Abstract. With the development of manufacturing techniques and hardware devices, the need for high-speed chips is bursting. As a review report, we analyze the fundamentals and latest progress of modeling, analysis, and design technologies for signal integrity and electromagnetic compatibility on PCB and package in the past decades. Most results in this area are very rich and highly education during his long scientific career based on Professor Clayton Paul's literary creation also consider the inclusion variability of parameters, it is shown how statistical simulation can be affordable by the recently introduced stochastic method. As the final conclusion, we take into consideration of the necessity of practical training of designers and an experience relying on realistic PCB demonstrators is illustrated and discussed.