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EE-382M VLSI–II

Circuits Design for Low Power Kevin Nowka, IBM Austin Research Laboratory

EE382M VLSI-II Class Notes

Foil # 1

The University of Texas at Austin

Agenda Overview of VLSI power Technology, Scaling, and Power Review of scaling A look at the real trends and projections for the future Active power – components, trends, managing, estimating Static power – components, trends, managing, estimating Summary

EE382M VLSI-II Class Notes

Foil # 2

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A quick look at the power consumption of a modern Laptop (IBM R40)

Power is all about the (digital) VLSI circuits…..and the backlight! 100% 90% 80% 70% 60% 50% 40% 30% 20% 10% 0%

Other LCD+BckLt Wireless Mem Graphics NB/SB; misc CPU CPU Workload 26W

FTP Tx 17W

3D Games 30W

Src: Mahesri et al., U of Illinois, 2004 EE382M VLSI-II Class Notes

Foil # 3

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A quick look at the power consumption of a Server Again, it’s a VLSI problem – but this time with analog!

cpu mem

pwr i/o

Source Bose, Hot Chips 2005,

EE382M VLSI-II Class Notes

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Designing within limits: power & energy •

-

-

Thermal limits (for most parts self-heating is a substantial thermal issue) -

package cost (4-5W limit for cheap plastic package, 50-100W/sq-cm air cooled limit, 5k-7.5kW 19” rack)

-

Device reliability (junction temp > 125C quickly reduces reliability)

-

Performance (25C -> 105C loss of 30% of performance)

Distribution limits -

Substantial portion of wiring resource, area for power dist.

-

Higher current => lower R, greater dI/dt => more wire, decap

-

Package capable of low impedance distribution

Energy capacity limits - AA battery ~1000mA.hr => limits power, function, or lifetime

-

Energy cost - Energy for IT equipment large fraction of total cost of ownership

EE382M VLSI-II Class Notes

Foil # 5

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Agenda Overview of VLSI power Technology, Scaling, and Power Review of scaling A look at the real trends and projections for the future Active power – components, trends, managing, estimating Static power – components, trends, managing, estimating Summary

EE382M VLSI-II Class Notes

Foil # 6

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CMOS circuit power consumption components P = ½ CswVdd ∆V f + IstVdd + IstaticVdd •

Dynamic power consumption ( ½ CswVdd ∆V f + IstVdd) – Load switching (including parasitic & interconnect) – Glitching – Shoot through power (IstVdd)



Static power consumption (IstaticVdd) – Current sources – bias currents – Current dependent logic -- NMOS, pseudo-NMOS, CML – Junction currents – Subthreshold MOS currents – Gate tunneling

EE382M VLSI-II Class Notes

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Review of Constant Field Scaling Transistor Gate Transistor Source

Transistor Drain ElectronFlow

STI n+

p

n+ STI

Conventional SiliconSubstrate All Features ReduceinWidthand Thickness Shorter Distancefor ElectronFlow ProduceFaster Transistors

STI n+

ElectronFlow

p

n+ STI

Scale factor α<1

EE382M VLSI-II Class Notes

Transistor Isolation

Parameter

Value

Scaled Value

Dimensions

L, W, Tox

αL, α W, α Tox

Dopant concentrations

Na, Nd

Na/α, Nd/α

Voltage

V

αV

Field

Ε

Ε

Capacitance

C

αC

Current

I

αI

Propagation time (~CV/I)

t

αt

Power (VI)

P

α2P

Density

d

d/α2

Power density

P/A

P/A

Foil # 8

These are distributions… how do the σ s scale?

The University of Texas at Austin

Agenda Overview of VLSI power Technology, Scaling, and Power Review of scaling A look at the real trends and projections for the future Active power – components, trends, managing, estimating Static power – components, trends, managing, estimating Summary

EE382M VLSI-II Class Notes

Foil # 9

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CMOS Circuit Delay and Frequency P = ½ C V ∆V f + I Vdd + I Vdd sw

dd

st

static

VLSI system frequency determined by: Sum of propagation delays across gates in “critical path” -Each gate delay, includes time to charge/discharge load thru one or more FETs and interconnect delay to distribute the signal to next gate input.

Td = kCV/I = kCV/(Vdd-Vt)α Sakuri α-power law model of delay

EE382M VLSI-II Class Notes

Foil # 10

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Gate Delay Trends P = ½ C V ∆V f + I Vdd + I sw

dd

st

static

Vdd

Consistent with C.F. Scaling

Each technology generation, gate delay reduced about 30% (src: ITRS ’05) EE382M VLSI-II Class Notes

Td = kCV/I = kCV/(Vdd-Vt)α Foil # 11

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Microprocessor Frequency P = ½ C V ∆V f + I Vdd + I Vdd sw

dd

st

static

In practice the trend is: Frequency increasing by 2X (delay decreasing by 50%), not the 1.4X (30%) for constant field scaling for 1um to 65nm node (src: ITRS ’01). Why? decreasing logic/stage and increased pipeline depth.

* Below 65nm node return to 1.4X/generation [ITRS’05] Why?

Intel 32b (after Hrishikesh, et. al) 35 90

30

80

25

60

20

50 40

15

30

10

20

period (ns)

Fo4/cy cle

70

cycle in FO4 Period

5

10 0 0

0.1

EE382M VLSI-II Class Notes

0.2

0.3

0.4

0.5

0.6

0.7 0.8 technologyFoil # 12

0.9

1

0 1.1 The University of Texas at Austin

Dynamic Energy ∞



t =0

0

EVdd = ∫ iVdd (t )Vdddt = Vdd ∫ CL

dVout dt dt

Vdd

EVdd = C LVdd

2 dV = C LVdd out ∫

iVdd Vout

Vout = 0



CL



dV Ec = ∫ iCL (t )Vout dt = ∫ C L out Vout dt dt t =0 0 Vdd

Ec = C L

1 2 V dV = C V out out L dd ∫ 2 Vout = 0

Energy dissipated for either output transition consumes: ½ CL Vdd2

P = ½ CswVdd ∆V f +

IstVdd + IstaticVdd

Gate level energy consumption should improve as α 3 under constant field scaling, but…. EE382M VLSI-II Class Notes

Foil # 13

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Supply Voltage Trend P = ½ C Vdd ∆V f + I Vdd + I sw

st

Vdd

static

2.5

Vdd (Volts)

2 1.5 1 0.5 0

0.25m

0.18m

0.13m

90nm

65nm

45nm

Slow decline to 0.7V in 22nm (some think nothing below 0.9V for HP uProcs)

With each generation, voltage has decreased 0.85x, not 0.7x for constant field. Thus, energy/device is decreasing by 50% rather than 65%

EE382M VLSI-II Class Notes

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Active Power Trend P = ½ CswVdd ∆V f + I Vdd + st

IstaticVdd

Expected HP MP power 300

ITRS’01

Power (W)

250

200

ITRS’05 198 Watts forever!

150

100 160

140

120

100

80

60

40

20

Technology

But, number of transistors has been increasing, thus - a net increase in energy consumption, - with freq 2x, active power is increasing by 50% (src: ITRS ’01-’05)

EE382M VLSI-II Class Notes

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Recent (180nm – 65nm) “Real Scaling”

EE382M VLSI-II Class Notes

Parameter

Value

Scaled Value

Dimensions

L, W, Tox

0.7 L, 0.7 W, 0 .7 Tox

Dopant concentrations

Na, Nd

1.4 Na, 1.4 Nd

Voltage

V

0.7 V

0.9 V

Performance

F

1.4 F

2.0 F

Power/device

P

0.5 P

1.0 P

Power/chip

P

1P

1.5 P

Power density

P/A

P/A

2.0 P/A

Foil # 16

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Future (65nm – 22nm) “Projected Scaling”

EE382M VLSI-II Class Notes

Parameter

Value

Scaled Value

Dimensions

L, W, Tox

0.7 L, 0.7 W, 0 .7 Tox

Dopant concentrations

Na, Nd

1.4 Na, 1.4 Nd

Voltage

V

0.7 V

Performance

F

1.4 F

Power/device

P

0.5 P

0.8 P

Power/chip

P

1P

1.2 P

Power density

P/A

P/A

1.2 P/A

Foil # 17

0.9 V

198 Watts forever!? How?

The University of Texas at Austin

Active-Power Reduction Techniques P = ½ CswVdd ∆V f + IstVdd + IstaticVdd Active power can be reduced through: − Capacitance minimization − Power/Performance in sizing − Clock-gating − Glitch suppression − Hardware-accelerators − System-on-a-chip integration

− Voltage minimization − (Dynamic) voltage-scaling − Low swing signaling − SOC/Accelerators

− Frequency minimization − (Dynamic) frequency-scaling − SOC/Accelerators

EE382M VLSI-II Class Notes

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Capacitance minimization P = ½ CswVdd ∆V f + IstVdd + IstaticVdd Only the devices (device width) used in the design consume active power! − Runs counter to the complexity-for-IPC trend − Runs counter to the SOC trend

EE382M VLSI-II Class Notes

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Capacitance minimization Example of managing design capacitance: Device sizing for power efficiency is significantly different than sizing for performance – eg. sizing of the gate size multiplier in an exponential-horn of inverters for driving large loads.

Metric

100

Energy.Delay^2

10 Energy.Delay

Delay Energy

1 0

2

4

6

8

10

Multiplier k EE382M VLSI-II Class Notes

Foil # 20

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Functional Clock Gating P = ½ CswVdd ∆V f + IstVdd + IstaticVdd •

25-50% of power consumption due to driving latches (Bose, Martinozi, Brooks 2001 50%)



Utilization of most latches is low (~10-35%)



Gate off unused latches and associated logic: – Unit level clock gating – turn off clocks to FPU, MMX, Shifter, L/S unit, … at clk buffer or splitter – Functional clock gating – turn off clocks to individual latch banks – forwarding latch, shift-amount register, overflow logic & latches, …qualify (AND) clock to latch



Asynch is the most aggressive gating – but is it efficient?

EE382M VLSI-II Class Notes

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Glitch suppression P = ½ CswVdd ∆V f + IstVdd + IstaticVdd •

Glitches can represent a sizeable portion of active power, (up to 30% for some circuits in some studies)



Three basic mechanisms for avoidance: – Use non-glitching logic, e.g. domino – Add redundant logic to avoid glitching hazards • Increases cap, testability problems

– Adjust delays in the design to avoid • Shouldn’t timing tools do this already if it is possible?

EE382M VLSI-II Class Notes

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Voltage minimization P = ½ CswVdd ∆V f + IstVdd + IstaticVdd •

Lowering voltage swing, ∆V, lowers power – Low swing logic efforts have not been very successful (unless you consider array voltage sensing) – Low swing busses have been quite successful



Lowering supply, Vdd and ∆V, (voltage scaling) is most promising: – Frequency ~V, Power ~V3

EE382M VLSI-II Class Notes

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Voltage Scaling Reduces Active Power •

Voltage Scaling Benefits − Can be used widely over entire chip



Avg Relative Ring Osc Delay/Power

− Complementary CMOS scales well 5 over a wide voltage range => Can 4.5 optimize power/performance 4 (MIPS/mW) over a wide range 3.5 Voltage Scaling Challenges 3 − Custom CPUs, Analog, PLLs, and 2.5 2 I/O drivers don’t voltage scale easily 1.5 1 − Sensitivity to supply voltage 0.5 varies circuit to circuit – esp SRAM, buffers, NAND4 0 − Thresholds tend to be too high at low supply

1.2 1 0.8

a-pwr delay

0.6

meas delay

0.4

meas pwr

model pwr

0.2 0 0.7

0.95

1.2

1.45

1.7

Supply Voltage

After Carpenter, Microprocessor forum, ‘01

EE382M VLSI-II Class Notes

Foil # 24

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Dynamic Voltage-Scaling (e.g. XScale, PPC405LP) PowerPC 405LP measurements: 18:1 power range over 4:1 frequency range

400

500

Measured Freq Measured Power

400

300

300

200

200

100

100

0

1

1.2

1.4

1.6

1.8

2

0

Power (mW)

Frequency (MHz)

500

After Nowka, et.al. ISSCC, Feb ‘02

Supply Voltage (V) EE382M VLSI-II Class Notes

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Frequency minimization P = ½ CswVdd ∆V f + IstVdd + IstaticVdd •

Lowering frequency lowers power linearly – DOES NOT improve energy efficiency, just slows down energy consumption – Important for avoiding thermal problems

EE382M VLSI-II Class Notes

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Voltage-Frequency-Scaling Measurements PowerPC 405LP

Freq Scaling Plus DVS

Freq scale ¼ freq, ¼ pwr; DVS ¼ freq, 1/10 pwr EE382M VLSI-II Class Notes

Foil # 27

Src: After Nowka, et.al. JSSC, Nov ‘02

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Shoot-through minimization

Ist in

out

P = ½ CswVdd ∆V f + IstVdd + IstaticVdd •

For most designs, shoot-thru represents 8-15% of active power.



Avoidance and minimization:

in

– Lower supply voltage out

– Domino? – Avoid slow input slews

Both Pfet & Nfet conducting

EE382M VLSI-II Class Notes

– Careful of level-shifters in multiple voltage domain designs

Foil # 28

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Estimating Active Power Consumption P = ½ CswVdd ∆V f + IstVdd + IstaticVdd •

The problem is how to estimate capacitance switched



Switch factor SF: ½ Csw = Σ SFi Cnode i i – Low level circuit analysis – spice analysis – Higher level: spreadsheet/back-of-the-envelope/power tools for estimation • Aggregate or node-by-node estimation of switch factors – 1.0 ungated clocks, 0.5 signals which switch every cycle, 0.1-0.2 for processor logic • These can be more accurately derived by tools which look at pattern dependence and timing



Node Capacitance – sum of all cap: output driver parasitic, interconnect, load gate cap

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Agenda Overview of VLSI power Technology, Scaling, and Power Review of scaling A look at the real trends and projections for the future Active power – components, trends, managing, estimating Static power – components, trends, managing, estimating Summary

EE382M VLSI-II Class Notes

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Static Power P = CswVdd ∆V f + IstVdd + IstaticVdd •

Static energy consumption (IstaticVdd) – Current sources – even uA bias currents can add up. – NMOS, pseudo-NMOS – not commonly used – CMOS CML logic – significant power for specialized use. – Junction currents – Subthreshold MOS currents – Gate tunneling

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Subthreshold Leakage P = KVe(Vgs-Vt)q/nkT (1 – e -Vds q/kT) •

Supplies have been held artificially high (for freq) – Threshold has not dropped as fast as it should (because of variability and high supply voltages) – We’d like to maintain Ion:Ioff = ~1000uA/u : 10nA/u – Relatively poor performance => Low Vt options • 70-180mV lower Vt, 10-100x higher leakage, 5-15% faster



Subthreshold lkg especially increasing in short channel devices (DIBL) & at high T – 100-1000nA/u



Subthreshold slope 85-110 mV/decade



Cooling changes the slope….but can it be energy efficient?

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Passive Power Continues to Explode Leakage is the price we pay for the increasing device performance

Fit of published active and subthreshold CMOS device leakage densities

Power Density (W/cm2)

1000 100

Active Power

10

Passive Power 1 0.1

Gate Leakage

0.01 1994

2005

0.001 1

0.1

Gate Length (microns)

0.01

Src: Nowak, et al EE382M VLSI-II Class Notes

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Gate Leakage •

Gate tunneling becoming dominant leakage mechanism in very thin gate oxides



Current exponential in oxide thickness



Current exponential in voltage across oxide



Reduction techniques: – Lower the field (voltage or oxide thickness) – New gate ox material Metal gate electrode Poly-Si High-k material

Oxide interlayer

SiON 30A

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Future Leakage, Standby Power Trends Standby Power/Gate

Power (nW)

150

100

50

0 160

140

120

100

80

60

40

20

Technology Src: ITRS ‘01

And, recall number of transistors/die has been increasing 2X/2yrs (Active power/gate should be 0.5x/gen, has been 1X/gen)

For the foreseeable future, leakage is a major power issue

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Standby-Power Reduction Techniques Standby power can be reduced through: − Capacitance minimization − Voltage-scaling − Power gating − Vdd/Vt selection

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Capacitance minimization Only the devices (device width) used in the design leak! − Runs counter to the complexity-for-IPC trend − Runs counter to the SOC trend − Transistors are not free -- Even though they are not switched they still leak

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Voltage Scaling Standby Reduction Decreasing the supply voltage significantly improves standby power

2 Standby Power (mW)

Logic leakage w/VCO inactive

1.5 1 0.5 0 0.8

1

1.2 1.4 1.6 Logic Voltage(V)

1.8

2

Subthreshold dominated technology After Nowka, et.al. ISSCC ‘02 EE382M VLSI-II Class Notes

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Supply/Power Gating •

Especially for energy constrained (e.g. battery powered systems). Two levels of gating: – “Standby, freeze, sleep, deep-sleep, doze, nap, hibernate”: lower or turn off power supply to system to avoid power consumption when inactive • Control difficulties, hidden-state, entry/exit, “instanton” or user-visible.

– Unit level power gating – turn off inactive units while system is active • Eg. MTCMOS • Distribution, entry/exit control & glitching, state-loss…

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MTCMOS • • • • •

Use header and/or footer switches to disconnect supplies when inactive. For performance, low-Vt for logic devices. 10-100x leakage improvement, ~5% perf overhead Loss of state when disconnected from supplies Large number of variants in the literature

B A A

EE382M VLSI-II Class Notes

Standby headers/ footers

B A

Xb B

A

Foil # 40

Xb

B

The University of Texas at Austin

Vt / Tox selection

X

Xb

X

Low threshold/ Thin oxide

Xb Hi threshold/ Thicker oxide

• Low Vt devices on critical paths, rest high Vt • 70-180mV higher Vt, 10-100x lower leakage, 5-20% slower • Small fraction of devices low-Vt (1-5%) • Thick oxide reduces gate leakage by orders of magnitude

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Device Stacking

Xb

X

Xb X Stacked devices

• Decreases subthreshold leakage • Improvement beyond use of long channel device • 2-5x improvement in subthreshold leakage • 15-35% performance penalty

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Vt or/and Vdd selection •

Design tradeoff: – Performance => High supply, low threshold – Active Power => Low supply, low threshold – Standby => Low supply, high threshold



Static – Stack effect – minimizing subthreshold thru single fet paths – Multiple thresholds: High Vt and Low Vt transistors – Multiple supplies: high and low Vdd

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Vt or/and Vdd selection (cont’d) •

Design tradeoff:



Static



– Performance => High supply, low threshold – Active Power => Low supply, low threshold – Standby => Low supply, high threshold – – – –

Stack effect – minimizing subthreshold thru single fet paths Multiple thresholds: High Vt and Low Vt Transistors Multiple supplies: high and low Vdd Problem: optimum (Vdd,Vt) changes over time, across dice

Dynamic (Vdd,Vt) selection

– DVS for supply voltage – Dynamic threshold control thru: • Active well • Substrate biasing • SOI back gate, DTMOS, dual-gate technologies

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Hitachi-SH4 leakage reduction Triple Well Process Reverse Bias Active Well – can achieve >100x leakage reduction

3.3V

GP GN

Switch Cell

1.8V Logic

Vbp

1.8V

VDD

1.8V

GND

0V

Vbn

0V

Switch Cell

-1.5V EE382M VLSI-II Class Notes

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Nwell/Virtual Gnd Leakage Reduction Similar technique for Nwell/Psub technology – Intel approach VB

+ VDD+VB

uP Core

Leakpfet

Vbp

VDD

VDD

VDD VB

Leaknfet

EE382M VLSI-II Class Notes

Foil # 46

VSS

0V

GND

0V

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Estimating Leakage Power Consumption P = ½ CswVdd ∆V f + IstVdd + IstaticVdd •

The problem is how to estimate the leakage current



Estimating leakage currents – Low level circuit analysis – spice analysis – Higher level: spreadsheet/back-of-the-envelope/power tools for estimation • Subthreshold: Estimates based on the fraction of the device width leaking. Usually evaluated for some non-nominal point in the process and higher temperature. Aggregate or nodeby-node estimation of derating factors – fraction of devices with field across the SD device ~1/3 for logic. • Gate leakage: Estimates based on the fraction of the device area leaking. Aggregate or node-by-node estimation of derating factors – fraction of devices with field across the gate of the device.

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Agenda Overview of VLSI power Technology, Scaling, and Power Review of scaling A look at the real trends and projections for the future Active power – components, trends, managing, estimating Static power – components, trends, managing, estimating Summary

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Low Power Circuits Summary Technology, Scaling, and Power Technology scaling hasn’t solved the power/energy problems. So what to do? We’ve shown that, Do less and/or do in parallel at low V. For the circuit designer this implies: –

supporting low V,



supporting power-down modes,



choosing the right mix of Vt,



sizing devices appropriately



choosing right Vdd, (adaptation!)

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References •

Power Metrics – T. Sakurai and A. Newton, “Alpha-power law MOSFET model and its applications to CMOS inverter delay and other formulas”, IEEE Journal of Solid State Circuits, v. 25.2, pp. 584-594, Apr. 1990. – R. Gonzalez, B. Gordon, M. Horowitz, “Supply and threshold voltage scaling for low power CMOS” IEEE Journal of Solid State Circuits, v. 32, no. 8, pp. 1210-1216, August 2000. – Zyuban and Strenski, “Unified Methodology for Resolving PowerPerformance Tradeoffs at the Microarchitectural and Circuit Levels”,ISPLED Aug.2002 – Brodersen, Horowitz, Markovic, Nikolic, Stojanovic “Methods for True Power Minimization”, ICCAD Nov. 2002 – Stojanovic, Markovic, Nikolic, Horowitz, Brodersen, “Energy-Delay Tradoffs in Combinational Logic using Gate Sizing and Supply Voltage Optimization”, ESSCIRC, Sep. 2002

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References •

Power/Low Power – – – – – – – – – –



SIA, International Technology Roadmap for Semiconductors, 2001,2003, 2005 available online. V. Agarwal, M.S. Hrishikesh, S.W. Keckler, and D. Burger. "Clock Rate Versus IPC: The End of the Road for Conventional Microarchitectures," 27th International Symposium on Computer Architecture (ISCA), June, 2000. Allan, et. al., “2001 Tech. Roadmap for Semiconductors”,IEEE Computer Jan. 2002 Chandrakasan, Broderson, (ed) Low Power CMOS Design IEEE Press, 1998. Oklobdzija (ed) The Computer Engineering Handbook CRC Press, 2002 Kuo, Lou Low voltage CMOS VLSI Circuits, Wiley, 1999. Bellaouar, Elmasry, Low Power Digital VLSI Design, Circuits and Systems, Kluwer, 1995. Chandrakasan, Broderson, Low Power Digital CMOS Design Kluwer, 1995. A. Correale, “Overview of the power minimization techniques employed in the IBM PowerPC 4xx embedded controllers” IEEE Symposium on Low Power Electronics Digest of Technical Papers, pp. 75-80, 1995. K. Nowka, G. Carpenter, E. MacDonald, H. Ngo, B. Brock, K. Ishii, T. Nguyen, J. Burns, “A 0.9V to 1.95V dynamic voltage scalable and frequency scalable 32-bit PowerPC processor “, Proceedings of the IEEE International Solid State Circuits Conference, Feb. 2002. K. Nowka, G. Carpenter, E. MacDonald, H. Ngo, B. Brock, K. Ishii, T. Nguyen, J. Burns, “A 32-bit PowerPC System-on-a-Chip with support for dynamic voltage scaling and dynamic frequency scaling”, IEEE Journal of Solid State Circuits, November, 2002.

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References •

Low Voltage / Voltage Scaling – – – – –





E. Vittoz, “Low-power design: ways to approach the limits” IEEE International Solid State Circuits Conference Digest of Technical Papers, pp. 14-18, 1994. M. Horowitz, T. Indermaur, R. Gonzalez, “Low-power digital design” IEEE Symposium on Low Power Electronics Digest of Technical Papers, pp. 8-11, 1994. R. Gonzalez, B. Gordon, M. Horowitz, “Supply and threshold voltage scaling for low power CMOS” IEEE Journal of Solid State Circuits, v. 32, no. 8, pp. 1210-1216, August 2000. T. Burd and R. Brodersen, “Energy efficient CMOS microprocessor design ” Proceedings of the Twenty-Eighth Hawaii International Conference on System Sciences, v. 1, pp. 288-297, 466, 1995. K. Suzuki, S. Mita, T. Fujita, F. Yamane, F. Sano, A. Chiba, Y. Watanabe, K. Matsuda, T. Maeda, T. Kuroda, “A 300 MIPS/W RISC core processor with variable supply-voltage scheme in variable threshold-voltage CMOS” Proceedings of the IEEE Conference on Custom Integrated Circuits Conference, pp. 587 –590, 1997 T. Kuroda, K. Suzuki, S. Mita, T. Fujita, F. Yamane, F. Sano, A. Chiba, Y. Watanabe, K. Matsuda, T. Maeda, T. Sakurai, T. Furuyama, “Variable supply-voltage scheme for lowpower high-speed CMOS digital design” IEEE Journal of Solid State Circuits, v. 33, no. 3, pp. 454-462, March 1998. T. Burd, T. Pering, A. Stratakos, R. Brodersen, “A dynamic voltage scaled microprocessor system ” IEEE International Solid State Circuits Conference Digest of Technical Papers, pp. 294-295, 466, 2000.

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References •

Technology and Circuit Techniques – – – – – – – –

E. Nowak, et al., “Scaling beyond the 65 nm node with FinFET-DGCMOS” Proceedings of the IEEE Custom Integrated Circuits Conference, Sept. 21-24, 2003, pp.339 – 342 L. Clark, et al. “An embedded 32b microprocessor core for low-power and highperformnace applications”, IEEE Journal of Solid State Circuits, V. 36, No. 11, Nov. 2001, pp. 1599-1608 S. Mukhopadhyay, C. Neau, R. Cakici, A. Agarwal, C. Kim, and K. Roy, “Gate leakage reduction for scaled devices using transistor stacking” IEEE Transactions on Very Large Scale Integration (VLSI) Systems, Aug. 2003, pp. 716 – 730 A. Bhavnagarwala, et al., “A pico-joule class, 1GHz, 32 Kbyte x 64b DSP SRAM with Self Reverse Bias” 2003 Symposium on VLSI Circuits, June 2003, pp. 251-251. S. Mutoh, et al., “1-V Power Supply High-Speed Digital Circuit Technology with MultiThreshold Voltage CMOS,” IEEE Journal of Solid State Circuits, vol. 30, no. 8, pp. 847854, 1995. K. Das, et al., “New Optimal Design Strategies and Analysis of Ultra-Low Leakage Circuits for Nano- Scale SOI Technology,” Proc. ISLPED, pp. 168-171, 2003. R. Rao, J. Burns and R. Brown, “Circuit Techniques for Gate and Sub-Threshold Leakage Minimization in Future CMOS Technologies” Proc. ESSCIRC, pp. 2790-2795, 2003. R. Rao, J. Burns and R. Brown, “Analysis and optimization of enhanced MTCMOS scheme” Proc. 17th International Conference on VLSI Design, 2004, pp. 234-239.

EE382M VLSI-II Class Notes

Foil # 53

The University of Texas at Austin

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