Kernel based LSI system model for synthesizing self-similar network traffic traces

The authors have previously studied simulation of network traffic traces using a fractional pole-zero system derived from a discrete-time dilation or scaling operation based on warping transforms that convert discrete-time frequency to a continuous-time frequency. However, such a model can be used to analyze and simulate only stationary discrete-time self-similar signals. This paper propounds a more general model for discrete-time linear scale-invariant (DLSI) systems built on linear kernel approaches. It is shown that this model can synthesize self-similar processes for simulating non-stationary network traffic.