State-of-the-art methods and current perspectives on interconnect The irrepressible march toward smaller and faster integrated circuits has made interconnect a hot topic for semiconductor research. The effects of wire size, topology construction, and network design on system performance and reliability have all been thoroughly investigated in recent years. Interconnect Analysis and Synthesis provides CAD researchers and engineers with powerful, state-of-the-art tools for the analysis, design, and optimization of interconnect. It brings together a wealth of information previously scattered throughout the literature, explaining in depth available analysis techniques and presenting a range of CAD algorithms for synthesizing and optimizing interconnect. Along with examples and results from the semiconductor industry and 150 illustrations, this practical work features:
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Chung-Kuan Cheng is the author of Interconnect Analysis and Synthesis, published by Wiley.
John Lillis is the author of Interconnect Analysis and Synthesis, published by Wiley.
Shen Lin is the author of Interconnect Analysis and Synthesis, published by Wiley.
Norman Chang is the author of Interconnect Analysis and Synthesis, published by Wiley.
State-of-the-art methods and current perspectives on interconnect The irrepressible march toward smaller and faster integrated circuits has made interconnect a hot topic for semiconductor research. The effects of wire size, topology construction, and network design on system performance and reliability have all been thoroughly investigated in recent years. Interconnect Analysis and Synthesis provides CAD researchers and engineers with powerful, state-of-the-art tools for the analysis, design, and optimization of interconnect. It brings together a wealth of information previously scattered throughout the literature, explaining in depth available analysis techniques and presenting a range of CAD algorithms for synthesizing and optimizing interconnect. Along with examples and results from the semiconductor industry and 150 illustrations, this practical work features:
* Models for interconnect as well as devices and the impact of scaling trends
* Modern analysis techniques, from matrix reduction and moment matching to transmission-line analysis
* An overview of the effects of inductance on on-chip interconnect
* Flexible CAD algorithms that can be generalized for different needs, from buffer insertion to wire sizing to routing topology
* Emphasis on realistic problem formulations, addressing key design tradeoffs such as those between area and performance
State-of-the-art methods and current perspectives on interconnect The irrepressible march toward smaller and faster integrated circuits has made interconnect a hot topic for semiconductor research. The effects of wire size, topology construction, and network design on system performance and reliability have all been thoroughly investigated in recent years. Interconnect Analysis and Synthesis provides CAD researchers and engineers with powerful, state-of-the-art tools for the analysis, design, and optimization of interconnect. It brings together a wealth of information previously scattered throughout the literature, explaining in depth available analysis techniques and presenting a range of CAD algorithms for synthesizing and optimizing interconnect. Along with examples and results from the semiconductor industry and 150 illustrations, this practical work features:
* Models for interconnect as well as devices and the impact of scaling trends
* Modern analysis techniques, from matrix reduction and moment matching to transmission-line analysis
* An overview of the effects of inductance on on-chip interconnect
* Flexible CAD algorithms that can be generalized for different needs, from buffer insertion to wire sizing to routing topology
* Emphasis on realistic problem formulations, addressing key design tradeoffs such as those between area and performance
Preface..........................................................................xiAcknowledgments..................................................................xiii1 Introduction...................................................................11.1 Overview.....................................................................11.2 Book Organization............................................................22 Interconnect Models............................................................52.1 Technology Trends............................................................52.2 Device and Interconnect Scaling..............................................62.3 Interconnect Models..........................................................102.4 The Effect of Capacitive Coupling............................................222.5 The Effect of Inductive Coupling.............................................302.6 Transmission Line Model......................................................332.7 Power Dissipation............................................................342.8 Interconnect Reliability.....................................................343 Device Models..................................................................393.1 Introduction.................................................................393.2 Device I-V Characteristics...................................................393.3 General Format of Device Models..............................................413.4 Device Models in Explicit Expression.........................................423.5 Device Model Using a Table-Lookup Model......................................433.6 Effective Capacitance Model..................................................454 Interconnect Analysis..........................................................514.1 Introduction.................................................................514.2 Time Domain Analysis.........................................................524.3 S Domain Analysis............................................................564.4 Circuit Reduction via Matrix Approximation...................................594.5 Analysis Using Moment Matching...............................................684.6 Transmission Lines...........................................................855 Inductance and Inductive Coupling for On-Chip Interconnect.....................995.1 Introduction.................................................................995.2 On-Chip Inductance Consideration.............................................1255.3 On-Chip Design Solutions to Cope with Inductance Effects.....................1455.4 Summary......................................................................1576 Synthesis: Overview and Static Topology Optimization...........................1616.1 Introduction.................................................................1616.2 Overview of Interconnect Synthesis...........................................1626.3 Optimization of Static Routing Topologies....................................1706.4 Summary, Discussion, and Further Reading.....................................1896.5 Exercises....................................................................1907 Global Routing Topology Synthesis..............................................1937.1 Introduction.................................................................1937.2 Background and Overview......................................................1937.3 Preliminaries................................................................1967.4 Finding High-Quality Sink Permutations.......................................1997.5 Tree Construction for a Given Permutation....................................2027.6 Experiments..................................................................2117.7 Summary and Comments.........................................................2167.8 Further Reading..............................................................2197.9 Exercises....................................................................2208 Optimization of Multisource Nets...............................................2238.1 Introduction.................................................................2238.2 Preliminaries and Formulations...............................................2258.3 Linear Time Computation of ARD T Under Elmore................................2278.4 The Repeater Insertion Algorithm.............................................2298.5 Summary, Discussion, and Further Reading.....................................2388.6 Exercises....................................................................2399 Timing-Driven Maze Routing.....................................................2419.1 Introduction.................................................................2419.2 Assumptions..................................................................2429.3 Formulations.................................................................2439.4 Algorithms...................................................................2459.5 A Label-Setting Refinement...................................................2479.6 Example......................................................................2489.7 An Algorithm for Formulation 9.2.............................................2529.8 Incorporating Buffer Insertion...............................................2539.9 Complexity...................................................................2549.10 Summary and Comments........................................................2559.11 Exercises...................................................................257Index............................................................................259
The work presented in this book grew out of research projects initiated at both the University of California at San Diego and at Hewlett Packard Labs. Chapters 2 through 4 were developed largely as the product of graduate courses and research conducted at UCSD by Chung-Kuan Cheng. Chapter 5 embodies research conducted at HP Labs. Chapters 6 through 9 grew largely out of John Lillis' Ph.D. work at UCSD, his later work at UC Berkeley, and continuing work at the University of Illinois at Chicago.
We want to make clear that the book is by no means intended to be comprehensive. The absence of coverage of work by other researchers should by no means diminish their contributions. Several research groups have made significant contributions in the field and the reader is encouraged to investigate their works. Key contributors to progress in interconnect-oriented design automation include Jason Cong and Andrew Kahng (UCLA), Gabriel Robins (U. Virginia), Majid Sarrafzadeh (NWU), Martin Wong (UT Austin), Margaret Marek-Sadowska (UCSB), Wayne Dai (UCSC), Larry Pileggi (CMU), Sachin Sapatnekar (U. Minnesota), Massoud Pedram (USC), Eby Friedman (U. Rochester), Kurt...
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