On the reliability exponent of the geometric server timing channel

The reliability exponent E(R) of the Bedekar-Azizoglu discrete-time geometric-server timing channel with service rate μ packets per slot is determined for all rates R between the critical rate R_c and the channel capacity. For rates between 0 and R_c , we provide a random-coding lower bound E_r(R) and a sphere-packing upper bound E_sp(R) on E(R).