Jitter and phase noise in ring oscillators

Abstract

Abstract-A companion analysis of clock jitter and phase noise of single-ended and differential ring oscillators is presented. The impulse sensitivity functions are used to derive expressions for the jitter and phase noise of ring oscillators. The effect of the number of stages, power dissipation, frequency of oscillation, and shortchannel effects on the jitter and phase noise of ring oscillators is analyzed. Jitter and phase noise due to substrate and supply noise is discussed, and the effect of symmetry on the upconversion of 1/f noise is demonstrated. Several new design insights are given for low jitter/phase-noise design. Good agreement between theory and measurements is observed.

Self-Timed Rings: A Promising Solution for Generating High-Speed High-Resolution Low-Phase Noise Clocks

“…Another very important point is the symmetry between rising and falling edges; A.Hajimiri shows in [13] that the corner frequency f C is related to the symmetry between the edges. We can see from the Figure 9 and equation (6) that the more symmetrical the edges, the closest to zero f c .…”

“…In addition to the dynamic implementation [17], there are different static implementations of the Celement in the literature such as the Weak-feedback by Martin [14], the Conventional by Sutherland [15] and Symmetric by Van Berkel [16]. The dynamic implementation [13] (Figure 5.a) is composed by an output inverter and the main stack of transistors of the C-element. These transistors called "switchers" contribute to the switching of the output.…”

“…This is a result of the better characteristics of the falling and rising edges of the STR with larger wn. This can be explained by the "Impulse Sensitivity Function" (ISF) introduced by Hajimiri [13] which represents the sensitivity to the signal disturbance. On one hand, when a pulse is injected during a transition, this results in a large phase shift.…”

“…However, it is unfortunately not possible with the standard structure of these oscillators. This requires the use of differential structures like CML "Current Mode Logic'' [13] or feedback loops [2]. Many works deal with this subject [18][19][20][21].…”

Wake-up Receiver Based Ultra-Low-Power WBAN

“…is normally distributed (N ) with zero mean, and the variance is approximated by σ pn (τ) 2 , see [34] and [35]; note that the variance depends on the time difference τ:…”