I. Introduction
High density and high speed are becoming increasingly important for large-scale integrated (LSI) circuits to achieve higher functionality. To cope with power consumption and heat issues, the supply voltage of LSIs decreased continuously. Therefore, power integrity (PI) issues due to high-speed switching are becoming more serious. In particular, the simultaneous switching noise generated by a large amount of gate switching is one of the main factors causing large voltage fluctuations in on-chip power distribution networks (PDNs).