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Calculate noise margins and the switching threshold of the inverter. The power supply voltage VDD=3.3V

For CMOS Inverter with following parameters

VTO,n=0.6VμnCOX=60µA/V2(W/L)n=8 VTO,n=0.7VμnCOX=20µA/V2(W/L)n=12

Calculate noise margins and the switching threshold of the inverter. The power supply voltage VDD=3.3V


Subject :- VLSI Design

Topic :- MOSFET Inverters

Difficulty :- Medium

1 Answer
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Given,

VTO,n=0.6V

VTO,p=0.7V

VDD=3.3V

μnCox=60μA/V2

μpCox=20μA/V2

(Wn/Ln)=8

(Wp/Lp)=12


To calculate: Noise Margins

Formula: Noise Margins

NHL=VILVOL

NHH=VOHVIH


VIL=2Vout+VtopVDD+KRVTON1+KR

VIH=Vtop+VDD+KR(2Vout+VTON)1+KR

but, μnCox=60μA/V2,

μpCox=20μA/V2

KR=μnCoxμpCox(Wn/Ln)(Wp/Lp)

=6020812=2

VIL=2Vout0.733+(20.6)1+2

VIL=0.6Vout0.93 ------ (1)


K2R2(VILVON)2

=K2R2[2(VinVDDVTON)(VoutVDD)(VoutVDD)2]

4(0.6Vout0.930.6)2

=[2(0.67Vout2.6)(Vout3.3)(Vout3.3)2]

=[2(0.67V2out2.6Vout2.21Vout+8.58)

(V2out6.6Vout+10.89)]


4(0.6Vout1.53)2

=[2(0.67V2out4.811Vout+8.58)(V2out6.6Vout+10.89)]

4(0.36V2out1.836Vout+2.34)

=1.44V2out7.34Vout+9.36=0.34V2out3.02Vout+6.27

1.1V2out10.36Vout+3.09=0

Vout=9


VIL=0.6Vout1.33
VIL=4.07V


VIH=Vtop+VDD+KR(2Vout+VTON)1+KR

=3.30.7+2(2Vout+0.6)3

=3.8+4Vout3

VIH=1.26+1.33Vout

Vout=0.3V


VIH=1.26+1.330.3
VIH=1.6V


NHL=VILVOL=4.070=4.07V

NHH=VONVIH=3.31.6=1.7V

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