ESE370: Circuit-Level Modeling, Design, and Optimization for Digital Systems

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1 ESE370: Circuit-Level Modeling, Design, and Optimization for Digital Systems Lec 12: October 4, 2017 Scaling Penn ESE 370 Fall Khanna

2 Today! VLSI Scaling Trends/Disciplines! Effects! Alternatives (cheating) Penn ESE 370 Fall Khanna 2

3 Scaling! Premise: features scale uniformly " everything gets better in a predictable manner! Parameters: # λ (lambda) -- Mead and Conway (Day14) # F -- Half pitch ITRS (F=2λ) # S scale factor Rabaey # F =S F Penn ESE 370 Fall Khanna 3

4 ITRS Roadmap! International Technology Roadmap for Semiconductors " Try to predict where industry going! ITRS 2.0 started in 2015 with new focus " System Integration, Heterogeneous Integration, Heterogeneous Components, Outside System Connectiviy, More Moore, Beyond CMOS and Factory Integartion.! Penn ESE 370 Fall Khanna 4

5 Microprocessor Trans Count Curve shows transistor count doubling every two years Pentium 2-Core Itanium 2 Pentium 4 Pentium III Pentium II AMD K5 16-Core SPARC T3 6-Core i7 i7 AMD K10 AMD K7 AMD K8 10-Core Xenon IBM 4-Core z196 IBM 8-Core POWER7 4-Core Itanium Tukwilla AMD 6-Core Opteron 4-Core i Mot Mot Zilog Z80 MOS : Oracle SPARC M7, 20 nm CMOS, 32-Core, 10B 3-D FinFET transistors. Kenneth R. Laker, University of Pennsylvania, updated 20Jan15 Penn ESE 370 Fall Khanna

6 Trend Minimum Feature Size vs. Year 100 µm 10 µm 1 µm 0.1 µm Process Node/ Minimum Feature 0.18 µm in 1999 Integrated Circuit History ITRS Roadmap 10 nm 1 nm Transition Region Quantum Devices NOT SO Distant Future 0.1 nm Atomic Dimensions Year Minimum Feature Measure = line/gate conductor width or half-pitch (adjacent 1 st metal layer lines or adjacent transistor gates) Penn ESE 370 Fall Khanna 6

7 Intel Cost Scaling Penn ESE 370 Fall Khanna 7

8 Moore s Law Impact on Intel ucomputers Min Feature Size 2BT µp (Intel Itanium Tukwila) 4-Core chip (65 nm) introduced Q BT mp (Intel Itanium Poulson) 8-Core chip (32 nm) to be introduced Serial data links operating at 10 Gbits/sec. Introduces 22 nm Tri-gate Transistor Tech. Increased reuse of logic IP, i.e. designs and cores. Complexity - # transistors Double every Two Years Penn ESE 370 Fall Khanna 0.032um um YEAR 8

9 More Moore $ Scaling! Geometrical Scaling " continued shrinking of horizontal and vertical physical feature sizes! Equivalent Scaling " 3-dimensional device structure improvements and new materials that affect the electrical performance of the chip even if no geometrical scaling! Design Equivalent Scaling " design technologies that enable high performance, low power, high reliability, low cost, and high design productivity even if neither geometrical nor equivalent scaling can be used Penn ESE 370 Fall Khanna 9

10 22nm 3D FinFET Transistor High-k gate dielectric Tri-Gate transistors with multiple fins connected together increases total drive strength for higher performance Penn ESE 370 Fall Khanna 10

11 Scaling More-than-Moore More-than-Moore, International Road Map (IRC) White Paper, International Technology Road Map for Semiconductors Penn ESE 370 Fall Khanna 11

12 Semiconductor System Integration More Than Moore's Law Transistors/cm SOP law for system integration. As components shrink and boards all but disappear, component density will double every year or so. Multichip Module Systemin-package (SIP) System on-package (SOP) Components/cm R. Tummala, Moore's Law Meets Its Match, IEEE Spectrum, June, 2006 Penn ESE 370 Fall Khanna 12

13 Improvement Trends for VLSI SoCs Enabled by Geometrical and Equivalent Scaling! TRENDS:! Higher Integration level " exponentially increased number of components/ transistors per chip/package.! Performance Scaling " combination of Geometrical (shrinking of dimensions) and Equivalent (innovation) Scaling.! System implementation " SoC + increased use of SiP - > SOP! CONSEQUENCES:! Higher Speed " CPU clock rate at multiple GHz + parallel processing.! Increased Compactness & less weight " increasing system integration.! Lower Power " Decreasing energy requirement per function.! Lower Cost " Decreasing cost per function. Penn ESE 370 Fall Khanna 13

14 Societal Needs Penn ESE 370 Fall Khanna 14

15 More Moore $ Scaling! Examples: " Design-for-variability " Low power design (sleep modes, clock gating, multi- Vdd, etc.) " Multi-core SOC architectures Penn ESE 370 Fall Khanna 15

16 Preclass 1! Scaling from 32nm $ 22nm? " Scaling minimum gate length " And pitch distance Penn ESE 370 Fall Khanna 16

17 Half Pitch (= Pitch/2) Definition Metal Pitch Poly Pitch (Typical DRAM) (Typical MPU/ASIC) Source: 2001 ITRS - Exec. Summary, ORTC Figure, Andrew Kahng Penn ESE 370 Fall Khanna 17

18 MOS Transistor Scaling - (1974 to present) S=0.7 per technology node [0.5x per 2 nodes] Pitch Gate Source: 2001 ITRS - Exec. Summary, ORTC Figure, Andrew Kahng Penn ESE 370 Fall Khanna 18

19 Scaling Calculator Node Cycle Time: 0.7x 0.7x 250 -> 180 -> 130 -> 90 -> 65 -> 45 -> 32 -> 22 -> x N N+1 N+2 Log Half-Pitch 1994 NTRS -.7x/ 3yrs Actual -.7x/2yrs Linear Time Source: 2001 ITRS - Exec. Summary, ORTC Penn ESE 370 Fall Khanna Figure, Andrew Kahng 19

20 Scaling! Channel Length (L)! Channel Width (W)! Oxide Thickness (T ox )! Doping (N a )! Voltage (V) Penn ESE 370 Fall Khanna 20

21 Full Scaling (Ideal Scaling)! Channel Length (L) S! Channel Width (W) S! Oxide Thickness (T ox ) S! Doping (N a ) 1/S! Voltage (V) S Penn ESE 370 Fall Khanna 21

22 Effects on Physical Properties and Specs?! Area! Capacitance! Resistance! Threshold (V th )! Current (I d )! Gate Delay (τ gd )! Wire Delay (τ wire )! Power Penn ESE 370 Fall Khanna 22

23 Area! λ % λs! Area impact?! Α = L W! Α % ΑS 2! 32nm % 22nm! 50% area! 2 transistor capacity for same area L S=0.7 W Penn ESE 370 Fall Khanna 23

24 Capacitance! Capacitance per unit area scaling? " C ox = ε SiO 2 /T ox " T ox % S T ox " C ox % C ox /S S=0.7 Penn ESE 370 Fall Khanna 24

25 Capacitance! Gate Capacitance scaling? # C gate = A C ox # Α % Α S 2 # C ox % C ox /S # C gate % S C gate Penn ESE 370 Fall Khanna 25

26 Resistance! Resistance scaling?! R=ρL/(W*t)! W$ S W! L, t remain similar (not scaled)! R $ R/S Penn ESE 370 Fall Khanna 26

27 Threshold Voltage! V TH % S V TH Penn ESE 370 Fall Khanna 27

28 Current! Which Voltages matters here? (V gs,v ds,v th )! Transistor charging looks like voltage-controlled current source! Saturation Current scaling? I d =(µc OX /2)(W/L)(V gs -V TH ) 2 V gs =V$ S V V TH $ S V TH W$ S W L$ S L C ox $ C ox /S Penn ESE 370 Fall Khanna 28

29 Current! Which Voltages matters here? (V gs,v ds,v th )! Transistor charging looks like voltage-controlled current source! Saturation Current scaling? I d =(µc OX /2)(W/L)(V gs -V TH ) 2 V gs =V$ S V V TH $ S V TH W$ S W L$ S L C ox $ C ox /S I d =(µc OX /2S)(SW/SL)(SV gs -SV TH ) 2 Penn ESE 370 Fall Khanna 29

30 Current! Which Voltages matters here? (V gs,v ds,v th )! Transistor charging looks like voltage-controlled current source! Saturation Current scaling? I d =(µc OX /2)(W/L)(V gs -V TH ) 2 V gs =V$ S V V TH $ S V TH W$ S W L$ S L C ox $ C ox /S I d $ S I d Penn ESE 370 Fall Khanna 30

31 Current! Velocity Saturation Current scaling? V gs =V$ S V V TH $ S V TH L$ S L W$ S W C ox $ C ox /S Penn ESE 370 Fall Khanna 31

32 Current! Velocity Saturation Current scaling? V gs =V$ S V V TH $ S V TH L$ S L W$ S W C ox $ C ox /S V DSAT Lν sat µ n V DSAT $ S V DSAT Penn ESE 370 Fall Khanna 32

33 Current! Velocity Saturation Current scaling? V gs =V$ S V V TH $ S V TH L$ S L W$ S W C ox $ C ox /S V DSAT Lν sat µ n % I DS ν sat C OX W V GS V TH V DSAT ' & 2 ( * ) V DSAT $ S V DSAT I d $ S I d Penn ESE 370 Fall Khanna 33

34 Gate Delay # Gate Delay scaling? # τ gd =Q/I=(CV)/I # V$ S V Note: I ds modeled as current source; V is changing with scale factor # I d $ S I d # C $ S C Penn ESE 370 Fall Khanna 34

35 Gate Delay # Gate Delay scaling? # τ gd =Q/I=(CV)/I # V$ S V Note: I ds modeled as current source; V is changing with scale factor # I d $ S I d # C $ S C # τ gd $ S τ gd Penn ESE 370 Fall Khanna 35

36 Wire Delay # Wire delay scaling? # τ wire =R C # R $ R/S! assuming (logical) wire lengths remain constant... # C $ S C # τ wire $ τ wire Penn ESE 370 Fall Khanna 36

37 Power Dissipation (Dynamic)! Capacitive (Dis)charging scaling?! P=(1/2)CV 2 f! V$ S V! C $ S C! P$ S 3 P Penn ESE 370 Fall Khanna 37

38 Power Dissipation (Dynamic)! Capacitive (Dis)charging scaling?! P=(1/2)CV 2 f! Increase Frequency?! V$ S V! C $ S C! P$ S 3 P! τ gd $ S τ gd! So: f $ f/s! P $ S 2 P Penn ESE 370 Fall Khanna 38

39 Effects?! Area S 2! Capacitance S! Resistance 1/S! Threshold (V th ) S! Current (I d ) S! Gate Delay (τ gd ) S! Wire Delay (τ wire ) 1 S=0.7! Power S 3, S 2 (w/ freq scaling) Penn ESE 370 Fall Khanna 39

40 Power Density! P% S 2 P (increased frequency)! P% S 3 P (same frequency)! A % S 2 A! Power Density: P/A two cases? " P/A % P/A increase freq. " P/A % S P/A same freq. Penn ESE 370 Fall Khanna 40

41 Cheating! Don t like some of the implications! High resistance wires! Higher capacitance! Atomic-scale dimensions!. Quantum tunneling! Need for more wiring! Not scale speed fast enough Penn ESE 370 Fall Khanna 41

42 Improving Resistance! R=ρL/(W t)! W$ S W! L, t similar! R $ R/S Penn ESE 370 Fall Khanna 42

43 Improving Resistance! R=ρL/(W t)! W$ S W! L, t similar! R $ R/S What might we do? Didn t scale t quite as fast $ now taller than wide. Decrease ρ (copper) introduced Penn ESE 370 Fall Khanna 43

44 Capacitance and Leakage! Capacitance per unit area " C ox = ε SiO 2 /T ox " T ox % S T ox " C ox % C ox /S What s wrong with t ox = 1.2nm? source: Borkar/Micro 2004 Penn ESE 370 Fall Khanna 44

45 Capacitance and Leakage! Capacitance per unit area " C ox = ε SiO 2 /T ox " T ox % S T ox " C ox % C ox /S What might we do? Reduce dielectric constant, ε, and increase thickness to mimic t ox scaling. Penn ESE 370 Fall Khanna 45

46 ITRS 2009 Table PIDS3B Low Operating Power Technology Requirements Grey cells delineate one of two time periods: either before initial production ramp has started for ultrathin body fully depleted (UTB FD) SOI or multi-gate (MG) MOSFETs, or beyond when planar bulk or UTB FD MOSFETs have reached the limits of practical scaling (see the text and the table notes for further discussion). Year of Production MPU/ASIC Metal 1 (M1) ½ Pitch (nm) (contacted) Lg: Physical Lgate for High Performance logic (nm) L g : Physical Lgate for Low OperatingPower (LOP) logic (nm) [1] EOT: Equivalent Oxide Thickness (nm) [2] Extended planar bulk UTB FD MG Gate poly depletion (nm) [3] Bulk Channel doping (E18 /cm3) [4] Extended Planar Bulk Junction depth or body Thickness (nm) [5] Extended Planar Bulk (junction) UTB FD (body) MG (body) EOT elec : Electrical Equivalent Oxide Thickness (nm) [6] Extended Planar Bulk UTB FD MG Penn ESE 370 Fall Khanna 46

47 High-K dielectric Survey Wong/IBM J. of R&D, V46N2/3P , 2002 Penn ESE 370 Fall Khanna 47

48 Intel NYT Announcement! Intel Says Chips Will Run Faster, Using Less Power " NYT 1/27/07, John Markov " Claim: most significant change in the materials used to manufacture silicon chips since Intel pioneered the modern integratedcircuit transistor more than four decades ago " Intel s advance was in part in finding a new insulator composed of an alloy of hafnium will replace the use of silicon dioxide. Penn ESE 370 Fall Khanna 48

49 Wire Layers = More Wiring Penn ESE 370 Fall Khanna 49

50 Gate Delay # τ gd =Q/I=(CV)/I # V$ S V # I d =(µc OX /2)(W/L)(V gs -V TH ) 2 How might we accelerate? # I d $ S I d # C $ S C # τ gd $ S τ gd Penn ESE 370 Fall Khanna 50

51 Improving Gate Delay More # τ gd =Q/I=(CV)/I # V$ V # I d =(µc OX /2S)(SW/SL)(V gs -V TH ) 2 # I d $ I d /S How might we accelerate? Don t scale V! # C $ S C # τ gd $ S 2 τ gd Penn ESE 370 Fall Khanna 51

52 But Power Dissipation (Dynamic)! Capacitive (Dis)charging # P=(1/2)CV 2 f # V$ V # C $ S C # P$ S P Penn ESE 370 Fall Khanna 52

53 But Power Dissipation (Dynamic)! Capacitive (Dis)charging # P=(1/2)CV 2 f # V$ V # C $ S C! Increase Frequency? # f $ f/s 2 # P $ P/S # P$ S P If don t scale V, power dissipation doesn t scale down! Penn ESE 370 Fall Khanna 53

54 And Power Density! P$ P/S (increase frequency)! Α $ S 2 Α! What happens to power density? Penn ESE 370 Fall Khanna 54

55 And Power Density! P$ P/S (increase frequency)! Α $ S 2 Α! What happens to power density?! P/A $ (1/S 3 )P! Power Density Increases this is where some companies have gotten into trouble Penn ESE 370 Fall Khanna 55

56 Historical Voltage Scaling Frequency impact?! Power Density impact? Penn ESE 370 Fall Khanna 56

57 Scale V separately with Factor U! τ gd =Q/I=(CV)/I! V$U V Penn ESE 370 Fall Khanna 57

58 Scale V separately with Factor U! τ gd =Q/I=(CV)/I! V$U V! I d =(µc OX /2S)(SW/SL)(UV gs -UV TH ) 2! I d $ U 2 /S I d! C $ S C Penn ESE 370 Fall Khanna 58

59 Scale V separately with Factor U! τ gd =Q/I=(CV)/I! V$U V! I d =(µc OX /2S)(SW/SL)(UV gs -UV TH ) 2! I d $ U 2 /S I d! C $ S C! τ gd $ (SU/(U 2 /S)) τ gd! τ gd $ (S 2 /U) τ gd Penn ESE 370 Fall Khanna 59

60 Scale V separately with Factor U! τ gd =Q/I=(CV)/I! V$U V! I d =(µc OX /2S)(SW/SL)(UV gs -UV TH ) 2! I d $ U 2 /S I d Ideal scale factors: S=1/100 U=1/100 τ=1/100 f ideal =100! C $ S C! τ gd $ (SU/(U 2 /S)) τ gd! τ gd $ (S 2 /U) τ gd! f $ (U/S2 ) f Penn ESE 370 Fall Khanna 60

61 Scale V separately with Factor U! τ gd =Q/I=(CV)/I! V$U V! I d =(µc OX /2S)(SW/SL)(UV gs -UV TH ) 2! I d $ U 2 /S I d Ideal scale factors: S=1/100 U=1/100 τ=1/100 f ideal =100! C $ S C! τ gd $ (SU/(U 2 /S)) τ gd! τ gd $ (S 2 /U) τ gd! f $ (U/S2 ) f What are U and S? Penn ESE 370 Fall Khanna 61

62 Scale V separately with Factor U! τ gd =Q/I=(CV)/I! V$U V! I d =(µc OX /2S)(SW/SL)(UV gs -UV TH ) 2! I d $ U 2 /S I d! C $ S C! τ gd $ (SU/(U 2 /S)) τ gd! τ gd $ (S 2 /U) τ gd Ideal scale factors: S=1/100 U=1/100 τ=1/100 f ideal =100 Cheating factors: S=1/100 U=1/10! f $ (U/S2 ) f How much faster are gates? Penn ESE 370 Fall Khanna 62

63 Scale V separately with Factor U! τ gd =Q/I=(CV)/I! V$U V! I d =(µc OX /2S)(SW/SL)(UV gs -UV TH ) 2! I d $ U 2 /S I d! C $ S C! τ gd $ (SU/(U 2 /S)) τ gd! τ gd $ (S 2 /U) τ gd! f $ (U/S2 ) f f cheat /f ideal =10 Ideal scale factors: S=1/100 U=1/100 τ=1/100 f ideal =100 Cheating factors: S=1/100 U=1/10 τ=1/1000 f cheat =1000 Penn ESE 370 Fall Khanna 63

64 Power Density Impact! P = 1/2CV 2 f! P $ S U 2 (U/S 2 ) = U 3 /S! P/A = (U 3 /S) / S 2 = U 3 /S 3 Penn ESE 370 Fall Khanna 64

65 Power Density Impact! P = 1/2CV 2 f! P $ S U 2 (U/S 2 ) = U 3 /S! P/A = (U 3 /S) / S 2 = U 3 /S 3! U=1/10 S=1/100! P/A $ 1000 (P/A) Penn ESE 370 Fall Khanna 65

66 Power Density Impact! P = 1/2CV 2 f! P $ S U 2 (U/S 2 ) = U 3 /S! P/A = (U 3 /S) / S 2 = U 3 /S 3! U=1/10 S=1/100! P/A $ 1000 (P/A)! Compare with ideal scaling:! P/A $ (1/S 3 )P (ideal scaling)! P/A $ 1,000,000 (P/A) (ideal scaling) Penn ESE 370 Fall Khanna 66

67 uproc Clock Frequency MHz The Future of Computing Performance: Game Over or Next Level? National Academy Press, 2011 Penn ESE 370 Fall Khanna 67

68 up Power Density Watts The Future of Computing Performance: Game Over or Next Level? National Academy Press, 2011 Penn ESE 370 Fall Khanna 68

69 Conventional Scaling! Ends in your lifetime! Perhaps already: " "Basically, this is the end of scaling. " May 2005, Bernard Meyerson, V.P. and chief technologist for IBM's systems and technology group Penn ESE 370 Fall Khanna 69

70 ITRS 2.0 Report 2015! After 2021, the report forecasts, it will no longer be economically desirable for companies to continue traditional transistor miniaturization in microprocessors. Penn ESE 370 Fall Khanna 70

71 BUT Source: Penn ESE 370 Fall Khanna 71

72 BUT Source: Penn ESE 370 Fall Khanna 72

73 Big Ideas! Moderately predictable VLSI Scaling " unprecedented capacities/capability growth for engineered systems " change " be prepared to exploit " account for in comparing across time " but not for much longer Penn ESE 370 Fall Khanna 73

74 Admin! HW5 " More transistor practice " Hard prepares you for design project 1 " Due Wednesday! Midterm " Grades and solutions posted " Pick up from me after class Penn ESE 370 Fall Khanna 74

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