Ballot technique to analyze unslotted CDMA with fixed packet lengths

A technique to analyze the throughput of an L-channel CDMA (code-division multiple-access) network is presented. Two approximations are needed to use the technique. First, we need to divide the packet into minislots. Second, at most one arrival or one departure can occur in one minislot, but not both. The error due to the approximation is very small for small λ/M and large M, where M is the bit size of the packet and λ is the rate of the packet-arrival process. The technique is verified using M=64. Results obtained by the ballot technique are very close to the simulation results for low arrival rates and less accurate for higher arrival rates. The disadvantage of the ballot technique is that the solution is not given in a compact close form