TY - GEN

T1 - Capacity of finite-state channels with time-invariant deterministic feedback

AU - Permuter, Haim

AU - Weissman, Tsachy

AU - Goldsmith, Andrea

PY - 2006

Y1 - 2006

N2 - We consider channel coding with feedback for the general case where the feedback may be an arbitrary deterministic function of the output samples. Under the assumption that the channel states take values in a finite alphabet, we find an achievable rate and an upper bound on the capacity. We conclude by showing that when the channel is indecomposable, and has no intersymbol interference, its capacity is given by the limit of the maximum of the (normalized) directed information between the input XN and the output YN, i.e. C = limN→∞ 1/N max I (XN → YN), where the maximization is over the causal conditioning probability Q(xN||kN-1) defined in this paper.

AB - We consider channel coding with feedback for the general case where the feedback may be an arbitrary deterministic function of the output samples. Under the assumption that the channel states take values in a finite alphabet, we find an achievable rate and an upper bound on the capacity. We conclude by showing that when the channel is indecomposable, and has no intersymbol interference, its capacity is given by the limit of the maximum of the (normalized) directed information between the input XN and the output YN, i.e. C = limN→∞ 1/N max I (XN → YN), where the maximization is over the causal conditioning probability Q(xN||kN-1) defined in this paper.

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U2 - 10.1109/ISIT.2006.261599

DO - 10.1109/ISIT.2006.261599

M3 - Conference contribution

AN - SCOPUS:33947665966

SN - 1424405041

SN - 9781424405046

T3 - IEEE International Symposium on Information Theory - Proceedings

SP - 64

EP - 68

BT - Proceedings - 2006 IEEE International Symposium on Information Theory, ISIT 2006

T2 - 2006 IEEE International Symposium on Information Theory, ISIT 2006

Y2 - 9 July 2006 through 14 July 2006

ER -