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Low Power VLSI Design The Inverter Dr Anu Mehra
The CMOS Inverter: A First Glance V in V out C L V DD
CMOS Inverter Polysilicon In Out GND PMOS 2  Metal 1 NMOS Contacts N Well V DD
Two Inverters Connect in Metal Share power and ground Abut cells
CMOS Inverter First-Order DC Analysis V OL  = 0 V OH  = V DD V M  = f(R n , R p ) V DD V DD V in 5 V DD V in 5 0 V out V out R n R p
CMOS Inverter: Transient Response   V out V out R n R p V DD V DD V in 5 V DD V in 5 0 (a) Low-to-high (b) High-to-low C L C L t pHL = f(R on .C L ) = 0.69 R on C L
Voltage Transfer Characteristic
PMOS Load Lines V DSp I Dp V GSp =-2.5 V GSp =-1 V DSp I Dn V in =0 V in =1.5 V out I Dn V in =0 V in =1.5 V in = V DD +V GSp I Dn = - I Dp V out = V DD +V DSp V out I Dn V in = V DD +V GSp I Dn = - I Dp V out = V DD +V DSp
CMOS Inverter Load Characteristics
CMOS Inverter VTC
Switching Threshold as a function of Transistor Ratio 10 0 10 1 0.8 0.9 1 1.1 1.2 1.3 1.4 1.5 1.6 1.7 1.8 M V (V) W p /W n
Determining V IH  and V IL A simplified approach V OH V OL V in V out V M V IL V IH
Inverter Gain
Simulated VTC
Propagation Delay
CMOS Inverter Propagation Delay Approach 1 ∆ t=C L ∆V/I DS Iav is average charging current and  ∆V is V DD /2 V DD V out V in = V DD C L I av t pHL = C L V swing /2 I av
CMOS Inverter Propagation Delay Approach 2
Transient Response t p  = 0.69 C L  (R eqn +R eqp )/2 t pLH t pHL
Delay as a function of V DD
The Transistor as a Switch
Design for Performance (minimum delay) ,[object Object],[object Object],[object Object],[object Object]
To MAKE A SYMMETRIC INVERTER tpHL=tpLH ,[object Object],[object Object],[object Object],[object Object],[object Object]
[object Object]
To minimize total delay ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
[object Object],[object Object],[object Object]
[object Object]
NMOS/PMOS ratio tpLH tpHL tp    = W p /W n

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Anu Mehra ppt - 2