Question

12. Inverter propagation delay: time delay between input and output signals; figure of merit of logic speed. Assume figure below showed the input to an inverter, complete the figure by showing/labeling tpHL,tpLH,tf,tr. Vin Vout 13. Consider the CMOS inverter pictured below. Take channel length modulation into account. VDD=1.5V W/L=12/1.5 Vin Vout Cload=0.5pF W/L=6/1.5 Parameter NMOS PMOS Vto 0.5 V -0.5 V ? 220 cm²/Vs 110 cm²/Vs ? 0.1 V?¹ 0.1 V?¹ Tox 15 nm 15 nm Dimensions of W and L are in ?m a) Calculate VM, the voltage midpoint. b) Calculate AV, the voltage gain at Vin=VM. c) Calculate NML and NMH, the noise margin low and noise margin high. d) Calculate tPHL and tPLH, the propagation delay from high-to-low and propagation delay from low-to-high.

          12. Inverter propagation delay: time delay between input and output signals; figure of merit of logic speed. Assume figure below showed the input to an inverter, complete the figure by showing/labeling tpHL,tpLH,tf,tr.
Vin
Vout
13. Consider the CMOS inverter pictured below. Take channel length modulation into account.
VDD=1.5V
W/L=12/1.5
Vin
Vout
Cload=0.5pF
W/L=6/1.5
Parameter NMOS PMOS
Vto 0.5 V -0.5 V
? 220 cm²/Vs 110 cm²/Vs
? 0.1 V?¹ 0.1 V?¹
Tox 15 nm 15 nm
Dimensions of W and L are in ?m
a) Calculate VM, the voltage midpoint.
b) Calculate AV, the voltage gain at Vin=VM.
c) Calculate NML and NMH, the noise margin low and noise margin high. d) Calculate tPHL and tPLH, the propagation delay from high-to-low and propagation delay from low-to-high.

12. Inverter propagation delay: time delay between input and output signals; figure of merit of logic speed. Assume figure below showed the input to an inverter, complete the figure by showing/labeling tpHL,tpLH,tf,tr.
Vin
Vout
13. Consider the CMOS inverter pictured below. Take channel length modulation into account.
VDD=1.5V
W/L=12/1.5
Vin
Vout
Cload=0.5pF
W/L=6/1.5
Parameter NMOS PMOS
Vto 0.5 V -0.5 V
? 220 cm²/Vs 110 cm²/Vs
? 0.1 V?¹ 0.1 V?¹
Tox 15 nm 15 nm
Dimensions of W and L are in ?m
a) Calculate VM, the voltage midpoint.
b) Calculate AV, the voltage gain at Vin=VM.
c) Calculate NML and NMH, the noise margin low and noise margin high. d) Calculate tPHL and tPLH, the propagation delay from high-to-low and propagation delay from low-to-high.

Added by Joshua S.

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