Per - Stream Jitter Analysis in CBR

| Constant Bit Rate (CBR) traac is expected to be a major source of traac in high-speed networks. Such sources may have stringent delay and loss requirements and in many cases, they should be delivered exactly as they were generated. A simple delay priority scheme will bound the cell delay and jitter for CBR streams, so that in the network switches, CBR traac will only compete with other CBR traac in the networks. In this paper, we will consider a multiplexor in such an environment. We provide an exact analysis of the jitter process in the homogeneous case. In this case, we obtain the complete characterization of the jitter process showing the inaccuracies of the existing results. Our results indicate that jitter variance is bounded and never exceeds the constant 2 3 slot. It is also shown that the per-stream successive cell inter-departures times are negatively correlated with the lag 1 correlation of ? 1 2. Higher order correlation coeecients are shown to be zero. Simple asymptotic results on per-stream behavior are also provided when the number of CBR streams is considered large. In the heterogeneous case, we bound the jitter distribution and moments. Simple results are provided for the computation of the bound on the jitter variance for any mix of CBR streams in this case. It is shown that streams with a low rate (large period) do experience little jitter variance. However, the jitter variance for the high-rate streams could be quite substantial.