On Optimal Interconnections for VLSI

On Optimal Interconnections for VLSI

Author: Andrew B. Kahng

Publisher: Springer Science & Business Media

Published: 2013-04-17

Total Pages: 301

ISBN-13: 1475723636

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On Optimal Interconnections for VLSI describes, from a geometric perspective, algorithms for high-performance, high-density interconnections during the global and detailed routing phases of circuit layout. First, the book addresses area minimization, with a focus on near-optimal approximation algorithms for minimum-cost Steiner routing. In addition to practical implementations of recent methods, the implications of recent results on spanning tree degree bounds and the method of Zelikovsky are discussed. Second, the book addresses delay minimization, starting with a discussion of accurate, yet algorithmically tractable, delay models. Recent minimum-delay constructions are highlighted, including provably good cost-radius tradeoffs, critical-sink routing algorithms, Elmore delay-optimal routing, graph Steiner arborescences, non-tree routing, and wiresizing. Third, the book addresses skew minimization for clock routing and prescribed-delay routing formulations. The discussion starts with early matching-based constructions and goes on to treat zero-skew routing with provably minimum wirelength, as well as planar clock routing. Finally, the book concludes with a discussion of multiple (competing) objectives, i.e., how to optimize area, delay, skew, and other objectives simultaneously. These techniques are useful when the routing instance has heterogeneous resources or is highly congested, as in FPGA routing, multi-chip packaging, and very dense layouts. Throughout the book, the emphasis is on practical algorithms and a complete self-contained development. On Optimal Interconnections for VLSI will be of use to both circuit designers (CAD tool users) as well as researchers and developers in the area of performance-driven physical design.


On Optimal Interconnections for VLSI

On Optimal Interconnections for VLSI

Author: Andrew B. Kahng

Publisher: Springer Science & Business Media

Published: 1994-12-31

Total Pages: 312

ISBN-13: 9780792394839

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On Optimal Interconnections for VLSI describes, from a geometric perspective, algorithms for high-performance, high-density interconnections during the global and detailed routing phases of circuit layout. First, the book addresses area minimization, with a focus on near-optimal approximation algorithms for minimum-cost Steiner routing. In addition to practical implementations of recent methods, the implications of recent results on spanning tree degree bounds and the method of Zelikovsky are discussed. Second, the book addresses delay minimization, starting with a discussion of accurate, yet algorithmically tractable, delay models. Recent minimum-delay constructions are highlighted, including provably good cost-radius tradeoffs, critical-sink routing algorithms, Elmore delay-optimal routing, graph Steiner arborescences, non-tree routing, and wiresizing. Third, the book addresses skew minimization for clock routing and prescribed-delay routing formulations. The discussion starts with early matching-based constructions and goes on to treat zero-skew routing with provably minimum wirelength, as well as planar clock routing. Finally, the book concludes with a discussion of multiple (competing) objectives, i.e., how to optimize area, delay, skew, and other objectives simultaneously. These techniques are useful when the routing instance has heterogeneous resources or is highly congested, as in FPGA routing, multi-chip packaging, and very dense layouts. Throughout the book, the emphasis is on practical algorithms and a complete self-contained development. On Optimal Interconnections for VLSI will be of use to both circuit designers (CAD tool users) as well as researchers and developers in the area of performance-driven physical design.


Handbook of Algorithms for Physical Design Automation

Handbook of Algorithms for Physical Design Automation

Author: Charles J. Alpert

Publisher: CRC Press

Published: 2008-11-12

Total Pages: 1024

ISBN-13: 1420013483

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The physical design flow of any project depends upon the size of the design, the technology, the number of designers, the clock frequency, and the time to do the design. As technology advances and design-styles change, physical design flows are constantly reinvented as traditional phases are removed and new ones are added to accommodate changes in


Building Bridges

Building Bridges

Author: Martin Grötschel

Publisher: Springer Science & Business Media

Published: 2008-09-04

Total Pages: 552

ISBN-13: 9783540852186

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This collection of articles offers an excellent view on the state of combinatorics and related topics. A number of friends and colleagues, all top authorities in their fields of expertise have contributed their latest research papers to this volume.


Low Power Design in Deep Submicron Electronics

Low Power Design in Deep Submicron Electronics

Author: W. Nebel

Publisher: Springer Science & Business Media

Published: 2013-06-29

Total Pages: 582

ISBN-13: 1461556856

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Low Power Design in Deep Submicron Electronics deals with the different aspects of low power design for deep submicron electronics at all levels of abstraction from system level to circuit level and technology. Its objective is to guide industrial and academic engineers and researchers in the selection of methods, technologies and tools and to provide a baseline for further developments. Furthermore the book has been written to serve as a textbook for postgraduate student courses. In order to achieve both goals, it is structured into different chapters each of which addresses a different phase of the design, a particular level of abstraction, a unique design style or technology. These design-related chapters are amended by motivations in Chapter 2, which presents visions both of future low power applications and technology advancements, and by some advanced case studies in Chapter 9. From the Foreword: `... This global nature of design for low power was well understood by Wolfgang Nebel and Jean Mermet when organizing the NATO workshop which is the origin of the book. They invited the best experts in the field to cover all aspects of low power design. As a result the chapters in this book are covering deep-submicron CMOS digital system design for low power in a systematic way from process technology all the way up to software design and embedded software systems. Low Power Design in Deep Submicron Electronics is an excellent guide for the practicing engineer, the researcher and the student interested in this crucial aspect of actual CMOS design. It contains about a thousand references to all aspects of the recent five years of feverish activity in this exciting aspect of design.' Hugo de Man Professor, K.U. Leuven, Belgium Senior Research Fellow, IMEC, Belgium


Timing

Timing

Author: Sachin Sapatnekar

Publisher: Springer Science & Business Media

Published: 2007-05-08

Total Pages: 301

ISBN-13: 1402080220

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Statistical timing analysis is an area of growing importance in nanometer te- nologies‚ as the uncertainties associated with process and environmental var- tions increase‚ and this chapter has captured some of the major efforts in this area. This remains a very active field of research‚ and there is likely to be a great deal of new research to be found in conferences and journals after this book is published. In addition to the statistical analysis of combinational circuits‚ a good deal of work has been carried out in analyzing the effect of variations on clock skew. Although we will not treat this subject in this book‚ the reader is referred to [LNPS00‚ HN01‚ JH01‚ ABZ03a] for details. 7 TIMING ANALYSIS FOR SEQUENTIAL CIRCUITS 7.1 INTRODUCTION A general sequential circuit is a network of computational nodes (gates) and memory elements (registers). The computational nodes may be conceptualized as being clustered together in an acyclic network of gates that forms a c- binational logic circuit. A cyclic path in the direction of signal propagation 1 is permitted in the sequential circuit only if it contains at least one register . In general, it is possible to represent any sequential circuit in terms of the schematic shown in Figure 7.1, which has I inputs, O outputs and M registers. The registers outputs feed into the combinational logic which, in turn, feeds the register inputs. Thus, the combinational logic has I + M inputs and O + M outputs.


Analysis and Design of Networks-on-Chip Under High Process Variation

Analysis and Design of Networks-on-Chip Under High Process Variation

Author: Rabab Ezz-Eldin

Publisher: Springer

Published: 2015-12-16

Total Pages: 156

ISBN-13: 3319257668

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This book describes in detail the impact of process variations on Network-on-Chip (NoC) performance. The authors evaluate various NoC topologies under high process variation and explain the design of efficient NoCs, with advanced technologies. The discussion includes variation in logic and interconnect, in order to evaluate the delay and throughput variation with different NoC topologies. The authors describe an asynchronous router, as a robust design to mitigate the impact of process variation in NoCs and the performance of different routing algorithms is determined with/without process variation for various traffic patterns. Additionally, a novel Process variation Delay and Congestion aware Routing algorithm (PDCR) is described for asynchronous NoC design, which outperforms different adaptive routing algorithms in the average delay and saturation throughput for various traffic patterns.


Compact Models and Performance Investigations for Subthreshold Interconnects

Compact Models and Performance Investigations for Subthreshold Interconnects

Author: Rohit Dhiman

Publisher: Springer

Published: 2014-11-07

Total Pages: 122

ISBN-13: 813222132X

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The book provides a detailed analysis of issues related to sub-threshold interconnect performance from the perspective of analytical approach and design techniques. Particular emphasis is laid on the performance analysis of coupling noise and variability issues in sub-threshold domain to develop efficient compact models. The proposed analytical approach gives physical insight of the parameters affecting the transient behavior of coupled interconnects. Remedial design techniques are also suggested to mitigate the effect of coupling noise. The effects of wire width, spacing between the wires, wire length are thoroughly investigated. In addition, the effect of parameters like driver strength on peak coupling noise has also been analyzed. Process, voltage and temperature variations are prominent factors affecting sub-threshold design and have also been investigated. The process variability analysis has been carried out using parametric analysis, process corner analysis and Monte Carlo technique. The book also provides a qualitative summary of the work reported in the literature by various researchers in the design of digital sub-threshold circuits. This book should be of interest for researchers and graduate students with deeper insights into sub-threshold interconnect models in particular. In this sense, this book will best fit as a text book and/or a reference book for students who are initiated in the area of research and advanced courses in nanotechnology, interconnect design and modeling.


Advanced Nanoscale ULSI Interconnects: Fundamentals and Applications

Advanced Nanoscale ULSI Interconnects: Fundamentals and Applications

Author: Yosi Shacham-Diamand

Publisher: Springer Science & Business Media

Published: 2009-09-19

Total Pages: 545

ISBN-13: 0387958681

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In Advanced ULSI interconnects – fundamentals and applications we bring a comprehensive description of copper-based interconnect technology for ultra-lar- scale integration (ULSI) technology for integrated circuit (IC) application. In- grated circuit technology is the base for all modern electronics systems. You can ?nd electronics systems today everywhere: from toys and home appliances to a- planes and space shuttles. Electronics systems form the hardware that together with software are the bases of the modern information society. The rapid growth and vast exploitation of modern electronics system create a strong demand for new and improved electronic circuits as demonstrated by the amazing progress in the ?eld of ULSI technology. This progress is well described by the famous “Moore’s law” which states, in its most general form, that all the metrics that describe integrated circuit performance (e. g. , speed, number of devices, chip area) improve expon- tially as a function of time. For example, the number of components per chip d- bles every 18 months and the critical dimension on a chip has shrunk by 50% every 2 years on average in the last 30 years. This rapid growth in integrated circuits te- nology results in highly complex integrated circuits with an increasing number of interconnects on chips and between the chip and its package. The complexity of the interconnect network on chips involves an increasing number of metal lines per interconnect level, more interconnect levels, and at the same time a reduction in the interconnect line critical dimensions.


Algorithms and Data Structures

Algorithms and Data Structures

Author: Frank Dehne

Publisher: Springer

Published: 2003-05-15

Total Pages: 496

ISBN-13: 3540446346

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This book constitutes the refereed proceedings of the 7th International Workshop on Algorithms and Data Structures, WADS 2001, held in Providence, RI, USA in August 2001. The 40 revised full papers presented were carefully reviewed and selected from a total of 89 submissions. Among the topics addressed are multiobjective optimization, computational graph theory, approximation, optimization, combinatorics, scheduling, Varanoi diagrams, packings, multi-party computation, polygons, searching, etc.