Waveform analysis of jitter in SRTS using continued fraction

This paper presents a method to analyze jitter waveform in synchronous residual time stamp (SRTS) using continued fraction. It is shown first that the jitter waveform can be decomposed into triangular wave components and that each component corresponds to a rational approximation value of a parameter called residue. Next, quasi-simple continued fraction expansion of the residue is defined to obtain rational approximation values of the residue in a systematic manner. This method gives a series of rational approximation values of the residue. It corresponds to the decomposition of the SRTS jitter waveform into triangular wave components. Many characteristics of the jitter waveform are derived by the quasi-simple continued fraction expansion of the residue. Especially, the average amplitude and period of each triangular wave component are given.