Delay and jitter property of mutually synchronized networks using complete digital plls

Abstract

AbstractThis paper discusses the effect of delay propagation in the mutually synchronized network using completely digital PLL. A difference equation is derived with the risetime differences among nodes as the variables. The dynamical properties of the mutually synchronized network including the propagation delay, the steady‐state and the jitter characteristic are derived. As a result, the following properties are demonstrated. When the delay is less than half of the steady‐state period, the dynamical property and the jitter of the network are the same as those of the network, without delay. However, when it is larger than the half‐period, the dynamical property and the jitter of the network are affected by the delay. It is also shown that the jitter suppression of the N‐node mutually synchronized network is approximately proportional to the number of nodes N.