Design Automation for Timing-Driven Layout Synthesis, Softcover reprint of the original 1st ed. 1993 The Springer International Series in Engineering and Computer Science Series, Vol. 198

Moore's law [Noy77], which predicted that the number of devices in­ tegrated on a chip would be doubled every two years, was accurate for a number of years. Only recently has the level of integration be­ gun to slow down somewhat due to the physical limits of integration technology. Advances in silicon technology have allowed Ie design­ ers to integrate more than a few million transistors on a chip; even a whole system of moderate complexity can now be implemented on a single chip. To keep pace with the increasing complexity in very large scale integrated (VLSI) circuits, the productivity of chip designers would have to increase at the same rate as the level of integration. Without such an increase in productivity, the design of complex systems might not be achievable within a reasonable time-frame. The rapidly increasing complexity of VLSI circuits has made de- 1 2 INTRODUCTION sign automation an absolute necessity, since the required increase in productivity can only be accomplished with the use of sophisticated design tools. Such tools also enable designers to perform trade-off analyses of different logic implementations and to make well-informed design decisions.

1 Introduction.- 1.1 The Process of IC Design.- 1.2 Layout Styles.- 1.3 Timing-driven Layout.- 1.4 Outline of the Book.- 2 Delay Estimation.- 2.1 Introduction.- 2.2 Micromodeling — The RC Model.- 2.3 Macromodeling.- 2.4 Worst-case Delay Estimation.- 2.5 Delay Calculation at the Circuit Level.- 2.6 Posynomial Delay Modeling.- 2.7 A Case Study: iCONTRAST’s Timing Analyzer.- 2.8 Summary.- 3 Transistor Sizing Algorithms: Existing Approaches.- 3.1 Introduction.- 3.2 The TILOS Algorithm.- 3.3 The Method of Feasible Directions (MFD) Algorithm.- 3.4 Lagrangian Multiplier Approaches.- 3.5 Two-step Optimization.- 3.6 Other Approaches.- 3.7 Summary of Previous Approaches.- 4 A Convex Programming Approach to Transistor Sizing.- 4.1 Introduction.- 4.2 The Convex Programming Algorithm.- 4.3 Experimental Results.- 4.4 Summary.- 5 Global Routing Using Zero-one Integer Linear Programming.- 5.1 Introduction.- 5.2 Extracting Global Routing Information.- 5.3 Global Routing Phases.- 5.4 Global Routing on Medium-sized Arrays.- 5.5 Application to Custom Logic Layout.- 5.6 Handling Very Large Circuits.- 5.7 Runtime Complexity.- 5.8 Conclusion.- 6 Timing-driven CMOS Layout Synthesis.- 6.1 Introduction.- 6.2 A Methodology for Designing CMOS Standard Cells.- 6.3 The Metal-Metal Matrix (M3) Layout Style for Two level Technologies.- 6.4 iCGEN: A CMOS Layout Synthesis System for Three-level Metal Technology.