Delay jitter first-order and second-order statistical functions of general traffic on high-speed multimedia networks

Abstract

We develop analytical approximations for the first order and second-order statistics of the delay jitter experienced by a stationary traffic stream multiplexed at a major communication node; these approximations are then used to gain insight into the behavior of jitter at a single node under diverse system and traffic conditions. Our construction applies when the node can be modeled as a finite quasi-birth-death (QBD) process and the interarrival time probability density functions (pdfs) for the tagged stream are obtainable. We compare the jitter performance of three different tagged streams: periodic, Poisson, and on/off binary Markov process. Because jitter behavior is most deleterious for the former, we study the individual effects of various system and traffic parameters on the jitter statistics of a periodic stream multiplexed in a Markov-modulated Poisson process (MMPP)/M/1/K system. To demonstrate the flexibility of this analytical technique, we also consider a JPEG video stream multiplexed with JPEG, MPEG, and data sources on an OC-12 line.