Performance analysis of non-stationary model for empirical VBR process

Long been observed characteristics of empirical VBR process is its slowly decaying sample autocorrelations. In this work, we explain slowly decaying sample autocorrelations of the empirical VBR using the non-stationary model, which well reflects the stochastic characteristics of VBR process. Our model generates the synthetic sequence which has the same periodic characteristics as well as slowly decaying sample autocorrelations of the empirical VBR process. Simulation experiment results confirm that the proposed model provides satisfiably good projection on stochastic behavior of the empirical process in terms of packet loss and burstiness of packet loss. The result of our work not only contributes to provide the theoretical explanation on the observed characteristics of VBR traffic but also contributes to developing efficient method for generating synthetic sequence for various engineering purposes.