Minimizing Jitter in TDM over PSN Networks-Statistical Approach

In many communication networks, controlling the packet delay variation (pdv) (in packet switched networks (PSN)) or jitter (in TDM networks) are challenging. In PSNs, pdv is crucial for real-time (e.g. telephony) and near real-time (e.g. streaming audio, video, VoD). Conventionally, many methods were adopted among which the most primitive way of traffic regulation is through the leaky bucket algorithm wherein the bursty sources in the internet are 'regulated' or 'shaped'. There are other schemes which are adopt 'deterministic' way to reduce jitter. In this paper, we adopt a method of dictating the service distribution (marginal joint) to control the output pdv or jitter. We rely heavily on the result in [1] which showed that positive correlations in service intervals do reduce the mean variance of queue length while it is vice versa for negative correlations. We show analytically that for negatively correlated queue, the IDI variance decreases as the correlation increases (and vice versa for positive correlation). But this is at the cost of increased delay (waiting time plus service time). Note that IDI variance appears as pdv or jitter at receiver/downstream node. To demonstrate the efficacy of the above findings, we apply the above to steaming audio and TDM over PSN problems. It is demonstrated that the jitter is minimized at the receiver.