一种强噪声背景下的微弱信号检测的新方法

28120071ACTAMETROLOGICASINICAVol.28,1January,20071,1,2,3(11,110004;21,066004;31,114044):,,,,,,,:;;;;;:TB97:A:100021158(2007)0120070204AnAlgorithmforWeakSignalDetectioninStrongNoiseEnvironmentZHANGWei1,WANGXu1,GELin2lin2,ZHANGZhuo3(11InstituteofBiomedicalEngineering,NortheasternUniversity,Shenyang,Liaoning110004,China;21CollegeofEconomyAdministration,YanshanUniversity,Qinhuangdao,Hebei066004,China;31AnshanUniversityofScienceandTechnology,Anshan,Liaoning114044,China)Abstract:Algorithmsofconstructingwaveletfiltersbasedonadaptivefilteringalgorithmsarestudiedwithemphasisonhowtoconstructthesub2bandadaptivewaveletfiltersfordetectingweaksignalsfromahighnoisyenvironment.Wavelettransform(WT)andadaptivefilteringareusedtodetectweaksignals.Analgorithmforelectrocardio2graphic(ECG)signaldetectionwithWTbasedonadaptivematchedfilterisproposed.Theresultsshowthatthismethodcanfurtherimprovethedetectioncapability.Thealgorithmisaquiteeffectivemethodfortheextractionfeaturesofweaksignalsandimprovingtheratioofsignaltonoise.Keywords:Metrology;Weaksignaldetection;Wavelettransform;Filterbanks;ECGsignal;De2noising:2005204201;:2005206215:(59977024):(1972-),,,,1,,,,,,,,,[1],,,,,,,;,,[2,3]f(t),f(t)(t)(T)H()G(),,[4],,,,[5,6],,ECG,,,,,2,,11x(k)d(k),(),,,,=M-1i=0E|ei(m)|2(1),,LMS,:ei(m)=‰di(m)-wTi(m)i(m)wi(m+1)=wi(m)+2+Ns2i(m)i(m)(2)Nsi;;ei(m)i;i(m)i;2i(m)=(1-)2i(m-1)+|i(m)|21(00.1)LMS,013,Fi(k),(i=0,1,,M-1)F0(k)Fi(k)(i=1,2,,M-2)FM-1(k),,,,x(k)d(k)Mallat:cjn=2-12kcj+1khk-2ndjn=2-12kcj+1kgk-2n(3){hn},{gn},Cj={cjn},Dj={djn},H:l2l2,(3),(HCj+1)n=2-12kcj+1khk-2n,G:l2l2,(3),17281:(GCj+1)n=2-12kcj+1kgk-2n,(4)2:22:Cj=Hm-jCM,Dj=GHM-j+1CMCMHM-jCj,CMHM-j+1GDj2,CM,MallatCjDj(0jM-1),CMN,N-1CM-1DM-1N2,;{hn}{gn}A;,CMCM-1DM-12ANP2;M-1M-22ANP4;,CjDj(0jM-1)2AN12+122++12M;,Mallat,,x(k)d(k),y(k)x(k),,Mallat4Coif3,ECGLAB210;,,510mV,0105100Hz,,:;;;,1000Hz,50Hz25250Hz12V4,3,,,V4,0101,15693,,d(n)y(n)0100573,6()V44,5,,PQRST,32720071455,,,,,,,,,,,[][1]MallatS.Atheoryformulti2resolutionsignaldecomposition:thewaveletrepresentation[J].IEEETransonPAMI,1989,11(7):674693.[2]MallatS.AWaveletTourofSignalProcessing(2ed)[M].ChinaMachinePress,2003.[3]DaubechiesI.TenLecturesonWavelets[R].SocietyforIndustrialandAppliedMathematics,Philadelphia,PA,1992.[4],.[M].:,1994.[5]DinizPSR.()[M].,.:,2004.[6],.[M].:,2001.37281: