MIT6_012s09_pset04

# MIT6_012s09_pset04 - LEVEL=1 VT0=0.5 TOX=1.5e-8 U0=220...

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MIT OpenCourseWare http://ocw.mit.edu 6.012 Microelectronic Devices and Circuits Spring 2009 For information about citing these materials or our Terms of Use, visit: http://ocw.mit.edu/terms .

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_____________________________________________________________ Massachusetts Institute of Technology Department of Electrical Engineering and Computer Science 6.012 Microelectronic Devices and Circuits Homework #4 Problem 1 Consider the CMOS inverter pictured below. Take channel length modulation into account. Parameter NMOS PMOS V TO 0.5 V -0.5 V µ 220 cm 2 /Vs 110 cm 2 /Vs λ 0.1 V -1 0.1 V -1 T ox 15 nm 15 nm • Dimensions of W and L are in μm a) Calculate V M , the voltage midpoint. b) Calculate A V , the voltage gain at V IN =V M . c) Calculate N ML and N MH , the noise margin low and noise margin high. d) Calculate t PHL and t PLH , the propagation delay from high-to-low and propagation delay from low-to-high.
Problem 2 We will now use the following SPICE model and compare our hand calculations from Problem 1 with simulated results. .MODEL N15 NMOS

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Unformatted text preview: LEVEL=1 VT0=0.5 TOX=1.5e-8 U0=220 LAMBDA=1.0e-1 +GAMMA=0.6 CJ=1e-4 CJSW=5e-10 PB=0.95 .MODEL P15 PMOS LEVEL=1 VT0=-0.5 TOX=1.5e-8 U0=110 LAMBDA=1.0e-1 +GAMMA=0.6 CJ=3e-4 CJSW=3.5e-10 PB=0.9 a) Use the DC sweep on the input voltage to simulate transfer characteristics using SPICE. Compare V M , A V , N ML , N MH , with the calculated results. b) Use the Pulse input to simulate an input waveform shown below using SPICE. Compare t PHL and t PLH with your hand calculations. Problem 3 Consider the circuit below, which consists of an NMOS device and PMOS current source load. a) Calculate the width of the PMOS device so its saturation current is 50µA. b) Calculate V M , V OH , V OL . Remember, for hand calculations we assume V OH =V MAX , and V OL =V MIN . c) Calculate the voltage gain of this circuit, when V IN =V M . d) Calculate V OUT when V IN =3....
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