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.

This paper presents jitter characteristics of synchronous residual time stamp (SRTS) used in ATM adaptation layer (AAL) type 1. It is pointed out that low frequency jitter appears at the receiver output of SRTS, similar to pulse stuffing synchronization. The jitter waveform in the SRTS is presented together with its Fourier series representation, and the low frequency jitter amplitude is determined. There is a parameter called the residue that plays the same role as the stuffing ratio in pulse stuffing synchronization, where the low frequency jitter amplitude exhibits a peak when the residue is a rational number. It is shown that the jitter waveform and the low frequency jitter amplitude are somewhat different from those obtained by the analog with pulse stuffing synchronization. The dependencies of the low frequency jitter amplitude to some parameters are also considered. It appears that the higher the reference frequency, the smaller the resulting low frequency jitter amplitude. Some numerical examples are given to demonstrate the validity of the analysis.