Power Distribution Networks in High Speed Integrated Circuits (Hardcover, 2004)

1. Introduction.- 1.1 Evolution of integrated circuit technology.- 1.2 Evolution of design objectives.- 1.3 The problem of power distribution.- 1.4 Deleterious effects of power distribution noise.- 1.4.1 Signal delay uncertainty.- 1.4.2 On-chip clock jitter.- 1.4.3 Noise margin degradation.- 1.4.4 Degradation of gate oxide reliability.- 1.5 Book outline.- 2. Inductive Properties of Electric Circuits.- 2.1 Definitions of inductance.- 2.1.1 Field energy definition.- 2.1.2 Magnetic flux definition.- 2.1.3 Partial inductance.- 2.1.4 Net inductance.- 2.2 Variation of inductance with frequency.- 2.2.1 Uniform current density approximation.- 2.2.2 Inductance variation mechanisms.- 2.2.3 Simple circuit model.- 2.3 Inductive behavior of circuits.- 2.4 Inductive properties of on-chip interconnect.- 2.5 Summary.- 3. Properties of On-Chip Inductive Current Loops.- 3.1 Introduction.- 3.2 Dependence of inductance on line length.- 3.3 Inductive coupling between two parallel loop segments.- 3.4 Application to circuit analysis.- 3.5 Summary.- 4. Electromigration.- 4.1 Physical mechanism of electromigration.- 4.2 Electromigration-induced mechanical stress.- 4.3 Steady state limit of electromigration damage.- 4.4 Dependence of electromigration lifetime on the line dimensions.- 4.5 Statistical distribution of electromigration lifetime.- 4.6 Electromigration lifetime under AC current.- 4.7 Electromigration in novel interconnect technologies.- 4.8 Designing for electromigration reliability.- 4.9 Summary.- 5. High Performance Power Distribution Systems.- 5.1 Physical structure of a power distribution system.- 5.2 Circuit model of a power distribution system.- 5.3 Output impedance of a power distribution system.- 5.4 A power distribution system with a decoupling capacitor.- 5.4.1 Impedance characteristics.- 5.4.2 Limitations of a single-tier decoupling scheme.- 5.5 Hierarchical placement of decoupling capacitance.- 5.6 Resonance in power distribution networks.- 5.7 Full impedance compensation.- 5.8 Case study.- 5.9 Design considerations.- 5.9.1 Inductance of the decoupling capacitors.- 5.9.2 Interconnect inductance.- 5.10 Limitations of the one-dimensional circuit model.- 5.11 Summary.- 6. On-Chip Power Distribution Networks.- 6.1 Styles of on-chip power distribution networks.- 6.1.1 Basic structure of on-chip power distribution networks.- 6.1.2 Improving the impedance characteristics of on-chip power distribution networks.- 6.1.3 Evolution of power distribution networks in Alpha microprocessors.- 6.2 Allocation of on-chip decoupling capacitance.- 6.2.1 Types of on-chip decoupling capacitance.- 6.2.2 Allocation strategies.- 6.2.3 On-chip switching voltage regulator.- 6.3 Die-package interface.- 6.4 Other considerations.- 6.5 Summary.- 7. Computer-Aided Design and Analysis.- 7.1 Design flow for on-chip power distribution networks.- 7.2 Linear analysis of power distribution networks.- 7.3 Modeling power distribution networks.- 7.4 Characterizing the power current requirements of on-chip circuits.- 7.5 Numerical methods for analyzing power distribution networks.- 7.6 Summary.- 8. Inductive Properties of On-Chip Power Distribution Grids.- 8.1 Power transmission circuit.- 8.2 Simulation setup.- 8.3 Grid types.- 8.4 Inductance versus line width.- 8.5 Dependence of inductance on grid type.- 8.5.1 Non-interdigitated versus interdigitated grids.- 8.5.2 Paired versus interdigitated grids.- 8.6 Dependence of Inductance on grid dimensions.- 8.6.1 Dependence of inductance on grid width.- 8.6.2 Dependence of inductance on grid length.- 8.6.3 Sheet inductance of power grids.- 8.6.4 Efficient computation of grid inductance.- 8.7 Summary.- 9. Variation of Grid Inductance with Frequency.- 9.1 Analysis approach.- 9.2 Discussion of inductance variation.- 9.2.1 Circuit models.- 9.2.2 Analysis of inductance variation.- 9.3 Summary.- 10. Inductance/Area/Resistance Tradeoffs.- 10.1 Inductance vs. resistance tradeoff under a constant grid area constraint.-