Fundamentals of Circuits and Filters The Circuits and Filters Handbook Third Edition Edited by Wai-Kai Chen Fundamentals of Circuits and Filters Feedback, Nonlinear, and Distributed Circuits Analog and VLSI Circuits Computer Aided Design and Design Automation Passive, Active, and Digital Filters The Circuits and Filters Handbook Third Edition Fundamentals of Circuits and Filters Edited by Wai-Kai Chen University of Illinois Chicago, U. S. A. CRC Press Taylor & Francis Group 6000 Broken Sound Parkway NW, Suite 300 Boca Raton, FL 33487-2742 © 2009 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-13: 978-1-4200-5887-1 (Hardcover) This book contains information obtained from authentic and highly regarded sources. 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TK7867.F835 2009 621.3815--dc22 2008048126 Visit the Taylor & Francis Web site at http://www.taylorandfrancis.com and the CRC Press Web site at http://www.crcpress.com Contents Preface..................................................................................................................................................vii Editor-in-Chief....................................................................................................................................ix Contributors ........................................................................................................................................xi SECTION I Mathematics 1 Linear Operators and Matrices.......................................................................................... 1-1 Cheryl B. Schrader andMichaelK. Sain 2 Bilinear Operators and Matrices........................................................................................ 2-1 Michael K.Sain and Cheryl B.Schrader 3 Laplace Transformation....................................................................................................... 3-1 JohnR. Deller, Jr. 4 Fourier Methods for Signal Analysis and Processing................................................... 4-1 W. KennethJenkins 5 z-Transform............................................................................................................................ 5-1 Jelena Kovačevi(cid:1)c 6 Wavelet Transforms............................................................................................................. 6-1 P. P.Vaidyanathan andIgor Djokovic 7 Graph Theory.........................................................................................................................7-1 Krishnaiyan Thulasiraman 8 Signal Flow Graphs...............................................................................................................8-1 Krishnaiyan Thulasiraman 9 Theory of Two-Dimensional Hurwitz Polynomials...................................................... 9-1 Hari C.Reddy 10 Application of Symmetry: Two-Dimensional Polynomials, Fourier Transforms, and Filter Design ..........................................................................10-1 Hari C.Reddy, I-Hung Khoo, and P.K. Rajan v vi Contents SECTION II Circuit Elements, Devices, and Their Models 11 Passive Circuit Elements....................................................................................................11-1 Stanisław Nowak,TomaszW. Postupolski, Gordon E.Carlson, and Bogdan M. Wilamowski 12 RF Passive IC Components..............................................................................................12-1 Tomas H.Lee, Maria del Mar Hershenson, Sunderarajan S. Mohan, Hirad Samavati,and C.Patrick Yue 13 Circuit Elements, Modeling, and Equation Formulation...........................................13-1 Josef A.Nossek 14 Controlled Circuit Elements.............................................................................................14-1 Edwin W. Greeneichand James F.Delansky 15 Bipolar Junction Transistor Amplifiers..........................................................................15-1 DavidJ.Comer andDonaldT. Comer 16 Operational Amplifiers ......................................................................................................16-1 DavidG.Nairn andSergioB. Franco 17 High-Frequency Amplifiers ..............................................................................................17-1 Chris Toumazouand Alison Payne SECTION III Linear Circuit Analysis 18 Fundamental Circuit Concepts........................................................................................18-1 JohnChoma,Jr. 19 Network Laws and Theorems..........................................................................................19-1 Ray R. Chen, Artice M. Davis, andMarwan A. Simaan 20 Terminal and Port Representations................................................................................20-1 JamesA. Svoboda 21 Signal Flow Graphs in Filter Analysis and Synthesis .................................................21-1 Pen-Min Lin 22 Analysis in the Frequency Domain.................................................................................22-1 Jiri Vlach and John Choma, Jr. 23 Tableau and Modified Nodal Formulations..................................................................23-1 Jiri Vlach 24 Frequency-Domain Methods............................................................................................24-1 PeterB. Aronhime 25 Symbolic Analysis ...............................................................................................................25-1 Benedykt S. Rodanskiand Marwan M. Hassoun 26 Analysis in the Time Domain..........................................................................................26-1 Robert W. Newcomb 27 State-Variable Techniques.................................................................................................27-1 Kwong S.Chao Index................................................................................................................................................IN-1 Preface Thepurposeofthisbookistoprovideinasinglevolumeacomprehensivereferenceworkcoveringthe broadspectrumofmathematicsforcircuitsandfilters;circuitselements,devices,andtheirmodels;and linear circuit analysis. This book is written and developed for the practicing electrical engineers in industry,government,andacademia.Thegoalistoprovidethemostup-to-dateinformationinthefield. Overtheyears,thefundamentalsofthefieldhaveevolvedtoincludeawiderangeoftopicsandabroad rangeofpractice.Toencompasssuchawiderangeofknowledge,thisbookfocusesonthekeyconcepts, models, and equations that enable the design engineer to analyze, design, and predict the behavior of large-scalecircuits.Whiledesignformulasandtablesarelisted,emphasisisplacedonthekeyconcepts andtheoriesunderlyingtheprocesses. Thisbookstressesfundamentaltheoriesbehindprofessionalapplicationsandusesseveralexamplesto reinforcethispoint.Extensivedevelopmentoftheoryanddetailsofproofshavebeenomitted.Thereader isassumedtohaveacertaindegreeofsophisticationandexperience.However,briefreviewsoftheories, principles,andmathematicsofsomesubjectareasaregiven.Thesereviewshavebeendoneconciselywith perception. The compilation of this book would not have been possible without the dedication and efforts of Professors Yih-Fang Huang and John Choma, Jr., and most of all the contributing authors. I wish to thankthemall. Wai-KaiChen vii Editor-in-Chief Wai-KaiChenisaprofessorandheademeritusoftheDepartment ofElectricalEngineeringandComputerScienceattheUniversityof Illinoisat Chicago.He received his BSand MS in electrical engin- eering at Ohio University, where he was later recognized as a distinguishedprofessor.HeearnedhisPhDinelectricalengineering attheUniversityofIllinoisatUrbana–Champaign. ProfessorChenhasextensiveexperienceineducationandindus- try and is very active professionally in the fields of circuits and systems.HehasservedasavisitingprofessoratPurdueUniversity, theUniversityofHawaiiatManoa,andChuoUniversityinTokyo, Japan. He was the editor-in-chief of the IEEE Transactions on Circuits and Systems, Series I and II, the president of the IEEE Circuits and Systems Society, and is the founding editor and the editor-in-chief of the Journal of Circuits, Systems and Computers. 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 the Japan Society for the Promotion of Science; the National Taipei University of Science and Technology Distinguished Alumnus Award; the Ohio University Alumni Medal of Merit for Distinguished Achievement in Engineering Education; the Senior University Scholar Award and the 2000FacultyResearchAwardfromtheUniversityofIllinoisatChicago;andtheDistinguishedAlumnus Awardfromthe UniversityofIllinois atUrbana–Champaign. He istherecipientof the GoldenJubilee Medal, the Education Award, and the Meritorious Service Award from the IEEE Circuits and Systems Society, and the Third Millennium Medal from the IEEE. He has also received more than a dozen honoraryprofessorshipawardsfrommajorinstitutionsinTaiwanandChina. AfellowoftheInstituteofElectricalandElectronicsEngineers(IEEE)andtheAmericanAssociation for the Advancement of Science (AAAS), Professor Chen is widely known in the profession for the following works: 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), TheoryofNets:FlowsinNetworks(Wiley-Interscience),TheElectricalEngineeringHandbook(Academic Press),andTheVLSIHandbook(CRCPress). ix