Power supply induced jitter (PSIJ) is becoming increasingly critical in modern high-speed and lower-power designs. In this paper, a semi-analytical method is presented to estimate the PSIJ in the presence of both the transmission media as well as the ground bounce. For this purpose, recently developed EMPSIJ method is extended to include the effects of both the ground bounce and the transmission line discontinuities. Results are presented by considering a voltage mode driver circuit and are compared against the conventional simulations (commercial tools) in a 55nm technology of STMicroelectronics. The new method while providing comparable accuracy yields significant speed-up. © 2018 IEEE.