Generation of Pseudo-Random Power-Law Noise Sequences by Spectral Shaping

Since the beginning, simulation has been an essential tool for assessing the performance of synchronization networks and of stand-alone clocks. In this paper, the issue of simulating the clock noise process in the time domain, by generating pseudo-random sequences having specified power spectrum, is studied. In particular, the so-called power-law noise is addressed, which is one of most adopted models used to characterize clock noise, for example in simulating the dynamics of SDH/SONET pointer adjustments or the slip occurrence in digital switching exchanges. Therefore, an effective algorithm to this purpose is provided. Moreover, some results of simulations of all kinds of power-law noise are provided. The algorithm described is general and may be applied also in other contexts, to simulate noise of any kind. Key-Words: digital communication, jitter, SDH, simulation, SONET, synchronization, wander.

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