
Cite
@article{arxiv.1301.5655,
title = {Achievable rate region based on coset codes for multiple access channel with states},
author = {Arun Padakandla and Sandeep Pradhan},
journal= {arXiv preprint arXiv:1301.5655},
year = {2022}
}
Comments
Contains substantial additions to previous version. In particular 1) All proofs are provided, 2) An achievable rate region based on Abelian group codes is developed 3) Characterization of the largest known achievable rate region for the MAC with states is provided. Three examples from previous version are removed in the interest of brevity. This work has been accepted for presentation at ISIT2013