The core principle addresses the calculation of the voltage transfer characteristic (VTC) trip point ($V_M$) for CMOS inverters composed of either long-channel or short-channel transistors, governed by distinct analytical models based on channel length modulation and drain-induced barrier lowering. The theory defines specific boundary conditions where current continuity equations equate pull-up and pull-down currents to determine the switching threshold, utilizing parameters such as mobility ratios ($k$), aspect ratios (width-to-length $W/L$), saturation voltages ($V_{DS,sat}$), and channel length modulation coefficients ($\lambda$). This concept belongs to the domain of analog-digital interface design within integrated circuit engineering, serving as a critical mechanism for predicting inverter gain, noise margins ($V_IH$, $V_IL$), and robustness against process variations like body effect.
The core principle addresses the calculation of the voltage transfer characteristic (VTC) trip point ($V_M$) for CMOS inverters composed of either long-channel or short-channel transistors, governed …