On the Bhattacharyya Rate for BISOM Channels and Its Code Threshold
Ruoheng Liu, Predrag Spasojević · 2006
In this paper, we study the properties of the Bhattacharyya noise parameter γ for binary-input symmetric-output memoryless (BISOM) channels. A channel quality measure Bhattacharyya rate ß ≜ 1 - γ is shown to be, for an arbitrary BISOM channel, between the cutoff rate R and the channel capacity C, i.e., R0≤ ß ≤ C. Based on this relationship and the modified Shulman-Feder bound, a Bhattacharyya rate code threshold is proposed. We show that the derived code threshold is tighter than the corresponding threshold due to Jin and McEliece.