Use the data from the table below to calculate the following (Ignore channel length modulation effect): (a) Transconductance coefficient kn (b) Nominal threshold voltage Vth0 (c) Threshold voltage Vth @VSB = 2V, and what is the body effect coefficient y, given |OB| = 0.37 eV.
Inverter VTC and Noise Margin 5. (30 points) Given an CMOS inverter, please answer the following question: (a) (10 points) Derive the analytic expressive of the CMOS inverter VTC, i.e., Vout as a function of Vin for region 2 and region 4. Assume |Vtp| = Vtn and kn = kp. (b) (10 points) Assume |Vtp| = Vtn = 0.5V and kn = kp, then calculate the noise margin for an inverter operating at VDD = 1.5 V. (c) (10 points) If pMOS is biased to 0 V, i.e., Vgs,p = -VDD, does the VTC of this inverter shift right or left? Justify your answer.
Series connected MOS transistors. As shown in the following figure, two MOS transistors (M1 and M2) are connected in series with the same width and different channel lengths of L1 and L2. Please use the long-channel model to prove that the overall behavior of M1 and M2 is identical to that of a single MOS transistor with the length of (L1+L2).
Shown below is two MOS transistors in series. a. Assuming the transistors have the same threshold voltage, and that VDS is large enough, argue in which region of operation M1 and M2 are. b. Show that for the equivalent transistor, B = B1B2/B1+B2 Assume both transistors are square-law, and ignore channel length modulation. B = uCoxW/L