On the Stability and Delay of Channel-Aware Slotted ALOHA with Imperfect CSI

In this work, we study the effect of imperfect channel-state information (CSI) on the stability and delay of a two-user channel-aware slotted ALOHA system. We assume that the channel is quantized into two states and channel estimation error may occur between channel states. By taking into account the estimation error, we derive the optimal transmission control function that adjusts the users´ transmission probabilities based on the estimated channel state. To evaluate the performance, we derive the stability region and average delay of the system and show the loss in performance due to channel estimation errors.