CMOS original:0//0, revised:03// CMOS CMOS CMOS NOT V in 0 n MOSFET p MOSFET V out V DD V in V DD n MOSFET p MOSFET V out 0 : CMOS CMOS
c 03 MOSFET n MOSFET 0, I Dn = β n VGSn V thn V ] DSn VDSn, β n (V GSn V thn ), () p MOSFET 0, ] I Dp = β p V GSp V thp VDSp V DSp, βp (V GSp V thp ), () MOSFET : MOSFET n MOSFET p MOSFET V GSn < V thn V GSp > V thp V DSn < V GSn V thn V DSp > V GSp V thp V DSn > V GSn V thn V DSp < V GSp V thp MOSFET : MOSFET MOSFET V GSn = V in, V DSn = V out (3) V GSp = V in V DD, V DSp = V out V DD (4)
c 03 3 3: CMOS CMOS 3 β n = β p = β (5) V thn = V thp = V th (6) I Dn = I Dp (7). V in V GSn = V in < V th (8) n MOSFET p MOS- FET I Dn = 0 (9) I Dp = β V in V DD + V th V ] out V DD (V out V DD ) (0) I Dn = I Dp () V out = V DD ()
c 03 4 V th n MOSFET I Dn = β (V in V th ) (3) I Dp = β V in V DD + V th V ] out V DD (V out V DD ) (4) I Dn = I Dp (5) V in = V th V out = V DD V out = V in + V th + (V DD V in ) (V DD V th ) (6). V GSp = V in V DD > V th (7) p MOSFET n MOSFET I Dn = β V in V th V ] out V out (8) I Dp = 0 (9) I Dn = I Dp (0) V out = 0 () V DD V th p MOSFET n MOSFET I Dn = β V in V th V ] out V out () I Dp = β (V in V DD + V th ) (3) I Dn = I Dp (4) V in = V DD V th V out = 0 V out = V in V th (V in V DD ) (V DD V th ) (5)
c 03 5.3 0 n MOSFET p MOSFET I Dn = β (V in V th ) (6) I Dp = β (V in V DD + V th ) (7) V in V th = V in V DD + V th (8) V in = V DD (9) V DD V DSn > V GSn V th (30) V DSp < V GSp + V th (3) V out > V in V th (3) V out < V in V DD + V th (33) V th < V out < V DD + V th (34) CMOS 4 4 A E MOSFET : CMOS MOFET 4 p MOSFET n MOSFET A B C D E
c 03 6 4: CMOS.4 p MOSFET n MOSFET I sc 0 V in < V th β I sc = (V in V th ) V th < V in < VDD (35) β (V in V DD + V th ) VDD < V in < V DD V th 0 V DD V th V in I sc 5 5 I max ( VDD I max = β V th ) (36) 3 CMOS sc short circuit
c 03 7 5: CMOS 3. t 0 V in 0 V DD t = 0 V out = V DD V GSp = V in V DD = 0 (37) p MOSFET I Dp = 0 (38) n MOSFET 6 6: n MOSFET t = 0 n MOSFET V DSn = V DD, V GSn = V DD (39) V DSn > V GSn V thn (40)
c 03 8 C dv out = I Dn = β n (V DD V thn ) (4) V out = V DD β n C (V DD V thn ) t t = V DD (V DD V thn ) (4) τ n τ n τ n = C β n (V DD V thn ) (43) V DSn = V GSn V thn (44) V out = V DD V thn (45) (4) t = V thn V DD V thn τ n (46) (46) 0 C dv ( out = I Dn = β n V DD V thn V ) out V out (47) dv out = β n ( (V DD V thn ) V out ) V out C + (V DD V thn ) (V DD V thn ) V out V out ] dvout = β n C (48) (49) ln V out (V DD V thn ) V out = t + A (50) τ n τ n (43) V out (V DD V thn ) V out = A e t/τn (5) t = 0 V out = V DD V thn A = V out (V DD V thn ) V out = e t/τ n (5) V out = (V DD V thn ) e t/τ n + e t/τ n = (V DD V thn ) + e t/τ n CMOS 7 (53)
c 03 9 7: CMOS 3. t 0 V in V DD 0 t = 0 V out = 0 V GSn = 0 (54) n MOSFET I Dn = 0 (55) p MOSFET 8 8: p MOSFET t = 0 p MOSFET V DSp = V DD, V GSp = V DD (56) V DSp < V GSp V thp (57) C dv out = I Dp = β p ( V DD V thp ) = β p (V DD + V thp ) (58)
c 03 0 V out = β p C (V DD + V thp ) t t = (V DD + V thp ) (59) τ p τ p τ p = C β p (V DD + V thp ) (60) V DSp = V GSp V thp (6) V out V DD = V DD V thn (6) V out = V thp (63) V thp t = τ p (64) V DD + V thp p MOSFET (64) t = 0 C dv ( out = I Dp = β p V DD V thp V ) out V DD (V out V DD ) = β p (V DD + V thp + V out ) (V out V DD ) (65) t = 0 V out = V thp dv out = β p (V DD + V thp + V out ) (V out V DD ) C (V DD + V thp ) V out V DD V DD + V thp + V out ] dvout (66) = β p C (67) ln V out V DD V DD + V thp + V out = t + A (68) τ p τ p (60) V out V DD V DD + V thp + V out = A e t/τp (69) t = 0 V out = V thp A = V out V DD V DD + V thp + V out = e t/τ p (70) V out = V DD (V DD + V thp ) e t/τ p + e t/τp = V DD (V DD + V thp ) + e t/τp (7) CMOS 7
c 03 9: CMOS 4 CMOS C CMOS 0 V DD CMOS CMOS 0 V DD n MOSFET n MOSFET E n E n = = Vout =0 V out=v DD V DSn I Dn = 0 V DD CV out dv out = Vout =0 dv out CV out V out=v DD ] 0 CVout V DD = CV DD (7) V DD 0 p MOSFET p MOSFET E p E p = = Vout =V DD V out =0 VDD 0 = CV DD Vout =V DD V DSp I Dp = C (V out V DD ) dv out = V out =0 CVout C (V out V DD ) dv out CV DD V out ] 0 V DD (73) CMOS f f V out
c 03 P P = f (E n + E p ) = CfV DD (74)