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1、FPGAIMPLEMENTATIONSOFNEURALNETWORKSFPGAImplementationsofNeuralNetworksEditedbyAMOSR.OMONDIFlindersUniversity,Adelaide,SA,AustraliaandJAGATHC.RAJAPAKSENanyangTecnologicalUniversity,SingaporeAC.I.P.CataloguerecordforthisbookisavailablefromtheLibraryofCongress.ISBN-100-387-2
2、8485-0(HB)ISBN-13978-0-387-28485-9(HB)ISBN-100-387-28487-7(e-book)ISBN-13978-0-387-28487-3(e-book)PublishedbySpringer,P.O.Box17,3300AADordrecht,TheNetherlands.www.springer.comPrintedonacid-freepaperAllRightsReserved©2006SpringerNopartofthisworkmaybereproduced,storedinaret
3、rievalsystem,ortransmittedinanyformorbyanymeans,electronic,mechanical,photocopying,microfilming,recordingorotherwise,withoutwrittenpermissionfromthePublisher,withtheexceptionofanymaterialsuppliedspecificallyforthepurposeofbeingenteredandexecutedonacomputersystem,forexclus
4、iveusebythepurchaserofthework.PrintedintheNetherlands.ContentsPrefaceix1FPGANeurocomputers1AmosR.Omondi,JagathC.RajapakseandMariuszBajger1.1.Introduction11.2.Reviewofneural-networkbasics31.3.ASICvs.FPGAneurocomputers91.4.Parallelisminneuralnetworks121.5.XilinxVirtex-4FPGA
5、131.6.Arithmetic151.7.Activation-functionimplementation:unipolarsigmoid211.8.Performanceevaluation321.9.Conclusions34References342ArithmeticprecisionforimplementingBPnetworksonFPGA:Acasestudy37MedhatMoussaandShawkiAreibiandKristianNichols2.1.Introduction372.2.Background39
6、2.3.Architecturedesignandimplementation432.4.Experimentsusinglogical-XORproblem482.5.Resultsanddiscussion502.6.Conclusions55References563FPNA:Conceptsandproperties63BernardGirau3.1.Introduction633.2.ChoosingFPGAs653.3.FPNAs,FPNNs713.4.Correctness863.5.Underparameterizedco
7、nvolutionsbyFPNNs883.6.Conclusions96References97vviFPGAImplementationsofneuralnetworks4FPNA:Applicationsandimplementations103BernardGirau4.1.SummaryofChapter31044.2.Towardssimplifiedarchitectures:symmetricbooleanfunctionsbyFPNAs1054.3.Benchmarkapplications1094.4.Otherappli
8、cations1134.5.GeneralFPGAimplementation1164.6.SynchronousFPNNs1204.7.Implementationsofsynchronou