On zero-rate error exponents of finite-state channels with input-dependent states
arXiv:1406.7092 · doi:10.1109/TIT.2014.2378259
Abstract
We derive a single-letter formula for the zero-rate reliability (error exponent) of a finite-state channel whose state variable depends deterministically (and recursively) on past channel inputs, where the code complies with a given channel input constraint. Special attention is then devoted to the important special case of the Gaussian channel with inter-symbol interference (ISI), where more explicit results are obtained.
22 pages; submitted to IEEE Transactions on Information Theory