Provided a basic assumption applies, RMS cycle to cycle jitter can be estimated from RMS period jitter as follows:
Jcc (RMS) = sqrt(3) * Jper (RMS)
The basic assumption is that the oscillator or clock output's period distribution is Gaussian or “Normal”, and that the absolute jitter of the clock edges is uncorrelated. The sqrt(3) factor arises from the definitions of period jitter and cycle to cycle jitter in terms of the timing jitter of each clock edge versus a reference clock.
Please see the example file, Si570 100MHz 3V3 LVPECL Scope Screen Cap Diff 1M period histogram annotated.png, attached to this KB entry. Here are a few items noted and called out on the screen capture.
1. The period distribution after 1 million cycles appears Gaussian and comes close to meeting the 68-95-99.7 % rule for standard deviations.
2. The measured RMS period jitter is the standard deviation of the period jitter distribution or about 1.17 ps. We therefore estimate the RMS cycle to cycle jitter as sqrt(3) * 1.17 ps or 2.03 ps.
4. The actual measured cycle to cycle jitter is 2.05 ps which is reasonably close to the estimate.