ࡱ> y{xRq` RbjbjqPqP::Jx%vvv  4 x x x h !, W"("(((+b+$+AVCVCVCVCVCVCV$RYh[TgV.++..gV((7HWi?i?i?.F 8((Ni?.AVi?i?:D,D(! lXx C8LKD N4^W0WUD.\;\D\D +K,hi?,T-+++gVgV/<:+++W....           WNEMDvUSSOnpe0Oel T g Ğs^ R~fk ς~t V2yf[b/g'Yf[ :g5u] zNꁨRSf[b VnWS l 410073 Xd:NNSUSSc6eOSvOnpev [nfOnpe0Oel Nvc(uNUSSc6eOSv cQNWN~!j`R(empirical mode decomposition, EMD)vOnpe0Oel0\USSOSǏEMDYt _0RY*NV g!j`Qpe(intrinsic-mode function, IMF) ncdkg pencOSe]w50[@bg vOSe]w5ۏLyr_fWcؚ{lhKm'`0 sQ.͋USSOnpe0O ~!j`R Oo`QR [҉R} -NVR{|S TN911 e.shƋx Single Channel Source Number Estimation Based on EMD Hu Junpeng, Huang Zhiping, Liu Chunwu, Su Shaojing (College of Mechatronics and Automation, National University of Defense Technology, Changsha 410073, China) AbstractIn order to obtain the source number of single channel received signal, an empirical mode decomposition (EMD) based method is proposed, considering the conventional methods can not used directly. The received signal is divided into many intrinsic mode functions (IMFs) by EMD process. Then the data covariance matrix is constructed by these IMFs and the eigenvalues of the matrix is calculated by eigenvalue decomposition. The information theoretic criteria based methods, AIC and MDL, are employed to estimate the source number of the received signal. To improve the detection performance, the diagonal loading technique is introduced to optimize the eigenvalues. The simulation result shows that the proposed method can be used to estimate the source number of single channel received signal and the diagonal loading technique can efficiently improve the detection performance. Key words single channel source number estimation; empirical mode decomposition; information theoretic criteria; diagonal loading 0 _( Ǒ(uY*Nc6e:gb OahVc6eOS v^)R(u5ROSYtvelۏLOnpe0OTOSRϑRy/fNy8^(uvZPl06q @wSpevvXR |~OS_ YBg NOegؚ TerzSc6e:gKNv]_@b_wv]_NOXR ADDIN EN.CITE <EndNote><Cite><Author>m_?</Author><Year>2009</Year><RecNum>374</RecNum><DisplayText>[1]</DisplayText><record><rec-number>374</rec-number><foreign-keys><key app="EN" db-id="zwtwddsx5tze9lexpadpaz5jr0x0xf92wzs0">374</key></foreign-keys><ref-type name="Journal Article">17</ref-type><contributors><authors><author><style face="normal" font="default" charset="134" size="100%">m_?</style></author><author><style face="normal" font="default" charset="134" size="100%">Ğwm</style></author><author><style face="normal" font="default" charset="134" size="100%">Ye)R</style></author><author><style face="normal" font="default" charset="134" size="100%">hTN[</style></author></authors></contributors><titles><title><style face="normal" font="default" charset="134" size="100%">USSvOSRyxvzۏU\NU\g</style></title><secondary-title><style face="normal" font="default" charset="134" size="100%">-NV5uP[yf[xvzbf[b</style></secondary-title></titles><periodical><full-title>-NV5uP[yf[xvzbf[b</full-title></periodical><pages>268-277</pages><volume>4</volume><number>3</number><dates><year>2009</year></dates><urls></urls></record></Cite></EndNote>[ HYPERLINK \l "_ENREF_1" \o "m_?, 2009 #374" 1]0USSc6eSN*NOSb OahVc6e |~{USS` b,gNO0USSOnpe0OS^l^(uNuir;Sf[OSYt04lXOSYt0:gh/cROSYtI{eb0dkY YUSSOSRy{lwSOS*Npe:NMRc0 vMR 5ROSYt-N gYOyvOnpe0O NNf[cQNYOyv{l ADDIN EN.CITE  ADDIN EN.CITE.DATA [ HYPERLINK \l "_ENREF_2" \o "SO^, 2012 #370" 2-5]0kW Tv{l gWNOo`vAkaikeQR(Akaike information criterion, AIC) ADDIN EN.CITE <EndNote><Cite><Author>H.</Author><Year>1974</Year><RecNum>292</RecNum><DisplayText>[6]29229217Akaike H.A new look at the statistical model identificationIEEE Trans. on Automatic ControlIEEE Trans. on Automatic Control<pages>716-723</pages><volume>19</volume><number>6</number><dates><year>1974</year></dates><urls></urls></record></Cite></EndNote>[ HYPERLINK \l "_ENREF_6" \o "H., 1974 #292" 6]0g\c^QR(minimum description length, MDL) ADDIN EN.CITE <EndNote><Cite>G.1978293[7, 8]29329317Schwartz G.Estimation the dimension of a modelThe Annals of StatisticsThe Annals of Statistics461-464621978Rissanen197830630630617Rissanen, J. 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size="100%">>hwmY</style></author></authors></contributors><titles><title><style face="normal" font="default" charset="134" size="100%">WN\lSbcvUSSvRy-NnOSpev0O{l</style></title><secondary-title><style face="normal" font="default" charset="134" size="100%">yf[b/gN] z</style></secondary-title></titles><periodical><full-title>yf[b/gN] z</full-title></periodical><pages>5039-5043</pages><volume>12</volume><number>20</number><dates><year>2012</year></dates><urls></urls></record></Cite></EndNote>[ HYPERLINK \l "_ENREF_10" \o "9\wm f, 2012 #375" 10]Ǐ\lSbccSmTOSlb_vzSp [s[USSOSnpevvv0O FON@\PN8^vpeW[6ROOS0e.s ADDIN EN.CITE <EndNote><Cite><Author>Hong2007369[11]36936917Hoonbin HongMing LiangSeparation of fault features from a single-channel mechanical signal mixture using wavelet decompositionMechanical Systems and Signal Processing Mechanical Systems and Signal Processing2025-2040212007[ HYPERLINK \l "_ENREF_11" \o "Hong, 2007 #369" 11] cQNNyTT\lR㉌TP̑SSSv0OUSS:ghmTOSvOnpeel 勹el{ YBg^ؚ0e.s ADDIN EN.CITE <EndNote><Cite><Author> _~</Author><Year>2012</Year><RecNum>376</RecNum><DisplayText>[12]</DisplayText><record><rec-number>376</rec-number><foreign-keys><key app="EN" db-id="zwtwddsx5tze9lexpadpaz5jr0x0xf92wzs0">376</key></foreign-keys><ref-type name="Journal Article">17</ref-type><contributors><authors><author><style face="normal" font="default" charset="134" size="100%"> _~</style></author><author><style face="normal" font="default" charset="134" size="100%">hgO[</style></author><author><style face="normal" font="default" charset="134" size="100%">S0N</style></author></authors></contributors><titles><title><style face="normal" font="default" charset="134" size="100%">ؚerjVX̀of NvUSSOnpev0O{l</style></title><secondary-title><style face="normal" font="default" charset="134" size="100%">OSYt</style></secondary-title></titles><periodical><full-title>OSYt</full-title></periodical><pages>994-999</pages><volume>28</volume><number>7</number><dates><year>2012</year></dates><urls></urls></record></Cite></EndNote>[ HYPERLINK \l "_ENREF_12" \o " _~, 2012 #376" 12]Ǐg^OSe_b v^L]eQ~pe \USSOSlbc:NY~OSYt 勹el[OS_bpeBl'Y0 ~!j`R(empirical mode decomposition, EMD) /fNyOncOSꁫv@\eyr'` \^~'`^s^3zOSR:NY*NwQ ggyirtaINRϑvOSKNTvel ADDIN EN.CITE <EndNote><Cite><Author>ĞfNNS</Author><Year>2013</Year><RecNum>448</RecNum><DisplayText>[13]</DisplayText><record><rec-number>448</rec-number><foreign-keys><key app="EN" db-id="zwtwddsx5tze9lexpadpaz5jr0x0xf92wzs0">448</key></foreign-keys><ref-type name="Thesis">32</ref-type><contributors><authors><author><style face="normal" font="default" charset="134" size="100%">ĞfNNS</style></author></authors></contributors><titles><title><style face="normal" font="default" charset="134" size="100%">USSvnRylxvzS^(u</style></title></titles><volume><style 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<Cite><Author>Gao</Author><Year>2011</Year><RecNum>379</RecNum><DisplayText>[14]</DisplayText><record><rec-number>379</rec-number><foreign-keys><key app="EN" db-id="zwtwddsx5tze9lexpadpaz5jr0x0xf92wzs0">379</key></foreign-keys><ref-type name="Journal Article">17</ref-type><contributors><authors><author>Bin Gao</author><author>W. L. Woo</author><author>S. S. Dlay</author></authors></contributors><titles><title>Single-Channel Source Separation Using EMD-Subband Variable Regularized Sparse Features</title><secondary-title>IEEE TRANSACTIONS ON AUDIO, SPEECH, AND LANGUAGE PROCESSING</secondary-title></titles><periodical><full-title>IEEE TRANSACTIONS ON AUDIO, SPEECH, AND LANGUAGE PROCESSING</full-title></periodical><pages>961-976</pages><volume>19</volume><number>4</number><dates><year>2011</year></dates><urls></urls></record></Cite></EndNote>[ HYPERLINK \l "_ENREF_14" \o "Gao, 2011 #379" 14]0ǏEMDYt c6eOSR:Nr^V g!j`Qpe(intrinsic-mode functions, IMF)vƖT Y_(2)@b:y0  EMBED Equation.DSMT4   MACROBUTTON MTPlaceRef \* MERGEFORMAT  SEQ MTEqn \h \* MERGEFORMAT ( SEQ MTEqn \c \* Arabic \* MERGEFORMAT 2)  EMBED Equation.DSMT4 Nh,{ EMBED Equation.DSMT4  *NIMF  EMBED Equation.DSMT4 :NIMFvpeϑ  EMBED Equation.DSMT4 :NkYORϑ0IMFn$N*NagNOSg<Cite><Author>"~\</Author><Year>2008</Year><RecNum>372</RecNum><DisplayText>[4]</DisplayText><record><rec-number>372</rec-number><foreign-keys><key app="EN" db-id="zwtwddsx5tze9lexpadpaz5jr0x0xf92wzs0">372</key></foreign-keys><ref-type name="Journal Article">17</ref-type><contributors><authors><author><style face="normal" font="default" charset="134" size="100%">"~\</style></author><author><style face="normal" font="default" charset="134" size="100%">S!Mb</style></author></authors></contributors><titles><title><style face="normal" font="default" charset="134" size="100%">WNOSe]w5[҉R}vOnpe0Oel</style></title><secondary-title><style face="normal" font="default" charset="134" size="100%">|~] zN5uP[b/g</style></secondary-title></titles><periodical><full-title>|~] zN5uP[b/g</full-title></periodical><pages>46-49</pages><volume>30</volume><number>1</number><dates><year>2008</year></dates><urls></urls></record></Cite></EndNote>[ HYPERLINK \l "_ENREF_4" \o ""~\, 2008 #372" 4]0  EMBED Equation.DSMT4   MACROBUTTON MTPlaceRef \* MERGEFORMAT  SEQ MTEqn \h \* MERGEFORMAT ( SEQ MTEqn \c \* Arabic \* MERGEFORMAT 10)  EMBED Equation.DSMT4 :NSYyr_

fcؚ0  V  SEQ V \* ARABIC 2 Onpe0O{lhKm'`f~ 5 ~_g [OnpevQnx0O/fYOSYt{lvMRc0USSc6eOSvOnpe0O/fN*N k[ NvcǑ(us gv{lۏL0O0[ُN ,gecQNWNEMDvUSSOnpe0Oel0c6eOSHQ~ǏEMDYt _0Rr^IMFRϑ06qT1uIMFRϑg OSe]w5 v^Blw5yr_hwmY. WN\lSbcvUSSvRy-NnOSpev0O{l[J]. yf[b/gN] z, 2012, 12(20): 5039-5043. [11] Hong H, Liang M. Separation of fault features from a single-channel mechanical signal mixture using wavelet decomposition[J]. Mechanical Systems and Signal Processing, 2007, 21(2025-2040. [12] _~, hgO[, S0N. ؚerjVX̀of NvUSSOnpev0O{l[J]. OSYt, 2012, 28(7): 994-999. [13] ĞfNNS. USSvnRylxvzS^(u [D]. *YS: *YSyb'Yf[UxXf[MOe; 2013. [14] Gao B, Woo W L, Dlay S S. Single-Channel Source Separation Using EMD-Subband Variable Regularized Sparse Features[J]. IEEE TRANSACTIONS ON AUDIO, SPEECH, AND LANGUAGE PROCESSING, 2011, 19(4): 961-976. 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