Analog IC Design Analog IC Design – An Intuitive Approach – Gabriel Alfonso Rincón-Mora Georgia Institute of Technology Rincon-Mora.gatech.edu Chapters T X TE 1. Microelectronic Systems N O C 2. Microelectronic Devices N O 3. Single-Transistor Primitives TI A D UN 4. Analog Building Blocks FO U❉ N H 5. Negative Feedback 6. Operational Amplifiers N O TI A7. Comparators C LI P P A8. Reference Circuits Final Notes on Analog IC Design Page 1 Analog IC Design 1.1. Emerging Applications Applications: Bio-monitors, micro-sensors, pacemakers, cochlear processors, 10–200 µW defibrillators, hearing aids, reconnaissance, micro-robots, remote meters, Peak to 5–10 W 02–2 mW 1–10 mW Micro-sensor neural recorders/stimulators, retinal implants, and others. 1–100 mW 40–250 mW Requirements: Useful, unobtrusive, and economical. Smart (e.g., low-power sensor, processor, transmitter, etc.) Portable (i.e., small and compact) ot b o Lightweight o-r cr Mi Self-powered (with onboard power source) Self-sustained (with ambient energy) or nit Silicon microchip (i.e., on-chip, in-package, mo o- Bi and on-package integration) 1.2. Technological Constraints Portable and Unobtrusive àSmall Footprint: 1 Microchip Low Breakdown Voltages à Low Supply Voltages: 1–1.8 V High Integration à Diverse Power Levels: nW's to W's à Diverse Supply Voltages: 0.5–2 V Low Filter Density à Low C /µm2 ≤ 15 fF/µm2 MAX E.g.: 1 nF requires 260 × 260 µm2 à L ≤ 40–100 nH MAX Noise-Sensitive (analog) Blocks à Accurate and Fast Supplies: Δv ≤ 10–100 mV SUPPLY(DC–RIPPLE–DUMPS) High Silicon (wafer) Density à Digital VLSI (CMOS) and Mixed-Signal (BiCMOS) Microchips Page 2 Analog IC Design Parameter Specifications Simulated Perf. Meas. Perf. Un Min. Typ. Max. Min. Typ. Max. Mean Sigma 1.3. System VLio♥ueta (ro Rveer❣aulll ❛a(cid:0)cocruracy) 2.85 3 3.15 2.87 3.1 3.05 0.1 V Line Regulation 10 3 7 10 2 m Requirements Load Regulation 50 42 45 5 m Short Ckt. Current 0 250 225 30 m ✶✁ Refer ce ❡♥ Low breakdown voltage and low battery voltage à Low supply headroom (margin). Long life, little board space, and no heat sinks à Low power consumption. Accurate and high performance, but with low dynamic range (low signal/noise ratio). On chip à High power-packing density, low exposure to high voltages, and low interface power (i.e., less parasitic capacitance to charge and discharge). Cross-coupled, substrate-injected, and electronic noise à Suppress noise. Noisy supply à Reject supply noise à High power-supply rejection. I.e.: Highly functional: complex, fast, accurate, low cost: CMOS and few components, small: SoC/SiP/SoP, long life: low power, reliable: few transistors, etc. 1.4. Objectives Present, discuss, and show how to understand, develop, and use semiconductor devices to design analog integrated circuits (ICs). Develop and illustrate how to model, analyze, and design analog ICs using bipolar, CMOS, and biCMOS technologies. Develop basic understanding and critical-thinking skills, in other words, insight and intuition for how semiconductor devices work individually and collectively in microelectronic circuits. Furnish a physical and insightful view of solid-state circuits that transcends rigorous mathematical and algebraic formulations to empower the engineer with the tools necessary to design practical, high-performance, and innovative ICs. Page 3 Analog IC Design Chapter 2. Microelectronic Devices Outline 2.1. Resistors 2.2. Capacitors 2.3. PN-Junction Diodes 2.4. Bipolar-Junction Transistors 2.5. Metal–Oxide–Semiconductor Field-Effect Transistors 2.6. Junction Field-Effect Transistors 2.7. Practical Considerations Page 4 Analog IC Design 2.1. Resistors: A. Theory of Operation Materials (diffusion, poly-silicon, etc.) offer resistance to charge carriers. Resistance rises with length L and falls with cross-sectional area A (i.e., W T ). X X X X Sheet Resistance RX=ρAXLXX =TρXXWLXX RS=ρTXX RX=R❙!"#WLXX$%&=R❙NX (of one square) ρX ≡ Resistivity WX and LX are design variables. NX ≡ Number of Squares Parasitics v =i R P =i v R R X R R R A dielectric isolates resistors from substrate à Parasitic C in all R's. PAR B. Physical Layout: i. Unmatched R ≈ 7R X S Dog-Bone Structure For high resistances, use narrow serpentine resistors à Approximation: 10 corners can be roughly equivalent to 5 squares. Usually, R is 20–500 Ω/Square and tolerance is ±20%. S Page 5 Analog IC Design ii. Matched Eliminate corner No Corners mismatch. Reduce gradient Close Array effects. (square) Reduce Wide Strips edge mismatch. Dummy Strips RA = 2RB Common Centroid Average and match effects of two-dimensional gradients. Interdigitated Strips and Statistical Spread This way, resistors can match within 0.5% to 1%. Cross-coupling components into a modular/square array reduces maximum distance d and related nonlinear spread effects. MAX No corners Close Array Wide Strips Dummy Strips Common Centroid R ≡ R + R + R + R = R + R + R + R ≡ R A A1 A2 A3 A4 B1 B2 B3 B4 B Page 6 Analog IC Design 2.2. Capacitors: A. Theory of Operation An electric field ξ induces charge flow (i.e., current i ) FLD C and disconnected parallel plates accumulate charge q , C so the field (i.e., voltage v ) across the plates rises. C Capacitance C is how much charge q the device holds P C (i.e., permits) with a voltage v . C q dq " % C☎=vCC ∴ qC=C☎vC and iC≡ ❞✂C =CP#$❞❞✄✂C&' I.e.: An electric field ξ across parallel plates FLD holds (i.e., stores) charge (i.e., energy). Larger surface areas A = W L collect more charge and P P P less separation d intensifies the field and attracts more charge, P ∴ C rises with higher W and L and lower d . P P P P "A % !WL $ ε ≡ Permitivity CP=#$dPP&'εP="# dPP P&$kPε0=WPLPCε" W and L are design variables. P P dv dt 1 ΔiC causes ΔvC ∴ Capacitors offer impedance: ❩C≡ diC =C →sC C P P Parasitics Plates offer resistance à Parasitic R in all C's. P Page 7 Analog IC Design B. Physical Layout: Matched Top View C = C A B Overlap bottom plate to reduce edge variation to that of one plate à Top place sets C. Improve Matching Performance: Large Area and Dummy Strips (shown) Common Centroid (not shown) Statistical Spread (not shown) Cross-Coupled Devices (not shown) Typical tolerance is ±20% and matching can be within 0.5% to 1%. Thin oxide (TOX) separates top–bottom capacitor plates. Capacitor sits on thick field oxide (FOX). The same layers of dissimilar structures do not always align. Capacitor Matching Top Plate Misaligned To minimize mismatches from dissimilar peripheries like "etching effects", ensure peripheries match and align. Page 8 Analog IC Design 2.3. PN-Junction Diodes: (3) A. Theory of Operation (1) (2) (4) i = –i ∴ i = 0. DIFF DRIFT D Energy-Band Diagram Conduction Energy E : Electrons e– above E are loosely bound ∴ Available. C C Valence Energy E : e– below E are tightly bound ∴ Only holes h+ are available. V V No charge carriers across the "band-gap" energy E . BG Fermi Energy E : Highest probability of finding a charge carrier at 50%. F Probability of finding a charge carrier falls exponentially away from E . F Lightly doped regions are easier to deplete à Depletion width ∝ 1/N . DOPANTS Forward-biasing junction with v > 0 reduces barrier ∴ i ∝ exp(v ). D D D Raising v pushes holes toward depletion region ∴ d shortens. P DEP i –v Curve D D ⎡ ⎛v ⎞ ⎤ ✐D=■✆⎣⎢exp⎝⎜VDt⎠⎟−1⎦⎥∝AJ Reverse-biasing with v < 0 raises barrier ∴ i ≈ I ∝ Junction Area A à Near 0. D D S J Lowering v pulls holes away from depletion region ∴ d lengthens. P DEP Page 9
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