A Novel Time-Domain Approach for Extracting Broadband Models of Power Delivery NetworksWith Resonance Effect

Abstract

Resonance noise, or power/ground bounce noise, on the power and ground planes of high-speed circuit packages is one of the main concerns of signal integrity or power integrity issues. A novel time-domain approach is proposed to synthesize the broadband models of the power/ground planes with resonance effect. Using waveforms either from measurements by time-domain reflectrometry or simulations by the finite-difference time-domain method, the time-domain step response of the planes is characterized with a pole-residue representation obtained through the matrix pencil method. Lumped circuit equivalent circuit models are then synthesized through the pole-residue representations. The synthesized model can accurately predict the resonance behavior of power/ground planes over a wide frequency range. These models can be efficiently incorporated into the currently available circuit simulator such as HSPICE for the consideration of power/ground bouncing noise in high-speed circuits. Three cases are tested to demonstrate the validity and broadband accuracy of the proposed approach.