  We study the effect of fading in the communication channels between nodes on
the performance of the incremental least mean square (ILMS) algorithm. We
derive steady-state performance metrics, including the mean-square deviation
(MSD), excess mean-square error (EMSE), and mean-square error (MSE). We obtain
the sufficient conditions to ensure mean-square convergence, and verify our
results through simulations. Simulation results show that our theoretical
analysis closely matches the actual steady state performance.
