Lecture 12 Circuits numériques (II)


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1 Lecture 12 Circuits numériques (II) Circuits inverseurs MOS Outline NMOS inverter with resistor pullup The inverter NMOS inverter with currentsource pullup Complementary MOS (CMOS) inverter Static analysis of CMOS inverter 6.12 Spring 24 Lecture 12 1
2 1. NMOS inverter with resistor pullup: Dynamics C L pulldown limited by current through transistor [shall study this issue in detail with CMOS] C L pullup limited by resistor (t PLH RC L ) Pullup slowest R R : LO HI C L : HI LO : HI LO C L : LO HI pulldown pullup 6.12 Spring 24 Lecture 12 2
3 1. NMOS inverter with resistor pullup: Inverter design issues Noise margins A v R RC L slow switching g m W big transistor (slow switching at input) Tradeoff between speed and noise margin. During pullup we need: High current for fast switching But also high incremental resistance for high noise margin. use current source as pullup 6.12 Spring 24 Lecture 12 3
4 2. NMOS inverter with currentsource pullup I V characteristics of current source: i SUP + v SUP i SUP I SUP 1 r oc _ v SUP Equivalent circuit models : i SUP + v SUP I SUP roc r oc _ largesignal model smallsignal model High current throughout voltage range v SUP > i SUP = for v SUP i SUP = I SUP + v SUP / r oc for v SUP > High smallsignal resistance r oc Spring 24 Lecture 12 4
5 NMOS inverter with currentsource pullup Static Characteristics load line i SUP =I D i SUP V GS = I SUP V GS = C L V DS V GS =V T Inverter characteristics : V T High r oc high noise margins 6.12 Spring 24 Lecture 12 5
6 PMOS as currentsource pullup I V characteristics of PMOS: S G IDp D IDp IDp saturation VSGp VSGp=VTp VSDp VTp VSGp Note: enhancementmode PMOS has V Tp <. In saturation: I Dp ( V SG + V ) 2 Tp 6.12 Spring 24 Lecture 12 6
7 PMOS as currentsource pullup: Circuit and loadline diagram of inverter with PMOS current source pullup: I Dp =I Dn PMOS load line for V SG = V B V B C L Inverter characteristics: NMOS cutoff PMOS triode NMOS saturation PMOS triode NMOS saturation PMOS saturation NMOS triode PMOS saturation V Tn 6.12 Spring 24 Lecture 12 7
8 PMOS as currentsource pullup: NMOS inverter with currentsource pullup allows high noise margin with fast switching High Incremental resistance Constant charging current of load capacitance But When =, there is a direct current path between supply and ground power is consumed even if the inverter is idle. I Dp =I Dn PMOS load line for V SG = V B V B :HI C L :LO Ideally, we would like to have a current source that is itself switchable, i.e it shuts off when input is high CMOS! 6.12 Spring 24 Lecture 12 8
9 3. Complementary MOS (CMOS) Inverter Circuit schematic: C L Basic Operation: = = V GSn = < V Tn NMOS OFF V SGp = >  V Tp = = PMOS ON V GSn = > V Tn NMOS ON V SGp = <  V Tp PMOS OFF No power consumption while idle in any logic state! 6.12 Spring 24 Lecture 12 9
10 CMOS Inverter (Contd.): Output characteristics of both transistors: I Dn I Dp V GSn V SGp V GSn =V Tn V SGp =V Tp V DSn V SDp Note: = V GSn = V SGp V SGp =  = V DSn = V SDp V SDp =  I Dn = I Dp Combine into single diagram of I D vs. with as parameter 6.12 Spring 24 Lecture 12 1
11 CMOS Inverter (Contd.): I D  No current while idle in any logic state Inverter Characteristics: NMOS cutoff PMOS triode NMOS saturation PMOS triode NMOS saturation PMOS saturation NMOS triode PMOS saturation NMOS triode PMOS cutoff V Tn +V Tp railtorail logic: logic levels are and High A v around logic threshold good noise margins 6.12 Spring 24 Lecture 12 11
12 2. CMOS inverter: noise margins NM L V M A v (V M ) V IL V M V IH NM H Calculate V M Calculate A v (V M ) Calculate NM L and NM H Calculate V M (V M = = ) At V M both transistors are saturated: I Dn = W n µ 2L n C ox ( V M V Tn ) 2 n I Dp = W p µ 2L p C ( ox V M + V ) 2 Tp p 6.12 Spring 24 Lecture 12 12
13 CMOS inverter: noise margins (contd.) Define: k n = W n L n µ n C ox ; k p = W p L p µ p C ox Since : Then: I Dn = I Dp 1 2 k n( V M V Tn ) 2 = 1 2 k ( p V M + V ) 2 Tp Solve for V M : V M = V Tn + k p k n ( + V Tp ) 1+ k p k n Usually, V Tn and V Tp fixed and V Tn =  V Tp V M engineered through k p /k n ratio Spring 24 Lecture 12 13
14 CMOS inverter: noise margins (contd..) Symmetric case: k n = k p V M = 2 This implies (2<k<3): k p k n =1 = W p L p µ p C ox W n L n µ n C ox W p L p µ p W n L n k.µ p W p L p k W n L n Since usually L p L n = L min W p k.w n Asymmetric case: k n >> k p, or W n L n >> W p L p V M V Tn NMOS turns on as soon as goes above V Tn. Asymmetric case: k n << k p, or W n L n << W p L p V M + V Tp PMOS turns on as soon as goes below + V Tp Spring 24 Lecture 12 14
15 CMOS inverter: noise margins (contd ) Calculate A v (V M ) Small signal model: + S2 + + v sg2 =v in g mp v sg2 r op  G2 D2 + D1 G1 v in v gs1 g mn v gs1 r on v out S1 G1=G2 D1=D2 + + v in gmn v in g mp v in r on //r op v out  S1=S2 A v = ( g mn + g mp )r ( on // r ) op  This can be rather large Spring 24 Lecture 12 15
16 CMOS inverter: calculate noise margins (contd.) NM L V M A v (V M ) V IL V M V IH V IN NM H Noisemargin low, NM L : V IL = V M V M A v NM L = V IL V OL = V IL = V M V M A v Noisemargin high, NM H : V IH = V M A v NM H = V OH V IH = V M 1+ 1 A v 6.12 Spring 24 Lecture 12 16
17 What did we learn today? Summary of Key Concepts In NMOS inverter with resistor pullup, there is a tradeoff between noise margin and speed Tradeoff resolved using current source pullup Use PMOS as current source. In NMOS inverter with currentsource pullup: if = High, there is power consumption even if inverter is idling. Complementary MOS: NMOS and PMOS switchon alternatively. No current path between power supply and ground No power consumption while idling Calculation of CMOS V M Noise Margin 6.12 Spring 24 Lecture 12 17
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