Module 1 Ref 1: LOW-VOLTAGE, LOW-POWER VLSI SUBSYTEMS- KIAT-SENG YEO, KAUSHIK ROY Ref 2 : LOW-POWER CMOS VLSI CIRCUIT DESIGN, KAUSHIK ROY, SHARAT C. PRASAD Ref 3: Low-Voltage CMOS VLSI Circuits- James V Kuo, Jea-Hong Lou
Need for low power circuit design, MIS Structure, Short channel effects-surface scattering, punch through, velocity saturation, impact ionization - Hot electron effects- Drain Induced Barrier Lowering- Deep submicron transistor design issues. syllabus
Practical reasons: reduce power requirement of high through- put , potable application Financial reasons:- reduce packaging cost Technological reasons:- heating prevents higher-density chips and limits functionality Environmental reasons:- green computers Need for low power circuit design
Advantages of MOSFET Ease of fabrication Good noise margin Robust Lower switching activity Good I/O coupling Availability of matured synthesis tools
MIS structure When the insulator is an oxide layer (typically thermal oxide ) then this becomes a MOS structure MOS MIS O- oxide I- insulator The semiconductor can be of p or n type Ref.2
IN UNBIASED (V=0) Flat band is the condition where the energy band (Ec and Ev) of the substrate is flat at the Si–SiO 2 interface
V=NEGATIVE Accumulation
When V =small positive Depletion mode Band diagram under depletion mode
When V is more positive Strong inversion Band diagram under strong inversion
Short channel effects The main drives for reducing the size of the transistors, i.e., their lengths, is increasing speed and reducing cost When you make circuits smaller, their capacitance reduces, thereby increasing operating speed Short channel effects Ref.1
surface scattering punch through Velocity saturation impact ionization Hot electron effects drain induced barrier lowering narrow width effects Short channel effects
surface scattering The velocity of the charge carriers is defined by the mobility of that carrier times the electric field along the channel v d =με When the carriers travel along the channel, they are attracted to the surface by the electric field created by the gate voltage As a result, they keep crashing and bouncing against the surface, during their travel, following a zig-zagging path This effectively reduces the surface mobility of the carriers, in comparison with their bulk mobility The change in carrier mobility impacts the current-voltage relationship of the transistor
As the electron travels through the channel, it is attracted to the Si−SiO2 interface and bounces against it. This effect reduces its mobility.
As the length of the channel becomes shorter, the lateral electric field created by V DS becomes stronger. To compensate that, the vertical electric field created by the gate voltage needs to increase proportionally, which can be achieved by reducing the oxide thickness. As a side effect, surface scattering becomes heavier, reducing the effective mobility in comparison with longer channel technology nodes
punch through The punch through mechanism is described as reverse bias applied to drain , which results into extended depletion region. The two depletion regions of drain and source therefore are intersection with each other, and this results into "one" depletion region, and flow of leakage current and consequently breakdown of MOSFET The field underneath the gate then becomes strongly dependent on the drain-source voltage , as is the drain current. Punch through causes a rapidly increasing current with increasing drain-source voltage. This effect is undesirable as it increases the output conductance and limits the maximum operating voltage of the devi ce
Velocity saturation The velocity of charge carriers, such as electrons or holes, is proportional to the electric field that drives them, but that is only valid for small fields. As the field gets stronger, their velocity tends to saturate. That means that above a critical electric field, they tend to stabilize their speed and eventually cannot move faster. Velocity saturation is specially seen in short-channel MOSFET transistors, because they have higher electric fields.
As a first-order approximation, the carrier velocity is defined as where μ is the carrier mobility, E is the electric field and Ec is the critical electric field (the point at which the velocity tends to saturate). The velocity saturates when E≫E c and it becomes V d = μ E c =v sat (when E ≪ E c , v d =μ E as expected).
Impact ionization Short-channel transistors create strong lateral electric fields, since the distance between source and drain is very small. This electric field endows the charge carriers with high velocity, and therefore, high energy. The carriers that have high enough energy to cause troubles are called "hot" carriers Since they are traveling through a Silicon lattice, there is a possibility that they collide with an atom of the structure. Given enough energy, the energy passed to the atom upon collision can knock out an electron out of the valence band to the conduction band. This originates an electron-hole pair: the hole is attracted to the bulk while the generated electron moves on to the drain. The substrate current is a good way to measure the impact ionization effect.
The generation of electron-hole pairs is very aggressive, two catastrophic effects can happen The parasitic bipolar transistor that is formed by the junctions between source-bulk-drain. This transistor is normally turned off because the bulk is biased at the lowest voltage of the circuit. However, when holes are flowing through the bulk, they are causing a voltage drop at the parasitic resistance of the bulk itself. This, in turn, can active the BJT if the base-emitter (bulk-source) voltage exceeds 0.6-0.7 V. With the transistor on, electrons start flowing from the source to the bulk and drain, which can lead to even more generation of electron-hole pairs First effects
The most catastrophic case happens when the newly generated electrons become themselves hot carriers and knock out other atoms of the lattice. This in turn can create an avalanche effect, eventually leading to an overrun current that the gate voltage cannot control.
Hot Carrier Injection (HCI) The hot carrier accelerated by the high electric field can have a different rate as well. The energy it contains may be sufficient to enter the oxide and get trapped in it. The trapped electrons alter the transistor response to the gate voltage in the form of increased threshold voltage. Over time, the accumulation of electrons in the oxide causes the so called "ageing" of transistors To reduce the formation of "hot" carriers and their negative effects, the electric field is artificially weakened with the implantation of lightly-doped drains, beside the heavily-doped drains
A "hot" electron manages to enter the oxide and gets trapped in it.
Drain induced barrier lowering Any increase in drain voltage beyond it requires to establish punch through lowers the potential barrier for the majority carriers in the source Large no. of carriers thus come to have enough energy to cross over and enter the substrate Some of them was collected by drain The net effect is the increases of sub threshold current
Sources of power dissipation in CMOS-Dynamic Power Dissipation: Charging and Discharging capacitance power dissipation , Short Circuit Power: Short Circuit Current of Inverter , Short circuit current dependency with input and output load , Glitching Power, Static Power Dissipation, Leakage Power Dissipation, Gate level power analysis : Capacitive, internal and Static power dissipation of gate level circuit. Module 2 https://youtu.be/TFOO1JAll2Y
Power dissipation :A critical problems ? To make the vision of the inexpensive and portable multimedia terminal a reality To reduce cost and volume of the cooling subsystems
Need to estimate power dissipation Power dissipation affects Performance Reliability Packaging Cost Portability
Power Efficiency is important for Miniaturization and performance
.
MOSFET--Sources of power dissipation (dynamic + static) Switching power dissipation Logic transition------ parasitic capacitance charging and discharging Glitching power dissipation Short Circuit current Static power dissipation--leakage current dissipation--- As the supply voltage scales down---------V th Reduces dynamic power Static power Dynamic power dissipation
* The repeated charging and discharging of the output capacitance is necessary to transmit information in CMOS circuits. * This charging and discharging causes for the switched power dissipation .
Switching Power dissipation CMOS inverter V in =0 V in =1
Instantaneous power dissipation i=Q/t Energy delivered to capacitor
The power dissipated can be reduced by reducing either the clock frequency , or the load capacitanc e, or the rail voltage . Reducing the clock frequency is the easie st thing to do, but it seriously affects the performance of the chip To lower the load capacitance, conscientious system design needed Power dissipation can also be reduced by reducing the rail voltage. But this can be done only through device technology.
Paulo Moreira Inverter 40 The dynamic power dissipation is a function of: Frequency Capacitive loading Voltage swing To reduce dynamic power dissipation Reduce: C L Reduce: f Reduce: V dd ⇐ The most effective action
Glitch Power Dissipation Glitches are temporary changes in the value of the output – unnecessary transitions They are caused due to the skew in the input signals to a gate Glitch power dissipation accounts for 15% – 20 % of the global power Glitches are dependent on signal transitions and more glitches results in higher power dissipation Basic contributes of hazards to power dissipation are Hazard generation Hazard propagation P = 1/2 .C L .V dd . (V dd – V min ) ; V min : min voltage swing at the output Glitch power dissipation is dependent on Output load, Input pattern, Input slope glitch is an unwanted pulse that may occur in a circuit with a hazard .
Hazard generation can be reduced by gate sizing and path balancing techniques Hazard propagation can be reduced by using less number of inverters which tend to amplify and propagate glitches
Glitch Power Dissipation
Short Circuit Power Dissipation Short circuit current occurs during signal transitions when both the NMOS and PMOS are ON and there is a direct path between V dd and GND Also called crowbar current Accounts for more than 20% of total power dissipation As clock frequency increases transitions increase consequently short circuit power dissipation increases Can be reduced : faster input and slower output V dd <= V tn + |V tp | So both NMOS and PMOS are not on at the same time
Short Circuit Power Consumption in a inverter Finite slope of the input signal causes a direct current path between V DD and GND for a short period of time during switching when both the NMOS and PMOS transistors are conducting . Vin Vout C L I sc
Short Circuit current without load
Input voltage and short-circuit current model
Ref Low-Power CMOS VLSI circuit design –Kaushik Roy . Assume input is ramp( linearly raising) Since Vin(t)= V DD /2 nmos is in saturation
Substitute
Peak current determined by MOSFET saturation current, so directly proportional to device sizes Peak current also strong function of ratio between input and output slopes For individual gate, minimize short circuit current by making output rise/fall time much bigger than input rise/fall time – Slows down circuit
shows that this dissipation component is also proportional to the frequency of switching, Because VDD and VT are process-determined, the only design parameters that affect Power are 1. the input rise and fall times of the inverter. 2. Beta
CMOS with capacitive load
Short-circuit current as a function of different inverter load capacitances The figure shows the short-circuit current behavior, during a time interval t1 – t3, as a function of the load capacitance CL, for input rise and fall times of 5 ns.
Curve(1) shows the behavior of the inverter without load. At any time this current is the maximum short-circuit current that can occur. This means that all other current characteristics for different load capacitances must be within this curve. Curve (4) shows the short-circuit current behavior of the inverter when it is loaded with a characteristic capacitance CL of 500 fF. In this case the rise and fall times on the output node are equal to the rise and fall times on the input.
Inverter output voltage behavior for different inverter load capacitances
Inverter dissipation as a function of the inverter load capacitance
The dashed line shows the dynamic dissipation (~= 10 MHz), while the solid lines show the actual inverter dissipation (dynamic plus short-circuit dissipation). T From these characteristics we can conclude that if the operation of the inverter is such that the o utput signal and input signal have equal rise and fall times , the s hort-circuit dissipation will be only a fraction ( <20 percent) of the total dissipation . However, if the inverter is more lightly loaded, causing output rise and fall times that are relatively short as compared to the input rise and fall times, then the short-circuit dissipation will increase to the same order of magnitude as the dynamic dissipation. Therefore, to minimize dissipation, an inverter used as part of a buffer should be designed in such a way that the input rise and fall times are less than or about equal to the output rise and fall times in order to guarantee a relatively small short-circuit dissipation.
Static power dissipation Consider the complementary CMOS gate where I leakage is the leakage current that flows between V DD and ground in the absence of switching activity. The leakage current of the CMOS inverter is equal to zero in ideal case, since the pMOS and nMOS devices never ON simultaneously in steady state operation. But the leakage current is flowing through the reverse biased diode junctions of the transistors located between sources or drain and substrate. This contribution of current is very small and can be neglected.
TOTAL POWER DISSIPATION
Why Leakage Power Reduction?
Why Leakage Power Reduction? Dynamic Power Dissipation is given By Static Power Dissipation is given by(Leakage power dissipation ) In fig It is shows V th has to decrease in order to get high performance When Vth <0.1v ,leakage power Domination
Component --SOURCES OF LEAKAGE POWER 1. p-n junction reverse bias current 2. weak inversion 3. Gate oxide leakage 4. Gate current due to hot carrier 5. GIDL 6. Channel current punch through Transistor leakage mechanisms of deep submicron transistors
I 1 is the reverse bias pn junction leakage; I 2 is the subthreshold leakage; I 3 is the oxide tunneling current; I 4 is the gate current due to hot carrier injection I 5 is the Gate Induced Drain Leakage (GIDL) I 6 is the channel punch through current. Currents I 2 ,I 5 , I 6 are off-state leakage mechanisms while I1 and I3 occur in both ON and OFF states. I 4 can occur in the off-state, but more typically occurs during the transistor bias states in transition
PN Junction Reverse Bias Current (I1) Drain and source to well junctions are typically reverse biased causing pn junction leakage current A reverse bias pn junction leakage (I1) has two main components: 1. minority carrier diffusion/drift near the ed ge of the depletion region 2. is due to electron hole pair generation in the depletion region of the reverse biased junction Function of : Junction area, doping concentration , strongly depends on temperature
Sub threshold Leakage (I 2 ) When gate voltage is below V th The weak inversion current is given by m- sub threshold swing coeiffient Ref 1: LOW-VOLTAGE, LOW-POWER VLSI SUBSYTEMS- KIAT-SENG YEO, KAUSHIK ROY
Sub threshold current is dominated by minority carriers
Sub threshold leakage in an NMOS
The inverse of the slope of the log 10 (I ds ) versus V gs characteristic called the sub threshold slope
Tunneling in to and through gate oxide Gate oxide tunneling current ----- As Tox Eox electron tunneling from substrate to gate from gate to substrate I 3
Tunneling into and through gate oxide Electron tunneling through the MOS capacitor a. Energy band at flatland condition b. Energy band at positive gate showing tunneling of electron from substrate to gate. c. Energy band diagram at negative bias showing tunneling of electron from gate to substrate
Gate oxide tunneling current Fowler-Nordheim tunneling Direct tunneling (F-N tunneling )
Fowler-Nordheim tunneling e tunnels through a triangular potential barrier conduction band of oxide layer Valid V ox > φ ox V ox - oxide voltage drop For short channel V ox < φ ox Thus negligible
F-N tunneling
Direct tunneling e tunnels through the trapezoidal potential barrier tox is less than 3 to 4 nm Tunnels through forbidden energy gap of sio 2
Direct tunneling Current density in direct tunneling is
Φs -surface barrier
Mechanisms of direct tunneling NMOS ECB EVB ECB-electron conduction band EVB-electron valance band 1.Gate to channel current in inversion 2.Gate to body tunneling in accumulation Gate to body tunneling in depletion-inversion
Three mechanism of gate leakage
Component of gate tunneling current Igso and Igdo –parasitic leakage current(due to overlap ) Igb-substrate leakage current Igc-inverted channel current
(I 4 )-Injection of hot carrier As feature size decreases , Electric field in channel region increases which leads to gain high kinetic energy by holes & electron (Hot carrier) E or holes can gain sufficient energy to cross the interface potential barrier and enter in to oxide field The energy of the hot carriers depends mainly on the electric field in the pinch-off region Hot-carrier injection is one of the mechanisms that adversely affects the reliability of semiconductors of solid-state devices
Different type of Hot carrier Injection Drain Avalanche Hot carrier (DAHC) Injection Channel Hot Electron (CHE) Injection Substrate Hot Electron (SHE) Injection Secondary generated hot electron (SGHE) injection
Drain Avalanche Hot carrier (DAHC) Injection When VD>VG , the acceleration of channel carrier causes Impact Ionization . The generated electron –holes pair gain energy to break the barrier in Si-SiO2 interface
Channel Hot Electron (CHE) Injection When both VG & VD very higher than source voltage , some electrons driven towards gate oxide .
Substrate Hot Electron (SHE) Injection Occurs when the substrate back bias is very positive or very negative Carriers of one type in the substrate are driven by the substrate field toward the Si-SiO2 interface. Gain high kinetic energy from and injected to SiO2.
GIDL due to high field in the drain junction Accumulation ------------Si surface has the same potential as the p-substrate surface with more heavily doped than substrate surface depletion layer is more narrower Field crowding effects Field near drain increased 1. I 5
When Vgs is Vds-=VDD & Field crowding effects 2. Result-minority carriers get emitted in the drain region underneath the gate Swept to the substrate
I 6 -punch through In SCE if the doping is constant ,the separation between depletion region of drain and source decreases With increase in VDS ,causes the boundaries nearer to each other Thus depletion region merge each other
Punch Through Electrons can flow from source to drain (no more back to back junctions) (n-channel enhancement mode) I D α V D 2 Drain current no longer controlled by gate Tr ansistors won’t “turn off”
In long channel devices, the sub threshold current is independent of the drain voltage for VDS larger than few v T The threshold voltage and consequently the sub threshold current of short channel devices vary with the drain bias DIBL Occurs at higher drain ,lower Leff DIBL
A .long channel mosfets b. Short channel mosfets c. Short channel with high drain bias
Gate level power analysis : Capacitive, internal and Static power dissipation of gate level circuit Most efforts to controlling power dissipation of digital circuits to be focused on hardware design hardware is the physical means by which power is converted into useful computation It would be unwise to ignore the influence of software on power dissipation Circuit simulators such as SPICE attain excellent accuracy but cannot be applied to full chip analysis. Software power dissipation
T he designer start with a simulation at the hardware behavior level to obtai n an initial power dissipation estimate When the gate gate-level design is available, a gate level simulation is performed to refine the initial estimate If the initial e stimate turns out to be inaccura te and the design fails the specification , the d esign is modified and verified aga in The iteration continue s until the gate level estimate is within specification The design is then taken to the transistor or circuit level analysis to further verify the g ate level estimates The refinement and verification steps continue until the completion of the design process, when the chip is suitable for mass production
Gate-level Logic Simulation Simulation based gate level timing analysis has been a very mature technique in today’s VLSI design component abstraction at this level is logic gates and nets Today, many gate-level logic simulators are available, most of which can perform full-chip simulation up to several million gates
The most popular gate-level analysis is based on the so called event-driven logic simulation. Events are zero-one logic switching of nets in a circuit at a particular simulation time point
Capacitive Power Dissipation The basic principle of Gate level power analysis tools is to perform a logic simulation of the gate level circuit to obtain the switching activity information The information is then used to derive the power dissipation of the circuit The capacitive power dissipation of the circuit is 𝑃𝑐𝑎𝑝 = ∑ 𝐶𝑖𝑉 2 𝑛𝑒𝑡 𝑖 𝑓𝑖 .
Internal Switching Energy The dynamic power dissipation inside the logic cell is called the internal power, which consists of short circuit power and charging or discharging of internal nodes
Static State Power The leakage power is primarily determined by the sub threshold and reverse biased leakage of MOS transistors
Power Reduction Techniques :Supply voltage Scaling Approaches: Multi VDD and Dynamic VDD, leakage power reduction Techniques – Transistor stacking, VTCMOS,MTCMOS, DTCMOS, Power gating, Clock gating for Dynamic power dissipation, Transistor and Gate Sizing for Dynamic and Leakage Power Reduction. Module 3 Ref. 1. James B. Kuo, Jea-Hong Lou, Low-Voltage CMOS VLSI Circuits-Wiley-Interscience (1999) Ref 2: LOW-VOLTAGE, LOW-POWER VLSI SUBSYTEMS- KIAT-SENG YEO, KAUSHIK ROY Ref3 . low-power cmos vlsi circuit design- KAUSHIK ROY
Supply Voltage Reduction Strategy lowering supply voltage offers many tradeoffs Depending on applications, there are two strategies in the reduction of supply voltage— high performance and low power approaches high-performance approach , lowering supply voltage is targeted to raise system reliability—the electromigration reliability, the hot-carrier reliability, the oxide stress reliability, and other reliabilities related to high electric field and temperature.
high- performance approach , power supply voltage is not scaled down aggressively, Instead, under the scaled supply voltage, circuit performance is optimized l ow-power approach , it is for mobile systems, which emphasize lengthening battery life The d egraded performance of the circuits at a reduced supply voltage can be c ompensated by using advanced technology can also be made up by adopting system p arallelism and pipelining
When gate length is shrunk , t hreshold voltage cannot be scaled down accordingly due to subthreshold leakage c onsideration At a reduced supply voltage , downscaling of devices may lead to degradation of the device performance In the industry, a relationship between minimum supply voltage and minimum threshold voltage has been found minimum supply voltage is set to about t hree times the minimum threshold voltage
the minimum supply voltage can be determined by the minimum threshold voltage voltage. The minimum threshold voltage is determined by three factors: t hreshold voltage variation due to process fluctuation , (2) threshold voltage variation due to temperature effect , and (3) on-off current ratio of the device.
Why Leakage Power Reduction? Dynamic Power Dissipation is given By Static Power Dissipation is given by(Leakage power dissipation ) In fig It is shows V th has to decrease in order to get high performance When V th < 0.1v ,leakage power Domination For low voltage, supply voltage reduce, so as to V th also
Techniques to reduce Leakage Power Transistor Stack (Self reverse bias ) Multiple V th Techniques Dynamic V th Technique Supply Voltage Scaling Technique Leakage reduction techniques for cache(SRAM) Ref 1: LOW-VOLTAGE, LOW-POWER VLSI SUBSYTEMS- KIAT-SENG YEO, KAUSHIK ROY
1.Transistor Stack (Self reverse bias ) Stacking Effect- Sub threshold leakage current flowing through a stack of series connected transistors reduces when more than one transistor of the stack is turned off. Consider a two input NAND gate
The leakage of a two-transistor stack is an order of magnitude less than the leakage in a single transistor Due to Stacking effect -------------- subthreshlod current depends on ---------input vector Due to the positive source potential VM, gate to source voltage (V GS1 ) of transistor M1 becomes negative; hence, the sub-threshold current reduces substantially. Due to V M > 0, body to source potential (V BS1 ) of transistor M1 becomes negative, which results in an increase in the threshold voltage (larger body effect) of M1, and thus reducing the sub-threshold leakage. Due to V M > 0, the drain to source potential (V DS1 ) of transistor M1 decreases, which results in an increase in the threshold voltage (less DIBL) of M1, and thus reducing the sub-threshold leakage.
2.Multiple Vth Technique both high and low V th transistors with in a single chip high V th Suppress the sub threshold leakage current low V th High performance
s It can achieved by 1.Multiple Channel doping 2.Mutilple oxide CMOS (MOXCMOS) 3.Mutiple Channel Length 4.Multiple body bias 5. Multithreshold –voltage CMOS (MTCMOS) 6.Dual threshold CMOS 7. Variable Threshold CMOS(VTMOS) 8. Dynamic Threshold CMOS (DTMOS)double gate 9. Double gate Dynamic threshold SOI CMOS (DGDT-MOS)
Multi threshold –voltage CMOS(MTCMOS) Inserting high threshold devices in series into low V th circuitry
Variable Threshold CMOS(VTMOS) To achieve different threshold voltages , a self –substrate bias circuit is used to control body bias active mode-no body bias Stand-by mode –deeper reverse bias is applied Variable threshold CMOS
Dynamic Threshold CMOS (DTMOS)double gate Achieved by tying the gate and body together . DTMOS inverter High V th ----standby mode –low leakage current Low V th--- higher current –active mode Suitable for ultra –low voltage circuits(0.6v or below)
Stronger advantage of DTMOS can be seen in partially depleted SOI devices
9. Double gate Dynamic threshold SOI CMOS (DGDT-MOS Advantages of -------DTMOS+ double gate fully depleted SOI MOSFETs DGDT SOI MOSFET structure Back gate oxide is thick
Dynamic V th technique It utilizes dynamic adjustment of frequency through back-gate bias control depending on the workload of a system 1.V th –Hopping Scheme 2.Dyamnic V th Scaling Scheme(DVTS)
1.V th –Hopping Scheme Cont
2.Dynamic V th Scaling Scheme(DVTS)
4.Supply Voltage scaling Technique Two types 1. Static supply scaling 2.Dynamic supply scaling 1. Static supply scaling
2.Dynamic supply scaling (DVS) Architecture Three key element 1.Opertaing system 2.Regulation Loop 3.Microprocessor