一种基于FPGA的高斯白噪声发生器的设计与实现

©1994-2010ChinaAcademicJournalElectronicPublishingHouse.Allrightsreserved.(100191)3:863(2006AA12Z3042007AA12Z302):2009205204:2009207228:FPGA90MHzCASRLFSR,,,,:;LFSR;CASR;;FPGA:TN91114:B:CN1121780(2009)0620036205,,,,[1]Tausworthe,[2]lagged-Fibonacci,[3]LFSR(LinearlyFeedbackShiftRegister),LFSR,,FPGA,[4],CASR(CellularAutomataShiftReg2ister)LFSR;,[3][5],Matlab,VerilogHDL,,1,111LFSR,,[3],©1994-2010ChinaAcademicJournalElectronicPublishingHouse.Allrightsreserved.[4]1,LFSR43bit,243-1,X43+X41+X20+X+1CASR37bit,237-1,CA90i(t+1)=i+1(t)^i-1(t)(1)CA150i(t+1)=i+1(t)^i(t)^i-1(t)(2),CA15028bit,CA90,^,32bit32,280-243-237+1,()Matlab,,,3223,,FPGA132112[3,5],X,Yf(y)Y,yi,f(yi)f(yi)X[xi,xi+1],xi+1-xi=f(yi)XYy=g(x),2,,,FPGAblockrom,,,2()23(),,23,,23,22MatlabMatlab,,23,23,,23,FPGA,50000,,3453(a),3(b),4,73306,FPGA©1994-2010ChinaAcademicJournalElectronicPublishingHouse.Allrightsreserved.©1994-2010ChinaAcademicJournalElectronicPublishingHouse.Allrightsreserved.[-4,4],,32FPGA[6][6],,,,16DA,213,13,X,y=+x,2y[2],,4,,yI(t)=Gau(t)cos(2ft+)yQ(t)=Gau(t)sin(2ft+)(3),Gau(t),f,,1142MHz,,IQAD9777,46142MHz93306,FPGA©1994-2010ChinaAcademicJournalElectronicPublishingHouse.Allrightsreserved.[1],,1FPGA[J]1,2007,23(7-2):1651671[2],1[J]1,2006,(8):1131141[3],,1FPGA[J]1,2008,10(11):55581[4]ThomasE1Tkacik1AHardwareRandomNumberGenerator[Z/OL]12002-8-141[5],1[J]1,2004,30(4):10121[6]AlteraCorp1StratixDeviceHandbook1May20071DesignandImplementationofaGaussianWhiteNoiseGeneratorBasedonFPGAAiYuxiong,KouYanhongAbstract:Thispaperexploresthealgorithm,architectureandimplementationofahighspeedandreal2timeGaussianwhitenoisegeneratorinFPGA1TherandomnumbersgeneratedbythecombinedgeneratorofCASRandLFSRhavetheadvantagesoflongperiod,goodbitindependenceperformanceanduniformdistribution1ThetransformationfromtheuniformdistributednoisetotheGaussiannoiseisrealizedbythemappingandpolygonalapproximationmethod,whichreducesthecomputationcomplexitytothemaximum1Thesimulationandpracticaltestresultsshowthatthedesigniscorrectandfeasibleanditcanbeusedinthecommunica2tionchannelsimulator1Keywords:Uniformdistribution;LFSR;CASR;Gaussianwhitenoise;FPGA[]1985,,1969,,04200911