Small-signal gain calculations for a CMOS analog amplifier using short channel equations using nm technology

CMOS analog inverter is a basic and simple gain stage for mobile applications. This paper suggests a simple way to calculate the gain of a push-pull inverter which consists only of a one nMOS and one pMOS transistors without additional resistors. This method is based on finding the following two relations for nMOS and Pmos transistors: gm/Ids versus VGS and the channel modulation coefficient λ versus VDS. Then the short channel equations are developed to find gm (transconductance) and gds (output conductance) for both nMOS and pMOS transistors.