Limited feedback achieves the empirical capacity

K. Eswaran, A.D. Sarwate, A. Sahai, and M. Gastpar

Submitted to IEEE Transactions on Information Theory
arXiv:0711.0237v1 [cs.IT]
November, 2007

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Abstract

The utility of limited feedback for coding over an individual sequence of DMCs is investigated. This study complements recent results showing how limited or noisy feedback can boost the reliability of communication. A strategy with fixed input distribution $P$ is given that asymptotically achieves rates arbitrarily close to the mutual information induced by $P$ and the state-averaged channel. When the capacity achieving input distribution is the same over all channel states, this achieves rates at least as large as the capacity of the state averaged channel, sometimes called the empirical capacity.

Notes

Submitted to the IEEE Transactions on Information Theory.

Reference

K. Eswaran, A.D. Sarwate, A. Sahai, and M. Gastpar, Limited feedback achieves the empirical capacity, submitted to IEEE Transactions on Information Theory, arXiv:0711.0237v1 [cs.IT], http://arxiv.org/abs/0711.0237

BibTeX

@unpublished{EswaranSSG:07empcap,
	Author = {K. Eswaran and A.D. Sarwate and A. Sahai and M. Gastpar},
	Month = {November},
	Note = {Submitted to IEEE Transactions of Information Theory, arXiv:0711.0237v1 [cs.IT]},
	Title = {Limited feedback achieves the empirical capacity},
	Year = {2007}}