16 SET THE CURRENTS THROUGH THE TRANSISTORS EQUAL AND SOLVE THE NAST...

2.16 Set the currents through the transistors equal and solve the nasty quadratic for V

_out

.

In region B, the nMOS is saturated and pMOS is linear:

β β  − 

V V

( ) ( ) ( ) ( )

2 out

− =  − − +  −

DD

V V V V V V V

in in outt DD t DD

2 2

 

2 2

= + + + − − + − −

V V V V V V V V V V V

out in in in int t t DD DD t

In region D, the nMOS is linear and the pMOS is saturated:

β − + = β    − −   

( ) ( )

2

^{DD t t}

2

( ) ( ) ( )

= − − − − − −

V V V V V V V V

out in in int t DD t