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The
VLSI
Handbook
Second Edition

4199_C000.fm Page i Tuesday, November 14, 2006 5:30 PM

The Electrical Engineering Handbook Series

Series Editor

Richard C. Dorf

University of California, Davis

Titles Included in the Series

The Handbook of Ad Hoc Wireless Networks,

Mohammad Ilyas

The Avionics Handbook, Second Edition,

Cary R. Spitzer

The Biomedical Engineering Handbook

,

Third Edition,



Joseph D. Bronzino

The Circuits and Filters Handbook, Second Edition

, Wai-Kai Chen

The Communications Handbook, Second Edition,

Jerry Gibson

The Computer Engineering Handbook,

Vojin G. Oklobdzija

The Control Handbook

, William S. Levine

The CRC Handbook of Engineering Tables,

Richard C. Dorf

The Digital Avionics Handbook

, Second Edition Cary R. Spitzer

The Digital Signal Processing Handbook

, Vijay K. Madisetti and Douglas Williams


The Electrical Engineering Handbook

,

Second Edition,

Richard C. Dorf

The Electric Power Engineering Handbook

, Leo L. Grigsby

The Electronics Handbook

,

Second Edition,

Jerry C. Whitaker

The Engineering Handbook, Third Edition

, Richard C. Dorf

The Handbook of Formulas and Tables for Signal Processing

, Alexander D. Poularikas

The Handbook of Nanoscience, Engineering, and Technology,


William A. Goddard, III,
Donald W. Brenner, Sergey E. Lyshevski, and Gerald J. Iafrate

The Handbook of Optical Communication Networks,

Mohammad Ilyas and Hussein T. Mouftah

The Industrial Electronics Handbook

, J. David Irwin

The Measurement, Instrumentation, and Sensors Handbook

, John G. Webster

The Mechanical Systems Design Handbook

, Osita D.I. Nwokah and Yidirim Hurmuzlu

The Mechatronics Handbook

, Robert H. Bishop

The Mobile Communications Handbook

,

Second Edition


, Jerry D. Gibson

The Ocean Engineering Handbook

, Ferial El-Hawary

The RF and Microwave Handbook

, Mike Golio

The Technology Management Handbook

, Richard C. Dorf

The Transforms and Applications Handbook

,

Second Edition,

Alexander D. Poularikas

The VLSI Handbook

,

Second Edition

, Wai-Kai Chen


4199_C000.fm Page ii Tuesday, November 14, 2006 5:30 PM
Edited by
Wai-Kai Chen
University of Illinois
Chicago, USA
CRC Press is an imprint of the
Taylor & Francis Group, an informa business
Boca Raton London New York

4199_C000.fm Page iii Tuesday, November 14, 2006 5:30 PM

CRC Press
Taylor & Francis Group
6000 Broken Sound Parkway NW, Suite 300
Boca Raton, FL 33487-2742
© 2007 by Taylor & Francis Group, LLC
CRC Press is an imprint of Taylor & Francis Group, an Informa business
No claim to original U.S. Government works
Printed in the United States of America on acid-free paper
10 9 8 7 6 5 4 3 2 1
International Standard Book Number-10: 0-8493-4199-X (Hardcover)
International Standard Book Number-13: 978-0-8493-4199-1 (Hardcover)
This book contains information obtained from authentic and highly regarded sources. Reprinted material is quoted with
permission, and sources are indicated. A wide variety of references are listed. Reasonable efforts have been made to publish
reliable data and information, but the author and the publisher cannot assume responsibility for the validity of all materials
or for the consequences of their use.
No part of this book may be reprinted, reproduced, transmitted, or utilized in any form by any electronic, mechanical, or other
means, now known or hereafter invented, including photocopying, microfilming, and recording, or in any information storage
or retrieval system, without written permission from the publishers.
For permission to photocopy or use material electronically from this work, please access www.copyright.com (http://

www.copyright.com/) or contact the Copyright Clearance Center, Inc. (CCC) 222 Rosewood Drive, Danvers, MA 01923,
978-750-8400. CCC is a not-for-profit organization that provides licenses and registration for a variety of users. For
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Trademark Notice:

Product or corporate names may be trademarks or registered trademarks, and are used only for
identification and explanation without intent to infringe.

Visit the Taylor & Francis Web site at

and the CRC Press Web site at

Library of Congress Cataloging-in-Publication Data

The VLSI handbook / edited by Wai-Kai Chen.—2nd ed.
p. cm.—(Electrical engineering handbook series; 38)
Includes bibliographical references and index.
ISBN 0-8493-4199-X
1. Integrated circuits—Very large scale integration. I. Chen, Wai-Kai, 1936- II. Title. III. Series.
TK7874.75.V573 2006
621.39´5—dc22 2006050477

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v

Preface

We are most gratified to find that the first edition of


The VLSI Handbook

(2000) was well received and
is widely used. Thus, we feel that our original goal of providing in-depth professional-level coverage of
VLSI technology was, indeed, worthwhile. Seven years is a short time in terms of development of science
and technology; however as this handbook shows, momentous changes have occurred during this period,
necessitating not only the updating of many chapters of the handbook, but more startling, the addition
and expansion of many topics. Significant examples are low-power electronics and design, testing of
digital systems, VLSI signal processing, and design languages and tools to name a few of the more
prominent additions.

Purpose

The VLSI Handbook

provides in a single volume a comprehensive reference work covering the broad
spectrum of VLSI technology. It is written and developed for practicing electrical engineers in industry,
government, and academia. The goal is to provide the most up-to-date information in integrated
circuits (IC) technology, devices and their models, circuit simulations, low-power electronics
and design, amplifiers, analog and logic circuits, memory, registers and system timing, microprocessor
and ASIC, test and testability, design automation, VLSI signal processing, and design languages and
tools. The handbook is not an all-encompassing digest of everything taught within an electrical
engineering curriculum on VLSI technology. Rather, it is the engineer’s first choice in looking for a
solution. Therefore, full references to other sources of contributions are provided. The ideal reader is
a BS level engineer with a need for a one-source reference to keep abreast of new techniques and
procedures as well as review standard practices.

Background


The handbook stresses fundamental theory behind professional applications. To do so, it is reinforced
with frequent examples. Extensive development of theory and details of proofs have been omitted. The
reader is assumed to have a certain degree of sophistication and experience. However, brief reviews of
theories, principles, and mathematics of some subject areas are given. These reviews have been done
concisely with perception. The handbook is not a textbook replacement, but rather a reinforcement and
reminder of material learned as a student. Therefore, important advancement and traditional as well as
innovative practices are included.
Since most of the professional electrical engineers graduated before powerful personal computers were
widely available, many computational and design methods may be new to them. Therefore, computers
and software use are thoroughly covered. Not only does the handbook use traditional references to cite
sources for the contributions, but it also contains all

relevant

sources of information and tools that would

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vi

Preface

assist the engineer in performing his/her job. This may include sources of software, databases, standards,
seminars, conferences, etc.

Organization

Over the years, the fundamentals of VLSI technology have evolved to include a wide range of topics and
a broad range of practice. To encompass such a wide range of knowledge, the handbook focuses on the
key concepts, models, and equations that enable the electrical engineer to analyze, design, and predict

the behavior of very large-scale integrated circuits. While design formulas and tables are listed, emphasis
is placed on the key concepts and theories underlying the applications.
The information is organized into 13 major sections, which encompass the field of VLSI technology.
Each section is divided into chapters, each of which is written by a leading expert in the field to enlighten
and refresh knowledge of the mature engineer, and to educate the novice. Each section contains intro-
ductory material, leading to the appropriate applications. To help the reader, each article includes two
important and useful categories: defining terms and references.

Defining terms

are key definitions and
the first occurrence of each term defined is indicated in italic type in the text. The

references

provide a
list of useful books and articles for further reading and for additional information on the topic.

Locating Your Topic

Numerous avenues of access to information contained in the handbook are provided. A complete table
of contents is presented at the beginning of the book. In addition, an individual table of contents precedes
each of the 13 sections. Finally, each chapter begins with its own table of contents. The reader is urged
to review these tables of contents to become familiar with the structure, organization, and content of the
book. For example, see Section VIII: Microprocessor and ASIC, then Chapter 64: Microprocessor Design
Verification, and then Section 64.2: Design Verification Environment. This tree-like structure enables the
reader to move up the tree to locate information on the topic of interest.
A combined subject and author index has been compiled to provide means of accessing information.
It can also be used to locate definitions; the page on which the definition appears for each key defining
term is given in this index.


The VLSI Handbook

is structured to provide answers to most inquiries and to direct inquirer to further
sources and references. We trust that it will meet your needs.

Acknowledgments

The compilation of this book would not have been possible without the dedication and efforts of the
section editors, the publishers, and most of all the contributing authors. I wish to thank all of them and
also my wife, Shiao-Ling, for her patience and understanding.

Wai-Kai Chen

Editor-in-Chief

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vii

Editor-in-Chief

Wai-Kai Chen

is professor and head emeritus of the Department of Electrical Engineering and Computer
Science at the University of Illinois at Chicago. He received his BS and MS in electrical engineering from
Ohio University, where he was later recognized as a distinguished
professor. He earned his PhD in electrical engineering from the
University of Illinois at Urbana-Champaign.
Professor Chen has extensive experience in education and industry

and is very active professionally in the fields of circuits and systems.
He has served as visiting professor at Purdue University, University of
Hawaii at Manoa, and Chuo University in Tokyo, Japan. He was editor
of the

IEEE Transactions on Circuits and Systems, Series I and II,

pre-
sident of the IEEE Circuits and Systems Society, and is the founding
editor and editor-in-chief of the

Journal of Circuits, Systems and Com-
puters

. He received the Lester R. Ford Award from the Mathematical
Association of America, the Alexander von Humboldt Award from
Germany, the JSPS Fellowship Award from Japan Society for the Pro-
motion of Science, the National Taipei University of Technology
Distinguished Alumnus Award, the Ohio University Alumni Medal of
Merit for Distinguished Achievement in Engineering Education, the
Senior University Scholar Award and the 2000 Faculty Research Award
from University of Illinois at Chicago, and the Distinguished Alumnus Award from the University of
Illinois at Urbana-Champaign. He is also the recipient of the Golden Jubilee Medal, the Education Award,
the Meritorious Service Award from IEEE Circuits and Systems Society, and the Third Millennium Medal
from the IEEE. He has also received more than a dozen honorary professorship awards from major
institutions in Taiwan and China.
A fellow of the Institute of Electrical and Electronics Engineers and the American Association for the
Advancement of Science, Professor Chen is widely known in the profession for his published works which
include


Applied Graph Theory

(North-Holland),

Theory and Design



of Broadband Matching Networks

(Pergamon Press),

Active Network and Feedback Amplifier Theory

(McGraw-Hill),

Linear Networks and
Systems

(Brooks/Cole),

Passive and Active Filters: Theory and Implements

(John Wiley),

Theory of Nets:
Flows in Networks

(Wiley-Interscience),


The Circuits and Filters Handbook

(CRC Press), and

The Electrical
Engineering Handbook

(Elsevier Academic Press).

Wai-Kai Chen

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ix

Contributors

Ramachandra Achar

Department of Electronics
Carleton University
Ottawa, Ontario, Canada

Arshad Ahmed

DSP R&D
Texas Instruments, Inc.
Dallas, Texas


Jonathan A. Andrews

Department of Electrical and
Computer Engineering
Virginia Commonwealth
University
Richmond, Virginia

James H. Aylor

School of Engineering and
Applied Science
University of Virginia
Charlottesville, Virginia

R. Jacob Baker

Department of Electrical and
Computer Engineering
University of Idaho at Boise
Boise, Idaho

Andrea Baschirotto

Department of Innovation
Engineering
University of Lecce
Lecce, Italy


Charles R. Baugh

C. R. Baugh and Associates
Seattle, Washington

Magdy Bayoumi

The Center for Advanced
Computer Studies
University of Louisiana
Lafayette, Louisiana

David Blaauw

Department of Electrical
Engineering and Computer
Science
University of Michigan
Ann Arbor, Michigan

Victor Boyadzhyan

Jet Propulsion Laboratory
Pasadena, California

Alison Burdett

Toumaz Technology Ltd.
Abingdon, UK


Wai-Kai Chen

University of Illinois
Chicago, Illinois

Kuo-Hsing Cheng

Tamkang University
Tamkang, Taiwan

Bi-Shiou Chiou

Department of Electronics
Engineering
National Chiao Tung University
Hsinchu, Taiwan

John Choma, Jr.

Department of Electrical
Engineering/Electrophysics
University of Southern California
Los Angeles, California

Amy Hsiu-Fen Chou

National Tsing-Hua
University
Hsinchu, Taiwan


Moon Jung Chung

Department of Computer
Science
Michigan State University
East Lansing, Michigan

David J. Comer

Department of Electrical and
Computer Engineering
Brigham Young University
Provo, Utah

Donald T. Comer

Department of Electrical and
Computer Engineering
Brigham Young University
Provo, Utah

Daniel A. Connors

Department of Computer
Science
University of Colorado
Boulder, Colorado


Donald R. Cottrell


Silicon Integration
Initiative, Inc.
Austin, Texas

John D. Cressler

School of Electrical and
Computer Engineering
Georgia Institute of Technology
Atlanta, Georgia

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x

Contributors

Sorin Cristoloveanu

Institute of Microelectronics,
Electromagnetism and
Photonics
Grenoble, France

Wouter De Cock

Katholieke Universiteit Leuven
Leuven-Heverlee, Belgium


Abhijit Dharchoudhury

Motorola, Inc.
Austin, Texas

Robert P. Dick

Department of Electrical
Engineering and Computer
Science
Northwestern University
Evanston, Illinois

Vassil S. Dimitrov

Department of Electrical and
Computer Engineering
University of Calgary
Calgary, Alberta,
Canada

Donald B. Estreich

Microwave Technology
Division
Agilent Technologies
Santa Rosa, California

John W. Fattaruso


Texas Instruments, Inc.
Dallas, Texas

Ayman A. Fayed

Texas Instruments, Inc.
Dallas, Texas

Eby G. Friedman

Department of Electrical
and Computer Engineering
University of Rochester
Rochester, New York

Shantanu Ganguly

Intel Corporation
Austin, Texas

Aman Gayasen

Department of Computer
Science and Engineering
Pennsylvania State University
University Park, Pennsylvania

Jan V. Grahn

School of Information

and Communication
Technology
KTH, Royal Institute of
Technology
Kista, Sweden

Flavius Gruian

Department of Computer
Science
Lund University
Sweden

Maria del Mar Hershenson

Stanford University
Stanford, California

Charles Ching-Hsiang Hsu

National Tsing-Hua
University
Hsinchu, Taiwan

Jen-Sheng Hwang

National Science Council
Taipei, Taiwan

Wen-mei W. Hwu


University of Illinois at
Urbana-Champaign
Urbana, Illinois

Kazumi Inoh

Center for Semiconductor
Research and
Development
Semiconductor Company
Toshiba Corporation
Yokohama, Japan

Ali Iranli

Electrical Engineering
Department
University of Southern
California
Los Angeles, California

K. Irick

Department of Computer
Science and
Engineering
Pennsylvania State
University
University Park,

Pennsylvania

M. J. Irwin

Department of Computer
Science and Engineering
Pennsylvania State University
University Park, Pennsylvania

Hidemi Ishiuchi

Center for Semiconductor
Research and Development
Semiconductor Company
Toshiba Corporation
Yokohama, Japan

Mohammed Ismail

Department of Electrical
and Computer
Engineering
Ohio State University
Columbus, Ohio

Hiroshi Iwai

Frontier Collaborative
Research Center
Tokyo Institute of Technology

Yokohama, Japan

Vikram Iyengar

IBM Microelectronics
Essex Junction, Vermont

W. Kenneth Jenkins

Department of Computer
Science and Engineering
Pennsylvania State University
University Park, Pennsylvania

Jeff Jessing

Department of Electrical
and Computer
Engineering
Boise State University
Boise, Idaho

Niraj K. Jha

Department of Electrical
Engineering
Princeton University
Princeton, New Jersey

Graham A. Jullien


Department of Electrical
and Computer
Engineering
University of Calgary
Calgary, Alberta, Canada

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Contributors

xi

Dimitri Kagaris

Department of Electrical
and Computer Engineering
Southern Illinois University
Carbondale, Illinois
Steve M. Kang
University of California at
Santa Cruz
Santa Cruz, California
Nick Kanopoulos
Atmel Corporation
Morrisville, North Carolina
Naghmeh Karimi
Electrical and Computer
Engineering
University of Tehran

Tehran, Iran
Tanay Karnik
Strategic CAD Labs
Intel Corporation
Hillsboro, Oregon
Yasuhiro Katsumata
Engineering Planning Division
Semiconductor Company
Toshiba Corporation
Kawasaki, Japan
Ali Keshavarzi
Circuit Research Labs
Intel Corporation
Hillsboro, Oregon
Heechul Kim
Department of Computer
Science and Engineering
Hankuk University of Foreign
Studies
Yongin, Kyung Ki-Do, Korea
Jihong Kim
School of Computer
Science and Engineering
Seoul National University
Seoul, Korea
Hideki Kimijima
System LSI Division II
Semiconductor Company
Toshiba Corporation
Kitakyushu, Japan

Robert H. Klenke
Department of Electrical
and Computer
Engineering
Virginia Commonwealth
University
Richmond, Virginia
Ivan S. Kourtev
Department of Electrical and
Computer Engineering
University of Pittsburgh
Pittsburgh, Pennsylvania
Seok-Jun Lee
DSP R&D
Texas Instruments, Inc.
Dallas, Texas
Thomas H. Lee
Stanford University
Stanford, California
Harry W. Li
Formerly with the University
of Idaho at Boise
Yijun Li
The Center for Advanced
Computer Studies
University of Louisiana
Lafayette, Louisiana
Chi-Sheng Lin
Department of Electrical
Engineering

National Cheng Kung University
Tainan, Taiwan
Frank Ruei-Ling Lin
National Tsing-Hua University
Hsinchu, Taiwan
Bin-Da Liu
Department of Electrical
Engineering
National Cheng Kung
University
Tainan, Taiwan
John Lockwood
Department of Computer
Science and Engineering
Washington University
St. Louis, Missouri
Stephen I. Long
Department of Electrical and
Computer Engineering
University of California
Santa Barbara, California
Ashraf Lotfi
Enpirion, Inc.
Bridgewater, New Jersey
B. Gunnar Malm
School of Information and
Communication Technology
KTH, Royal Institute of
Technology
Kista, Sweden

Mohammad Mansour
Department of Electrical and
Computer Engineering
American University of Beirut
Beirut, Lebanon
Diana Marculescu
Department of Electrical and
Computer Engineering
Carnegie Mellon University
Pittsburgh, Pennsylvania
Radu Marculescu
Department of Electrical and
Computer Engineering
Carnegie Mellon University
Pittsburgh, Pennsylvania
Martin Margala
Electrical and Computer
Engineering Department
University of Massachusetts
Lowell, Massachusetts
Shin-ichi Minato
NTT Network Innovation
Laboratories
Kanagawa, Japan
Shahrzad Mirkhani
Electrical and Computer
Engineering Department
University of Tehran
Tehran, Iran
Sunderarajan S. Mohan

Stanford University
Stanford, California
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