Stabilization of slotted ALOHA spread-spectrum communication networks

A method is presented for stabilizing slotted ALOHA frequency-hop communication networks by controlling code rate. In particular, the stabilization of a fully connected network in which a finite number of transmitter-receiver pairs exchange packets of information encoded by Reed-Solomon codes is considered. A principle of flow balance to stability analysis is adopted, and it is shown that network stability can be ensured by controlling code rate. The requirement on code rate for ensuring network stability is examined. In addition, the mean delay and the mean channel throughput of the network are discussed