Modeling the Combined Effects of Transmission Media and Ground Bounce on Power Supply Induced Jitter

Power Supply Induced Jitter Including the Ground Bounce and Transmission Media Effects

“…1. A closed-form expression for the transmission media is derived using lossy lumped π-model of the transmission line [38]. 2.…”

“…2. The relations developed in contributions (1) are combined with a voltage mode driver (VMD) circuit [38], which is widely used in low voltage differential signaling [40], for PSIJ analysis. Using small signal model of the driver, expressions for the differential output noise response across the load is derived.…”

“…3. Proposed method in contribution (2) is generalized to overcome the need of deriving analytical expressions for different number of segments and load settings every time (which otherwise is a computationally tedious task [38]). A systematic and recursive approach based on Thomas Algorithm [41], [42] is developed to obtain the differential noise response.…”

“…The physical power distribution network consists of several levels of hierarchy: the voltage regulator module (VRM), printer circuit board (PCB), decoupling capacitors, the package and power distribution on silicon chip as illustrated in Figure 2.1. Voltage regulator module (VRM) is a DC-DC converter [38] that converts an input DC voltage to a specified supply voltage as required by the IC chip. Printed circuit board (PCB) mechanically supports various components in the system.…”

“…It uses just one bit full simulation (unlike the conventional methods that require simulation of hundreds of bits) and consequently leads to significant speed-up. The method was also extended to current-mode driver based circuits [35] as well as differential traces with ground bounce in [36]- [38].…”