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Analog Layout Synthesis Helmut E. Graeb Editor Analog Layout Synthesis A Survey of Topological Approaches 123 Editor HelmutE.Graeb TechnischeUniversita¨tMu¨nchen Munich Germany [email protected] ISBN978-1-4419-6931-6 e-ISBN978-1-4419-6932-3 DOI10.1007/978-1-4419-6932-3 SpringerNewYorkDordrechtHeidelbergLondon LibraryofCongressControlNumber:2010935721 c SpringerScience+BusinessMedia,LLC2011 Allrightsreserved.Thisworkmaynotbetranslatedorcopiedinwholeorinpartwithoutthewritten permission of the publisher (Springer Science+Business Media, LLC, 233 Spring Street, New York, NY10013, USA),except forbrief excerpts inconnection with reviews orscholarly analysis. Usein connectionwithanyformofinformationstorageandretrieval,electronicadaptation,computersoftware, orbysimilarordissimilarmethodologynowknownorhereafterdevelopedisforbidden. Theuseinthispublicationoftradenames,trademarks,servicemarks,andsimilarterms,eveniftheyare notidentifiedassuch,isnottobetakenasanexpressionofopinionastowhetherornottheyaresubject toproprietaryrights. Printedonacid-freepaper SpringerispartofSpringerScience+BusinessMedia(www.springer.com) Preface Analogcomponentsappearon75%ofallchips,andcause40%ofthedesigneffort and50%ofthedesignerrorsdetectedafterfirstsiliconmeasurements,reportedEDA WeeklyonMarch21,2005.Duetoincreasingfunctionalcomplexityofsystem-on- chips, the difficulties in analog design and the lack of design automation support for analogcircuitscontinuallyincrease the bottleneckcharacter of analogcompo- nentsinchipdesign.Designmethodologyanddesignautomationforanalogcircuits thereforeisacrucialproblemforfuturesystem-on-chips. Eminentlycriticalisthelayoutsynthesispartoftheanalogdesignflow.Although there have been a lot of very good works from universities over the years, some ofwhichevenfoundtheirwayto commercialEDAtools,industrialapplicationof analoglayoutsynthesisisstillinitsinfancywhenitiscomparedtoitsdigitalcoun- terpart!TheindustrialpointofviewevensaysthatpracticableEDAtoolsforanalog layoutsynthesisdidnotexist. Butitseemsthatthissituationisabouttochange.Inthefaceofincreasingcir- cuit complexity and high performanceSoC designs, the once-sleepy analog EDA market is experiencing an increasing shift from single vendor solutions to design toolintegrationviaalliancesbetweenmanyplayers.Theattempttocreateaninter- platformreference,such as the InteroperablePDK Libraries(IPL)alliance, where analoglayoutsmadewithatoolcanbeimportederror-freetodifferentframeworks, isanexample.ManyEDAstart-upsaswellasmajorleadersarealreadyannounc- ing key automated layout tools for the analog designer intended to boost his/her productivity. Inthisexcitingscenario,academiacontinuestostrivefornew,moreefficient,and complementaryapproachesto this task and to the existing tools, and has recently producedsome veryinteresting new solutions. The intentionof this bookhas two parts.Ontheonehand,itsummarizesandpresentstheselatestresults.Ontheother hand,itisdedicatedtogiveanintroductiontoadvancedanaloglayoutmethodson thegraduatelevel. The book is structured in three parts. The first part with three chapters covers recentapproachestotopologicalplacementofanalogcircuits.Thesecondparttreats theproblemofrouting.Thethirdpartwiththreemorechaptersdealswithlayoutin the design flow, namely, with the problem of retargeting an existing layout for a new technology,with integrating layout in the sizing process, and with constraint managementinthedesignflow. v vi Preface Thefirstchapterstartswithanintroductiontothedifferentwaysofapproaching in CAD tools device-level placement problems for analog layout. It is elaborated how the structural representation of the layout in the algorithm is crucial for the efficiencyandefficacyoftheplacementprocess.Besidestheclassicalwayofusing absolutecoordinatesforthe moduleplacementandslicing structuresfortopologi- calrepresentations,whichencodetherelativepositioningbetweencells,itdescribes howthe sequence-pairandtree-basedtopologicalrepresentationcan beappliedto dramaticallyreducethesearchspacetothetinyfraction,whichsatisfiestheinherent symmetryconstraintsinanalogcircuits.Itfurtherdevelopssufficientconditionsto ensurethesymmetryconstraintsduringthesuccessivemovesofaplacementalgo- rithmand,basedontheseideas,presentsseveraltopologicalalgorithmsthatperform theexplorationprocessveryefficiently. Thesecondchapterfurtherstheideaspresentedinthe firstchapterandextends themtoahierarchicalmoduleclustering.Theanalogdevicescanbehierarchically clusteredintogroupsaccordingtomodels,circuitfunctionalities,orsignal/current flows. Following the B*-tree, a hierarchical B*-tree (HB*-tree) placement repre- sentationisdevelopedtomodelthiscircuithierarchyandsymmetryandproximity constraintsamongmodulesand acrossthe hierarchy.Thishierarchicalrepresenta- tionisfedintoaplacementalgorithmtogenerateoptimumdeviceplacementsthat meetalldevicelayoutconstraints.Performingasimulatedannealingalgorithm,the placementof the device modulesin differentdevice groupsbelongingto different clusteringhierarchiesissimultaneouslyoptimized. The third chapter first introduces a method to automatically derive the circuit hierarchyand the resulting symmetry,proximity,and matchingconstraintsfrom a netlist.Adeterministicalgorithmisthenpresentedthatcomputestheshapefunction ofdifferentaspectratiosofthecircuitplacementbyarecursivebottom-upapproach through the derived circuit hierarchy starting from basic modules such as current mirrors or differentialpairs. For each hierarchylevel, the shape function is deter- minedbycombiningtheplacementsofthenext-lowerhierarchy.Thesearestoredas so-calledenhancedshapefunctionsthatincludethecorrespondingB*-treesofeach individual shape. Algorithms are proposed to generate the vertical and horizontal sumoftwoB*-Treesofplacementswhileprovablycomplyingwiththeconstraints. As the algorithm bounds the enumeration according to the circuit hierarchy and theconstraints,itgeneratesresultsveryfast,whilebeingdeterministicwithoutany tuningparameter. The second part of the book deals with analog routing. It gives a tutorial on routingmethodsandcorrespondingplacementandroutingrepresentations,includ- ingconstraints,forinstance,forsymmetryorcrosstalk.Areviewofdifferentrouting strategiesandthecorrespondingstateoftheartfollows.Earlyroutingapproachesin- spiredfromdigitaldesign,cost-drivenapproaches,andparasitic-drivenapproaches (including,e.g.,performancesensitivities),aswellastheA*algorithmarecovered. The connection to placement through templates and other integration approaches is discussed afterward. Then, the partitioning of routing into global and detailed routing, as in digital design, is described. The chapter concludes with specialized routingapproachesforRFcircuitsandanalogarrays. Preface vii Thethirdpartofthebookaddressesanaloglayoutissuesarisingfromtheambient designflow. In Chap.5, the task of retargeting an existing layout, including placement and routing, is examined. Specific algorithms for layout retargetingmay be beneficial if the involved layout modifications are moderate or to extract and conserve the knowledgecontainedinalayout.Afterashortintroductiontothepreparatorysteps oflayer mapping,constraintgenerationanddevicerecognition,themain algorith- micstepofretargeting,i.e.,layoutcompaction,isdescribedindetail.Basedonthe linearprogrammingapproachtoitssolution,agraph-basedsimplexmethodispre- sented with full details. The different types of constraints, the complexity of the algorithm,andpracticalissuesarediscussedaswell. Chapter 6 is dedicated to the problemof integratinglayouteffectsinto the cir- cuitsizingprocess,toavoidunnecessaryiterationsbetweenelectricalandphysical synthesisasmuchaspossible.Thishasbeencalledparasitic-awaresynthesis.This chapterreachesfromtheverybasics(whatisit,andwhyandwhenisitreallynec- essary) to a practical implementation of this type of synthesis process. Different methods to carry it out as well as their pros, cons, and trade-offs (mainly effi- ciency vs. completiontime) will be explained. A technique will be presented that usesacombinationofsimulation-basedoptimization,procedurallayoutgeneration, exhaustive geometric evaluation algorithms, and several mechanisms for parasitic estimation, to comprehensivelyincorporate the layout-inducedparasitic into elec- tricalsynthesis. Chapter7concludesthebookwithadiscussionofthemanagementofthecrucial factor in analog layout — the constraints. It provides a problem formulation for theclassification,representation,transformation,andverificationofconstraintsina top-downdesignflow,aswellasaformulationofaconstraintengineeringsystem, includingitsimpactonthedesignflowanditsalgorithms. This bow from placementto routing to the design flow, drawn by the structure ofthebook,invitesthereadertostartfromthebeginningandreadonechapterafter theother.Atthesametime,thechaptersareself-containedandmaybeaccessedin- dividuallyandindependently.Inanywaysheorheapproachesthebook,thereader willgainadeepinsightintothetasksofanaloglayoutandintotheactualsolution approaches. Munich HelmutGraeb March2010 The Authors HazemAbbas (Hazem [email protected])receivedtheB.Sc.andM.Sc.degrees in 1983 and 1988, respectively, from Ain Shams University, Egypt and the Ph.D. degreein 1993fromQueen’sUniversity at Kingston,Canada all in Electricaland ComputerEngineering.HeheldapostdocpositionatQueen’sUniversityin1993.In 1995,heworkedasResearchFellowattheRoyalMilitaryCollegeatKingstonand then joined the IBM Toronto Lab as a Research Associate. He joined the Depart- mentofElectricalandComputerEngineeringatQueen’sUniversityasanAdjunct Assistant Professor in 1997–1998.He is now with the Department of Computers andSystemsEngineeringatAinShamsUniversity,Egypt,asaProfessoronCom- puter and Systems Engineering.Dr. Abbas is also working with Mentor Graphics Inc., Egypt as a Senior EngineeringManager. His research interests are in the ar- easofneuralnetworks,patternrecognition,evolutionarycomputations,andimage processingandtheirparallelandmulticoreimplementations.Healsoservesasthe PresidentoftheIEEESignalProcessingChapterinCairo. Florin Balasa ([email protected]) received the Ph.D. degree in computer science fromthePolytechnicalUniversityofBucharest,Bucharest,Romania,in1994,and thePh.D.degreeinelectricalengineeringfromtheKatholiekeUniversiteitLeuven, Leuven,Belgium,in1995. From 1990 to 1995, he was with the Interuniversity Microelectronics Center (IMEC), Leuven,Belgium. From 1995 to 2000,he was a Senior Design Automa- tionEngineerattheAdvancedTechnologyDivisionofConexantSystems(formerly RockwellSemiconductorSystems),NewportBeach,CA.HeiscurrentlyanAsso- ciateProfessorofComputerScienceattheSouthernUtahUniversity. Dr. Balasa was a recipient of the US National Science Foundation CAREER Award. Rafael Castro-Lo´pez ([email protected]) received the “Licenciado en F´ısica Electro´nica” degree (M.S. degree on Electronic Physics) and the “Doctor enCienciasF´ısicas” (Ph.D.degree)fromtheUniversityofSeville,Spain,in 1998 and2005,respectively.Since1998,hehasbeenworkingattheInstituteofMicro- electronicsofSeville(CSIC-IMSE-CNM)oftheSpanishMicroelectronicsCenter, where he now holds the position of Tenured Scientist. His research interests lie in the field of integrated circuits, especially design and computer-aided design ix

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