Chapter 6 Combinational CMOS Circuit and Logic Design
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1 Chapter 6 Combinational CMOS Circuit and Logic Design Jin-Fu Li dvanced Reliable Systems (RES) Laboratory Department of Electrical Engineering National Central University Jhongli, Taiwan
2 Outline dvanced CMOS Logic Design I/O Structures dvanced Reliable Systems (RES) Lab. Jin-Fu Li, EE, NCU 2
3 Pseudo-NMOS Logic pseudo-nmos inverter p n F V DD V L The low output voltage can be calculated as P 2 V V ) V ( V V ) n( DD tn L DD tp for V V tn L Vtp Vt P ( V 2 n Thus V L depends strongly on the ratio The logic is also called ratioed logic DD 2 V T ) Time p / n dvanced Reliable Systems (RES) Lab. Jin-Fu Li, EE, NCU 3
4 Pseudo-NMOS Logic n N-input pseudo-nmos gate V out inputs NMOS network Features of pseudo-nmos logic dvantages Low area cost only N+1 transistors are needed for an N- input gate Low input gate-load capacitance C gn Disadvantage Non-zero static power dissipation dvanced Reliable Systems (RES) Lab. Jin-Fu Li, EE, NCU 4
5 dvanced Reliable Systems (RES) Lab. Jin-Fu Li, EE, NCU 5 n example of XOR gate realized with pseudo- NMOS logic The XOR is defined by Pseudo-NMOS XOR Gate X 1 Y X X X X X X X X X X X X X X Y X 2
6 Goals Noise margin Power consumption Speed Noise margin It is affected by the low output voltage (V L ) V L is determined by / Speed Choosing Transistor Sizes p n The larger the W/L of the load transistor, the faster the gate will be, particularly when driving many other gates Unfortunately, this increases the power dissipation and the area of the driver network dvanced Reliable Systems (RES) Lab. Jin-Fu Li, EE, NCU 6
7 Choosing Transistor Sizes Power dissipation pseudo-nmos logic gate having a 1 output has no static (DC) power dissipation. However, a pseudo-nmos gate having a 0 output has a static power dissipation The static power dissipation is equal to the current of the PMOS load transistor multiplied by the power supply voltage. Thus, the power is given by pcox W 2 Pdc ( ) P( Vgs Vtp) Vdd 2 L The large PMOS results in large power dissipation Power-reduction methods Select an appropriate PMOS Increase the bias voltage of PMOS dvanced Reliable Systems (RES) Lab. Jin-Fu Li, EE, NCU 7
8 Choosing Transistor Sizes simple procedure for choosing transistor sizes of pseudo-nmos logic gates The relative size (W/L) of the PMOS load transistor is chosen as a compromise between speed and size versus power dissipation Once the size of the load transistor has been chosen, then a simple procedure can be used to choose the W/Ls of the NMOS transistors in the NMOS network Let (W/L) eq be equal to one-half of the W/L of the PMOS load transistor For each transistor Q i, determine the maximum number of drive transistors it will be in series, for all possible inputs. Denote this number n i. Take (W/L) i =n i (W/L)eq dvanced Reliable Systems (RES) Lab. Jin-Fu Li, EE, NCU 8
9 n Example Choose appropriate sizes for the pseudo- NMOS logic gate shown below (W/L) 8 is 5 um/0.8 um (W/L) eq is (5/0.8)/2=3.125 Gate lengths of drive transistors are taken at their minimum 0.8um Q Thus we can obtain 8 5/0.8 Transistor Q 1 Q 2 Q 3 Q 4 Q 5 Q 6 Q 7 Size 2.5um/0.8um 5.0um/0.8um 5.0um/0.8um 10um/0.8um 10um/0.8um 10um/0.8um 10um/0.8um X 1 X 2 X 4 Q 1 Q 2 Q 4 X 5 X 3 X 6 Q 3 Q 6 X 7 Q 5 Q 7 Y dvanced Reliable Systems (RES) Lab. Jin-Fu Li, EE, NCU 9
10 Dynamic Logic To eliminate the static power dissipation of pseudo-nmos logic n alternative technique is to use dynamic precharging called dynamic logic as shown below PR V out inputs NMOS network Normally, during the time the output is being precharged, the NMOS network should not be conducting This is usually not possible dvanced Reliable Systems (RES) Lab. Jin-Fu Li, EE, NCU 10
11 Dynamic Logic nother dynamic logic technique V out inputs NMOS network CLK Precharge Evaluate CLK Two-phase operation: precharge & evaluate This can fully eliminate static power dissipation dvanced Reliable Systems (RES) Lab. Jin-Fu Li, EE, NCU 11
12 Examples of Dynamic Logic Two examples clk C Z=(+B).C clk B Y=BC B C clk clk dvanced Reliable Systems (RES) Lab. Jin-Fu Li, EE, NCU 12
13 Problems of Dynamic Logic Two major problems of dynamic logic Charge sharing Simple single-phase dynamic logic can not be cascaded Charge sharing clk= B C C 1 C 2 C 1 C 2 C C charge sharing model CV ( C C C ) V V DD C C C C V DD E.g., if C1 C2 0.5C clk=1 then output voltage is V DD /2 dvanced Reliable Systems (RES) Lab. Jin-Fu Li, EE, NCU 13
14 Problems of Dynamic Logic Simple single-phase dynamic logic can not be cascaded clock N 1 N 2 N1 inputs N Logic N Logic T d1 clock N 2 Erroneous State T d2 dvanced Reliable Systems (RES) Lab. Jin-Fu Li, EE, NCU 14
15 CMOS Domino Logic Domino logic can be cascaded The basic structure of domino logic V out inputs NMOS network CLK Some limitations of this structure Each gate must be buffered Only noninverting structures are possible dvanced Reliable Systems (RES) Lab. Jin-Fu Li, EE, NCU 15
16 Domino Cascade n example of cascaded domino logics Stage 1 Stage 2 Stage 3 V out NMOS network NMOS network NMOS network CLK precharge evaluate dvanced Reliable Systems (RES) Lab. Jin-Fu Li, EE, NCU 16
17 Charge-Keeper Circuits The domino cascade must have an evaluation interval that is long enough to allow every stage time to discharge This means that charge sharing and charge leakage processes that reduce the internal voltage may be limiting factors Two types of modified domino logics can cope with this problem Static version Latched version dvanced Reliable Systems (RES) Lab. Jin-Fu Li, EE, NCU 17
18 Charge-Keeper Circuits Modified domino logics Weak PMOS Weak PMOS Z Z Inputs N-logic Block Inputs N-logic Block Clk Clk Static version Latched version The aspect ratio of the charge-keeper MOS must be small so that it does not interfere with discharge event dvanced Reliable Systems (RES) Lab. Jin-Fu Li, EE, NCU 18
19 Complex Domino Gate In a complex domino gate, intermediate nodes have been provided with their own precharge transistor F N-logic N-logic N-logic N-logic CLK dvanced Reliable Systems (RES) Lab. Jin-Fu Li, EE, NCU 19
20 Multiple-Output Domino Logic Multiple-output domino logic (MODL) allows two or more outputs from a single logic gate The basic structure of MODL F 1 B F 2 CLK dvanced Reliable Systems (RES) Lab. Jin-Fu Li, EE, NCU 20
21 Multiple-Output Domino Logic Gate D D F 1 B C D F 2 B C C C C C B B B B F 3 B CLK dvanced Reliable Systems (RES) Lab. Jin-Fu Li, EE, NCU 21
22 NP Domino Logic further refinement of the domino logic is shown below The domino buffer is removed, while cascaded logic blocks are alternately composed of P- and N-transistors CLK -CLK CLK N-logic P-logic N-logic Other P blocks Other N blocks dvanced Reliable Systems (RES) Lab. Jin-Fu Li, EE, NCU 22
23 NP Domino Logic NP domino logic with multiple fanouts Other N blocks Other P blocks CLK -CLK CLK N-logic P-logic N-logic Other P blocks Other N blocks dvanced Reliable Systems (RES) Lab. Jin-Fu Li, EE, NCU 23
24 dvanced CMOS Logic Design Pass-Transistor Logic dvanced Reliable Systems (RES) Lab. Jin-Fu Li, EE, NCU 24
25 Pass-Transistor Logic Model for pass transistor logic Control signals P i Pass signals V i Product term (F) The product term F=P 1 V 1 +P 2 V 2 + +P n V n The pass variables can take the values {0,1,X i,- X i,z}, where X i and X i are the true and complement of the ith input variable and Z is the high-impedance dvanced Reliable Systems (RES) Lab. Jin-Fu Li, EE, NCU 25
26 Pass-Transistor Logics Different types of pass-transistor logics for two-input XNOR gate implementation -B B - OUT -B B - OUT B OUT Complementary Single-polarity Cross-coupled dvanced Reliable Systems (RES) Lab. Jin-Fu Li, EE, NCU 26
27 Full-Swing Pass-Transistor Logic Modifying NMOS pass-transistor logic so full-level swings are realized B Y dding the additional PMOS has another advantages It adds hysteresis to the inverter, which makes it less likely to have glitches dvanced Reliable Systems (RES) Lab. Jin-Fu Li, EE, NCU 27
28 Differential Logic Design Features of the differential logic design Logic inversions are trivially obtained by simply interchanging wires without incurring a time delay The load networks will often consist of two crosscoupled PMOS only. This minimizes both area and the number of series PMOS transistors Disadvantage Two wires must be used to represent every signal, the interconnect area can be significantly greater. In applications in which only a few close gates are being driven, this disadvantage is often not as significant as the advantages Thus differential logic circuits are often a preferable consideration dvanced Reliable Systems (RES) Lab. Jin-Fu Li, EE, NCU 28
29 Fully Differential Logic Circuit One simple and popular approach for realizing differential logic circuit is shown below The inputs to the drive network come in pairs, a singleended signal and its inverse The NMOS network can be divided into two separate networks, one between the inverting output and ground, and a complementary network between the noninverting output and ground V 1 V 1 V n V n V out Fully Differential NMOS Network V out + dvanced Reliable Systems (RES) Lab. Jin-Fu Li, EE, NCU 29
30 Examples Differential CMOS realizations of ND and OR functions B B +B +B B B B B dvanced Reliable Systems (RES) Lab. Jin-Fu Li, EE, NCU 30
31 Examples Differential CMOS realization of the function V out =(+B )C+ E V out V out C E E B B C dvanced Reliable Systems (RES) Lab. Jin-Fu Li, EE, NCU 31
32 Differential Split-Level Logic Differential split-level (DSL) logic variation of fully differential logic compromise between a cross-coupled load with no d.c. power dissipation and a continuously-on load with d.c. power dissipation V out - V out + V ref V ref V 1 V 1 V n V n V - V + Differential NMOS Network dvanced Reliable Systems (RES) Lab. Jin-Fu Li, EE, NCU 32
33 Differential Split-Level Logic Features of DSL logic The loads have some of the features of both continuous loads and cross-coupled load Both outputs begin to change immediately The loads do have d.c. power dissipation, but normally much less than pseudo-nmos gates and dynamic power dissipation The nodes V+, V-, and all internal nodes of the NMOS network have voltage changes between greater than 0V and V ref -V tn This reduced voltage swing increases the speed of the logic gates The maximum drain-source voltage across the NMOS transistors is reduced by about one-half This greatly minimizes the short-channel effects dvanced Reliable Systems (RES) Lab. Jin-Fu Li, EE, NCU 33
34 Differential Pass-Transistor Logic It is not necessary to wait until one side goes to low before the other side goes high Pass-transistor networks for most required logic functions exist in which both sides of the crosscoupled loads are driven simultaneously This minimizes the time from when the inputs changes to when the low-to-high transition occurs V 1 V 1 V n V n V out Pass-Transistor Network V out + dvanced Reliable Systems (RES) Lab. Jin-Fu Li, EE, NCU 34
35 Differential Pass-Transistor Logic Other features of pass-transistor logic It removes the ratio requirements on the logic and has guaranteed functionality The cross-coupled loads restore signal levels to full V dd levels, thereby eliminating the voltage drop Examples: B B +B +B B - B + B - B + dvanced Reliable Systems (RES) Lab. Jin-Fu Li, EE, NCU 35
36 Dynamic Differential Logic differential Domino logic gate CLK V out - V out + V 1 V 1 V n V n Differential NMOS Network CLK dvanced Reliable Systems (RES) Lab. Jin-Fu Li, EE, NCU 36
37 Dynamic Differential Logic Features of dynamic Domino logic Its d.c. power dissipation is very small, whereas its its speed still quite good Because of the buffers at the output, its output drive capability is also very good One of major limitations of Domino logic, the difficulty in realizing inverting functions, is eliminated because of the differential nature of the circuits dvanced Reliable Systems (RES) Lab. Jin-Fu Li, EE, NCU 37
38 Dynamic Differential Logic When the fan-out is small, the inverters at the output can be eliminated and the inputs to the charge-keeper transistors can be taken from the opposite output CLK V out - V out + V 1 V 1 V n V n Differential NMOS Network CLK dvanced Reliable Systems (RES) Lab. Jin-Fu Li, EE, NCU 38
39 Clocked CMOS (C 2 MOS) Structure of a C 2 MOS gate Ideally, clocks are non-overlapping CLK X CLK=0 CLK=1, f is valid CLK=0, the output is in a high-impedance state. During this time interval, the output voltage is held on C out PMOS CLK CLK Network NMOS Network C out + - f V out dvanced Reliable Systems (RES) Lab. Jin-Fu Li, EE, NCU 39
40 Examples of C 2 MOS Logic Gates B B CLK B CLK CLK +B C out CLK B B C out dvanced Reliable Systems (RES) Lab. Jin-Fu Li, EE, NCU 40
41 The Drawback of C 2 MOS Logic Gates The problem of charge leakage Cause that the output node cannot hold the charge on V out very long The basics of charge leakage are shown V(t) below i out CLK=1 CLK=0 i dv n i p i C C out out dt out i p dv dt V dd V 1 i n ssume i out is a constant I L i out C out + V out - dvanced Reliable Systems (RES) Lab. Jin-Fu Li, EE, NCU 41 V X 0 V ( t ) t I L dv dt V t V V ( ) Cout I L V ( th) V 1 th VX Cout Cout th ( V 1 V X ) I L t h t I C L out t
42 Types of pads V dd, V ss pad Input pad (ESD) Output pad (driver) I/O pad (ESD+driver) I/O Pads ll pads need guard ring for latch-up protection Core-limited pad & pad-limited pad Core-limited pad Pad-limited pad PD PD I/O circuitry I/O circuitry dvanced Reliable Systems (RES) Lab. Jin-Fu Li, EE, NCU 42
43 ESD Protection Input pad without electrostatic discharge (ESD) protection PD ssume I=10u, C g =0.03pF, and t=1us The voltage that appears on the gate is about 330volts Input pad with ESD protection PD dvanced Reliable Systems (RES) Lab. Jin-Fu Li, EE, NCU 43
44 Tristate & Bidirectional Pads Tristate pad output-enable OE P OE D N P OUT data D N OUT PD X Z 0 1 Bidirectional pad PD dvanced Reliable Systems (RES) Lab. Jin-Fu Li, EE, NCU 44
45 Schmitt Trigger Circuit Voltage transfer curve of Schmitt circuit V DD V out V T- V T+ V DD V in Hysteresis voltage V H =V T+ -V T- When the input is rising, it switches when V in =V T+ When the input is falling, it switches when V in =V T- dvanced Reliable Systems (RES) Lab. Jin-Fu Li, EE, NCU 45
46 Schmitt Trigger Circuit Voltage waveform for slow input V out V DD V in V T+ V T- Time Schmitt trigger turns a signal with a very slow transition into a signal with a sharp transition dvanced Reliable Systems (RES) Lab. Jin-Fu Li, EE, NCU 46
47 Schmitt Trigger Circuit CMOS version of the Schmitt trigger circuit V DD P 1 P 2 V FP P 3 V in V out N 2 V FN N 1 N 3 When the input is rising, the V GS of the transistor N 2 is given by VGS2 Vin VFN When V in V T, N 2 enters in conduction mode which means VGS2 V Tn Then V V V FN T Tn dvanced Reliable Systems (RES) Lab. Jin-Fu Li, EE, NCU 47
48 Summary The following topics have been introduced in this chapter CMOS Logic Gate Design dvanced CMOS Logic Design Clocking Strategies I/O Structures dvanced Reliable Systems (RES) Lab. Jin-Fu Li, EE, NCU 48
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