Parametric Identification of Stochastic EMI Sources Based on Near-Field Measurements

Transcription

1 Parameric Ideificaio of Sochaic EI Source Baed o Near-Field eaureme Yur Kueov Theoreical Radio Egieerig Deparme ocow Aviaio Iiue (Naioal Reearch iveri) ocow Ruia kaf45@mai.ru IC 47 ACCREDIT

2 Oulie oivaio Characeriaio of ochaic E radiaed emiio No-parameric eimaio of ochaic EI ource Parameric ideificaio of ochaic EI ource Simulaio eample Eperimeal reul Cocluio IC 47 ACCREDIT

3 oivaio PCB a muli-ipu / muli-oupu DT l T I/O A IC l A I/O T l 3 A 3 3 I/O 3 T 3 IC 47 ACCREDIT

4 oivaio -poi caig em of EI ource Digial ocillocope Vecor ework aaler V Por Por Poiio Probe Probe dbv G DT IC 47 ACCREDIT

5 oivaio Volage Ai E-field Time Ai Frequec We will cocerae o he localiaio of race o he urface of he PCB. The reao i ha uch pe of ource ca be ued a a model of he iformaio bearig igal ramiig bewee paiall eparaed block of he elecroic device hrough ramiio lie alog he urface of PCB or ome bu ierface. The accurae localiaio ad parameer eimaio of uch ource could igifical improve he validi of he F-F paial diribuio of he iformaio bearig EI paer. IC 47 ACCREDIT

6 oivaio For he compuaio of he F-F E radiaio ad for he recoverig of he ipu elecric curre deiie o he urface of he DT i i ufficie o meaure -field a he ko of he periodic arra i he obervaio plae. -field ap of dipole 5 cm cm cm cm IC 47 ACCREDIT

7 Characeriaio of ochaic E radiaed emiio Volage Level db Volage Level db Time Frequec Time IC 47 ACCREDIT Frequec 7

8 IC 47 ACCREDIT PA igal PP igal Impule repoe Addiive oie Characeriaio of ochaic E radiaed emiio Near-field received igal w g T g T w N i i i i i T T δ i T i T δ N p a p b K p A L g N m m m w N w

9 Characeriaio of ochaic E radiaed emiio Cclo WSS proce The dicree-ime WSS proce covered io he coiuouime radom igal b i raiio hrough he LTI damic em characeriig b he impule repoe g() which duraio i geeral could be more he ierval T of he iiial WSS proce. Geeralied iformaio igal LTI em EI δ T Impule repoe g( ) g T 5/3/5 IC 47 ACCREDIT

10 Characeriaio of ochaic E radiaed emiio The biar iformaio igal coi of wo poible oucome ad. A dicree Beroulli diribuio ca repree i b aumig of wo correpodig probabiliie: P{} p; P{} p q Aoher impora feaure of he iformaio igal i he chroiaio b a clock geeraor wih a repeiio rae /T. Clock igal T IC 47 ACCREDIT

11 Characeriaio of ochaic E radiaed emiio Iformaio igal Impule repoe Received igal T T T Equivale LTI em To rami iformaio bewee eparae device i mu be covered io a coiuou igal which ca be meaured i he obervaio plae due o he radiaio of i commo mode. Thi ochaic igal ehibi he properie of he cclo WSS proce. IC 47 ACCREDIT

12 Characeriaio of ochaic E radiaed emiio Order of cclo WSS proce Periodic mea value E{ ( )} N C T k k Periodic mea power E{ ( )} N C k T k where C T A co A T IC 47 ACCREDIT

13 Characeriaio of ochaic E radiaed emiio Number of realiaio 4 3 EI order CWSS Frequec 8 - Level db Frequec IC 47 ACCREDIT 8

14 Characeriaio of ochaic E radiaed emiio Number of realiaio EI d order CWSS Frequec 8 Level db Frequec IC 47 ACCREDIT 8

15 Characeriaio of ochaic E radiaed emiio EI order CWSS EI d order CWSS Oupu igal Oupu igal Volage.5 Volage Time Time -8 IC 47 ACCREDIT

16 No-parameric eimaio of ochaic EI ource Direc Recorucio odel-baed Approach Radiaed Srucure Near-Field Regio Obervaio Plae E r r Radiaed Srucure Near-Field Regio Obec Plae Obervaio Plae E r r D D L L Agular limiaio The adequae model i eed IC 47 ACCREDIT

17 No-parameric eimaio of ochaic EI ource Plaar ource: p( = ) Samplig ierval: Field diribuio: ( = d ) Scaig ep: Obervaio plae: N N grid Obec plae: grid Diace bewee plae: d IC 47 ACCREDIT

18 IC 47 ACCREDIT No-parameric eimaio of ochaic EI ource f kr l r k r e d I r 4 ) ( f kr l r k r e d I r 4 ) ( f l I p Noparameric eimaio of ochaic EI ource produce he dipole mome parameer for all ko of he meh i he obec plae of he elecroic device. The mai opic of our reearch wa o recoruc he geomer of ramiio lie deigaed for raferrig he iformaio igal bewee eparaed block of he elecroic device.

19 IC 47 ACCREDIT No-parameric eimaio of ochaic EI ource The relaio bewee he meaured comple ampliude of he ageial harmoic mageic field i he obervaio plae ad he comple ampliude of he curre are defied i accordace wih he elecric dipole model p G p G The comple ampliude of he cro correlaio pecra could be epreed b he followig mari epreio p A W p A p G W * * * Obaied parameer of dipole mome i he obec plae W A p W A p

20 IC 47 ACCREDIT Comple ampliude of caig probe Comple ampliude of referece probe Time ample Weighig coefficie of ime widow Frequecie Cro-correlaio coefficie Comple coefficie No-parameric eimaio of ochaic EI ource N f k i k i N N i w N m... e ) ( Cro-correlaio Eimaio i i kr m i d r k r e f G i... 4 K k k k i i K W *... m T m f m w... N e ) ( N f k k m w N

21 No-parameric eimaio of ochaic EI ource Recorucio of Dipole ome Sigular value decompoiio A diag V i Tikhoov regulariaio p arg{mi( A p W b ) ( p ) } V Σ W where L-curve ehod i diag i i Σ : ma curv log A p log W p IC 47 ACCREDIT

22 No-parameric eimaio of ochaic EI ource meaure for he ill-codiioig Tpical L-curve for a ill-poed problem log p meaure for he mimach log A p W 3 IC 47 ACCREDIT more coraied

23 Parameric ideificaio of ochaic EI ource The diribued muli-dipole model of he EI ource coi of he liked ogeher elecric dipole characeried b dipole mome for ome predefied frequec of he harmoic curre flowig hrough he ramiio lie. Referece Dipole I P() odel Parameer r δ dl Θ l -h dipole orieaio vecor curre dela i -h dipole...order Order ) ( Obec Plae IC 47 ACCREDIT

24 IC 47 ACCREDIT Space frequec-domai model of plaar ource where Parameric ideificaio of ochaic EI ource Parameric ideificaio procedure allow igifical reduce he umber of he effecive dipole ad likig hem o form he geomer of he diribued ochaic EI ource e e e ) ( Order Order D D D D F N F p G

25 IC 47 ACCREDIT Daa ari where L L L L N L D D D D D D D D D D D D J G J G J G J G G G J G G G D Parameric ideificaio of ochaic EI ource

26 Sigular Value Parameric ideificaio of ochaic EI ource odel Order Selecio The appropriae umber of ource ca be choe uig he iformaio crieria uch a Akaike iformaio crierio (AIC) or iimum Decripio Legh (DL) crierio. The geeral form of a iformaio crieria look a follow:.6. oie Order arg{mi l k Number ~ L D Θ rkf N k} Sigular Value Decompoiio Iformaio Crierio Iformaio Crierio -4 IC 47 ACCREDIT mi (IC) odel Order

27 IC 47 ACCREDIT Effecive Source Coordiae Eimaio: arg diag L L D Z Q Q Z Q Z Q -coordiae -coordiae arg diag P P P P P P P P P J P J P P D Z Q Q Z Q Z Q P Parameric ideificaio of ochaic EI ource V V V D

28 IC 47 ACCREDIT iimum lea quare algorihm where Comple ampliude of dipole mome eimaio: R L Order Z G Z diag Order Order Order Order Order Order R L Z Z Parameric ideificaio of ochaic EI ource

29 IC 47 ACCREDIT Parameric ideificaio of ochaic EI ource } arg{ } { } { I f l f p f l p f I m m m m Fiall he geomeric parameer of dipole uch a dela ad orieaio i he obec plae could be calculaed from he eimaed dipole mome. I allow predicig of he far field diribuio for a iformaio bearig ochaic igal flowig hrough he ideified diribued EI ource.

30 Eperimeal Reul eaureme eup Digial ocillocope ageic Field Probe Field Probe Obervaio Plae eaured ageial compoe of vecor Scaig Obec Plae Referece Lapop IC 47 ACCREDIT

31 Eperimeal Reul -4-5 LAN o LAN off Level db X: 5 X: 5 Y: Y: X: 375 Y: Frequec IC 47 ACCREDIT

32 Eperimeal Reul Auocorrelaio fucio Impule repoe Normalied agiude Normalied agiude Time Time Auocorrelaio fucio regio afer hi filerig..6 Normalied agiude Time IC 47 ACCREDIT

33 Eperimeal Reul Compario of cro-correlaio pecra for muuall paced WCSC ource No-parameric eemble averagig Parameric ideificaio procedure IC 47 ACCREDIT

34 Eperimeal Reul eaureme parameer Frequec f = 4 Diace bewee obervaio plae ad obec plae d = 3 cm Scaig ep = cm Reoluio i he obec plae = cm Number of caig poi 56 Cro-correlaio i he obervaio plae DT: oior maiboard IC 47 ACCREDIT

35 Eperimeal Reul Localiaio Reul f = 4 Order = 7 IC 47 ACCREDIT

36 Eperimeal Reul Localiaio Reul f = 4.8 IC 47 ACCREDIT

37 Eperimeal Reul eaureme parameer Frequec rage f = Diace bewee obervaio plae ad obec plae d = 3.5 cm Scaig ep = cm Reoluio i he obec plae = cm Number of caig poi 87 DT: Noebook Auocorrelaio pecrum of he -field IC 47 ACCREDIT

38 Eperimeal Reul Far-Field Paer Diace Polariaio r = m orioal f = 35 f = 65 f = 86 IC 47 ACCREDIT

39 Cocluio The N-F meaureme of he ochaic field radiaig b PCB ca be ued for he predicio of he F-F diribuio of he EI coaiig he iformaio bearig igal ad for he localiaio of he ochaic CWSS EI ource o he urface of he PCB or elecroic device uder e. The improveme of he localiaio accurac could be archived b pecific igal proceig i addiio o he coveioal averagig echique for ochaic E field. IC 47 ACCREDIT

40 Cocluio The propoed algorihm of Tikhoov regulariaio i coucio wih L-curve mehod allow he fidig of he able ivere recorucio of he muli-dipole model diribuio i he obec plae Addiioal parameric ideificaio procedure baed o he model order elecio i accordace wih AIC ad alo o he D ari Pecil Algorihm wih ubeque fiig b LS echique give he geomerical cofiguraio of he iformaio bearig CWSS ochaic ource of he elecroic device uder e. Implemeed imulaio ad meaureme eperime verified he choice of he propoed igal proceig algorihm for he purpoe of he E ource localiaio ad he predicio of he far-field uieioal emiio paer. IC 47 ACCREDIT