Analytic estimation of jitter and eye diagram based on transmission line time domain response considering skin effect and stochastic crosstalk

Abstract

In this article, an analytic approach is proposed for estimation of oscillating signal jitter and eye diagram on a transmission line (TL). Basically, the jitter is a result of oscillator phase noise. There are two types of internal and external sources of phase noise which both are considered in the proposed stochastic estimation. Crosstalk between adjacent TLs is the main source of external phase noise on an oscillating signal of a system layout. This phenomenon on the victim TL is studied with stochastic input signal driving for the aggressor TL. For mathematical derivation, the skin effect of the TL is considered for better accuracy. The skin effect of the TL is considerable in high frequency like bit rate one. In addition, a magnetic near-field probe and test procedure are designed and proposed for the measurement of the TL operating stochastic signal without loading effect. A test board is designed and fabricated for verification of the proposed approach. The analytic derivations have good accuracy in estimation of bit rate of the TL less than 4% for the fabricated test board. For this test board, the crosstalk effect on the TL closes the eye diagram height by 30% in 20 GHz.