Passive, Active, and Digital 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 Passive, Active, and Digital 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: 978-1-4200-5885-7 (Hardcover) This book contains information obtained from authentic and highly regarded sources. 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TK7872.F5P375 2009 621.3815’324--dc22 2008048117 Visit the Taylor & Francis Web site at http://www.taylorandfrancis.com and the CRC Press Web site at http://www.crcpress.com Contents Preface...................................................................................................................................................ix Editor-in-Chief....................................................................................................................................xi Contributors ......................................................................................................................................xiii SECTION I Passive Filters 1 General Characteristics of Filters ...................................................................................... 1-1 Andreas Antoniou 2 Approximation.......................................................................................................................2-1 ArticeM. Davis 3 Frequency Transformations................................................................................................ 3-1 JaimeRamirez-Angulo 4 Sensitivity and Selectivity.................................................................................................... 4-1 Igor M. Filanovsky 5 Passive Immittances and Positive-Real Functions......................................................... 5-1 Wai-Kai Chen 6 Passive Cascade Synthesis................................................................................................... 6-1 Wai-Kai Chen 7 Synthesis of LCM and RC One-Port Networks............................................................. 7-1 Wai-Kai Chen 8 Two-Part Synthesis by Ladder Development................................................................. 8-1 Wai-Kai Chen 9 Design of Resistively Terminated Networks................................................................... 9-1 Wai-Kai Chen 10 Design of Broadband Matching Networks....................................................................10-1 Wai-Kai Chen v vi Contents SECTION II Active Filters 11 Low-Gain Active Filters.....................................................................................................11-1 PhillipE. Allen, Benjamin J.Blalock, and Stephen W. Milam 12 Single-Amplifier Multiple-Feedback Filters ..................................................................12-1 F. WilliamStephenson 13 Multiple-Amplifier Biquads..............................................................................................13-1 NorbertJ.Fliege 14 The Current Generalized Immittance Converter Biquads ........................................14-1 Wasfy B. Mikhael 15 High-Order Filters ..............................................................................................................15-1 RolfSchaumann 16 Continuous-Time Integrated Filters...............................................................................16-1 RolfSchaumann 17 Switched-Capacitor Filters................................................................................................17-1 JoseSilva-Martinez and Edgar Sánchez-Sinencio SECTION III Digital Filters 18 FIR Filters .............................................................................................................................18-1 M.H.Er,Andreas Antoniou,YongChing Lim, andTapio Saramäki 19 IIR Filters..............................................................................................................................19-1 SawasdTantaratana,Chalie Charoenlarpnopparut, Phakphoom Boonyanant, and Yong Ching Lim 20 Finite Wordlength Effects.................................................................................................20-1 Bruce W.Bomar 21 VLSI Implementation of Digital Filters.........................................................................21-1 Joseph B. Evans andTimothyR. Newman 22 Two-Dimensional FIR Filters...........................................................................................22-1 Rashid Ansari andA. Enis Cetin 23 Two-Dimensional IIR Filters............................................................................................23-1 A. G.Constantinides and Xiaojian Xu 24 1-D Multirate Filter Banks................................................................................................24-1 Nick G.Kingsburyand David B. H.Tay 25 Directional Filter Banks.....................................................................................................25-1 JoseGerardoRosiles andMarkJ.T. Smith 26 Nonlinear Filtering Using Statistical Signal Models ...................................................26-1 KennethE. Barner, Tuncer C.Aysal, andGonzaloR. Arce Contents vii 27 Nonlinear Filtering for Image Denoising......................................................................27-1 Nasir M. Rajpoot, Zhen Yao, andRolandG.Wilson 28 Video Demosaicking Filters..............................................................................................28-1 Bahadir K. Gunturk and Yucel Altunbasak Index................................................................................................................................................IN-1 Preface As circuit complexity continues to increase, the microelectronic industry must possess the ability to quickly adapt to the market changes and new technology through automation and simulations. The purposeofthisbookistoprovideinasinglevolumeacomprehensivereferenceworkcoveringthebroad spectrum of filter design from passive, active, to digital. The book is written and developed for the practicingelectricalengineersandcomputerscientistsinindustry,government,andacademia.Thegoal istoprovidethemostup-to-dateinformationinthefield. Overtheyears,thefundamentalsofthefieldhaveevolvedtoincludeawiderangeoftopicsandabroad rangeofpractice.Toencompasssuchawiderangeofknowledge,thisbookfocusesonthekeyconcepts, models, and equations that enable the design engineer to analyze, design, and predict the behavior of large-scale systems that employ various types of filters. While design formulas and tables are listed, emphasisisplacedonthekeyconceptsandtheoriesunderlyingtheprocesses. Thisbookstressesfundamentaltheorybehindprofessionalapplicationsandusesseveralexamplesto 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 ProfessorRashidAnsariandDr.A.EnisCetin,andmostofallthecontributingauthors.Iwishtothank themall. Wai-KaiChen ix