Vehicles to Pedestrians Signal Transmissions Based on Cloud Computing

Size: px
Start display at page:

Download "Vehicles to Pedestrians Signal Transmissions Based on Cloud Computing"

Transcription

1 Vhcls o Psrans Sgnal Transssons Bas on Clou Copung Zhy Huang, Junlang Y, Jaq Chn, Xaohu G School of Elcronc Inforaon an Councaons Huazhong Unvrsy of Scnc an Tchnology Wuhan, Chna -al: xhg@alhusucn Yonghu L School of Elcrcal an Inforaon Engnrng Unvrsy of Syny Syny, Ausrala -al: yonghul@synyuau Absrac Collsons bwn vhcls an psrans usually rsul n h faaly o h vulnrabl roa usrs (VRUs) Thus, nw chnologs ar n o b vlop for procng h VRUs Bas on h hgh nsy of psrans an l copung capably of bas saons, n hs papr h clou copung chnologs ar aop o hanl h hug aouns of safy-crcal ssags Morovr, h wrlss ul-hop backhaul chnology s aop o ovrco h bolncks of l ranssson capably an quung lay of h rans safy-crcal ssags bwn bas saons an clous Bas on h ul-hop wrlss ranssson sch, h sgnal ranssson succss probably an lay bwn psrans an clous ar rv for prforanc analyss Furhror, nurcal sulaons ar prfor o llusra h rlaonshp bwn h ranssson succss probably an h rcv sgnal o nrfrnc plus nos rao (SINR) hrshol Kywors-clou copung; lay; ul-hop wrlss ranssson I INTRODUCTION Wly ploy Long Tr Evoluon bas vhcl o vryhng councaon (LTE-bas VX) nworks was propos by 3GPP o suppor h fuur slf-rvng chnology n h yar 6 Bas on h fnon gvn by 3GPP, h LTE-bas VX nworks was consruc wh four yps of councaon hos as vhcl-ovhcl (VV) councaon, vhcl-o-psran (VP) councaon, vhcl-o-nfrasrucur (VI) councaon an vhcl-o-nwork (VN) councaon [], [] Th propos LTE-bas VX nworks ar ang a h nhancn of h LTE syss o nabl vhcls o counca wh ohr vhcls, psrans an nfrasrucur n orr o xchang h safy-crcal ssags o nsur roa safy, conrollng raffc flow, an provng varous of nllgn raffc applcaons [3], [4] Bas on h fnon n [5], VRUs ar hos nonoorz roa usrs, such as psrans an cyclss as wll as oorcyclss an prsons wh sabls or ruc obly Bas on h sascal rsuls n [6], or han 3 popl worlw pr ay u o h angrous rvng, an half of h ar VRUs Th sascal rsul of raffc accn n Chna shows ha an avrag of narly 5, psrans n vhcl accns vry yar, whch accouns for narly 5% of h oal nubr of ahs urng h las n yars [7] Th an caus of raffc accns s h nably of roa usrs o c an prcv oncong angrs bfor a suffcn aoun of so ha racons for accn avoanc can b akn Alhough supporng rvng safy s a ho subc n h lcouncaons fl, h aory of h work has a focus on h VV an VI councaons for h avoanc of nr-vhcl collsons [8] VRUs safy soluons can b bas on wo classs of VRUs con hos: a) classc snsor bas [9] whch ploys snsors such as RADARs, LASER scannrs, IR snsors an agng snsors (copur vson); b) wrlss councaon bwn vhcls an vulnrabl roa usrs [] In a LTE-bas VX nwork, hr ar hug aouns of safy-crcal ssags n o b rans by vhcls, psrans an bas saons o nsur roa safy Howvr, h copung capably of bas saons ar l Thus, h clou copung chnology shoul b ulz n LTEbas VX nworks o hanl h hug aoun of councaon ssags An h scalably, rslnc, aapably, conncvy, cos rucon an hgh prforanc faurs of clou copung chnology hav hgh ponal o lf h ffcncy an qualy of nforaon procssng [], [] Ths papr anly focuss on h succss probably of councaon an h roun rp lay hroughou h whol councaon procur aong psrans, vhcls, bas saons an clou Th an conrbuons of hs papr ar hr-fol: ) By ulzng h auoac rpa-rqus (ARQ) chnology as h rlabl ranssson chnology of h nwork, clos-for forulas for ranssson succss probably an ranssson rlably was rv n hs papr Th corrsponng sulaon rsuls nca ha h nubr of ncssary rransssons ncrass sgnfcanly wh h ncras of rcv SINR hrshol; ) Th wrlss ul-hop ranssson was ulz o ovrco h bolnck of quung lay of h rans safy-crcal ssags Bas on hs confguraon, h rrans lay nsa of quung lay was rv n hs papr, Th corrsponng sulaon rsul shows ha h rranssson lay ncrass raply wh h ncras of rcv SINR hrshol; 3) Bas on h propos sys ol, h

2 ranssson rlably an lay wr rv n hs papr Bas on sulaon rsuls, w foun ha h ranssson lay an rlably wr coupl Whn h ranssson rlably ncrass wh h rcv SINR hrshol, h ranssson lay also ncrass sulanously Th rs of hs papr s organz as follows Scon Ⅱ scrbs h sys ol of h whol councaon procur Nwork prforanc rcs ar also analyz an rv n Scon Ⅱ Nurcal an sulaon rsuls ar splay n Scon Ⅲ Fnally, Scon Ⅳ conclus hs papr II SYSTEM MODEL In h sys ol of hs arcl, wrlss ul-hop chnologs ar aop for councaon aong psrans an bas saons, vhcls an bas saons, bas saons an clous Bas on h fac ha h probably of raffc accns n urban aras wh hgh vhcl nsy s uch hghr han ha n ohr aras, a ypcal urban ara s nvsga n hs papr Th sys ol n hs papr s shown n Fg Whou loss of gnraly, h ypcal urban ara s confgur o b a crcular ara whch nclus h vhcls, psrans an bas saons loca Assung ha h slc araⅠs a crcular ara wh a raus R b Bas saons, psrans an vhcls ar unforly srbu n hs ara ranoly Assung ha wo-nsonal Carsan coorna sys xoy s slc, n whch h slc crcular ara sasfs h quaon: x y R b Th slc ara Ⅰ nclus ulpl sall aras Ⅱ wh h raus R In ach sall araⅡ, hr s only on bas saon, n whch h crcular ara sasfs h quaon: x y R Bas on h fnon of LTE-bas VX nworks, psrans an bas saons, vhcls an bas saons, bas saons an clou hav h ably o counca wh ach ohr By assung ha h workng spcrus of h hr yps of councaons ar ffrn fro ach ohr, hr s no cross-layr nrfrnc aong ffrn yps of councaons Th whol councaon procur s v no h followng hr pars: ) Councaon bwn psrans an bas saons: A vc (such as a sar phon) carr by a psran ranss h rlvan ssags of h psran (such as sp, locaon, c) o a bas saon; ) Councaon bwn vhcls an bas saons: a) A vhcl ranss s rlvan ssags (such as sp, locaon, c) o a bas saon; b) Th bas saon ranss warnng ssags o h vhcl; 3) Councaon bwn bas saons an clous: a) A bas saon ranss h ssags (such as psrans ssags, vhcls ssags, c) o clou; b) Th clou ranss warnng ssags o h bas saon Fg Clou Slc araⅠ Slc ara Ⅱ Psran Bas saon Vhcl Sgnal ranssson Th ypcal VX councaon scnaro n urban ara III VEHICLES TO PEDESTRIANS WIRELESS TRANSMISSIONS A Councaon bwn psrans an bas saons Assu ha h locaon of a bas saon s x, y, h nubr of psrans n h slc ara Ⅱ s M Th locaon of a psran s x, y,,, M Th sanc bwn h psran an h bas saon s xprss as x x y y,,, M, () bas on h rsul n [3], h probably nsy funcon (PDF) f x of h sanc bwn h psran an h bas saon s xprss as 4x x x x f x arccos, () R R R whr x R Th rcv SINR a h bas saon fro h psran s xprss as P h SINR,,, M, (3) P h whr s h nubr of nrfrng psrans, an M I M P s h rans powr of a psran vc, h s h sall scal fang xprnc by h sr sgnal an h s h sall scal fang xprnc by h nrfrng sgnal Bas on h assupon ha h sall scal fang of all channls ar npnn an ncally srbu () rano varabls followng h Raylgh srbuon,, h an h ar govrn by h xponnal srbuon wh parar λ s h sanc bwn h -h psran an h bas saon, s h sanc bwn h -h nrfrng psran an h bas saon, α s h pah loss xponn, σ s h powr of h av wh Gaussan nos (AWGN) P US s h probably ha h bas saon succssfully rcvs a sgnal fro h psran vc, an

3 PUS PrSINR, whr s h probably ha h xprsson n parnhss s ru, an θ s h hrshol of h rcv SINR a h bas saon By gnorng h shaowng [4], P US s xprss as Pr P h PUS Pr P h (4) h Pr h P P L, ρ s h rcv sgnal o nos rao (SNR) of a psran vc, hn (4) s furhr rv by P US Pr h h Pr h h h h Pr h h Bas on [5], h Laplac ransfor opraon on h rano varabl Z s no by L s, whr Z s Z h h h Thus, h Laplac ransfor Lz s s rv as (7), whr xp s h xponnal funcon an Eh, h,, s h xpcaon opraons on rano varabls h, h, an L s E xp( sz) z h, h,, h (7) Eh,,, xp( ( )) h s h h Bas on (6) (7), h Laplac ransfor Lz s s rv by z (5) (6) s s h Lz s Eh,,, xp( ) xp( ) h h h M I s s h Eh xp( ) E,, xp( ), h h h an h PDFs of h, h, an ar 4x x x x f x arccos R R R 4x x x x f arccos x R R R fh x xpx fh x xpx By subsung (9) no (8), h Laplac ransfor n (8) bcos () s L s xp( ) xph h z h R R s h h xp( ) 4 arccos R R R (8) (9) () 4 arccos R R R x ph h Slar o [6], by h Eulr suaon on (), P US n (5) bcos () B Cb c B A ( ) B Lz s PUS xp( ) R, b b c Dc s () f c Dc ohrs () Accorng o wll sablsh gulns n [6], [7], h hr parars A, B an C conrol h saon rror, whch shoul b no lss han ln, 43 an 467 rspcvly o oban a nurcal accuracy of - In orr o oban a nurcal accuracy of -8, A, B an C ar confgur o b 8ln, an 4 Th parar s s xprss as s A c, whr s h agnary un nos h ral par of h gvn varabl n parnhss R B Councaon bwn vhcls an bas saons Assu ha h nubr of vhcls n h slc ara Ⅱ s N Th locaon of a vhcl s x, y,,, N Th nubr of nrfrng vhcls s N I, an NI N Assu ha h channl ol of h councaon bwn h vhcls an h bas saon s h sa as ha bwn h psrans an h bas saon Th Laplac ransfor of s can b rv bas on Scon IIA as Lz V

4 whr s L s xp( ) xph h zv h P R R s hn n h xp( ) 4 arccos R R R 4 n n n n arccos R R R (3) NI xphn n hn,, P s h rans powr of a vhcl sgnal h s h sall scal fang xprnc by h sr sgnal an h n s h sall scal fang xprnc by h nrfrng sgnal s h sanc bwn h -h vhcl an h bas saon, n s h sanc bwn h n-h nrfrng vhcl an h bas saon Bas on (), () an (3), h probably ha h bas saon succssfully rcvs h sgnal rans by h vhcl s P VS, an B Cb c ( ) Lz s B A B V PVS xp( ) R (4) b b c D c s C Councaon bwn bas saons an clous Assu ha h locaon of h clou s xc, y c, h nubr of bas saon n h slc ara Ⅰ s K Th locaon of a bas saon s xk, ykk,,, K Th nubr of nrfrng bas saons s K I, an KI K Assu ha h channl ol of h councaon bwn h bas saons an h clou s h sa as ha bwn h psrans an h bas saon Th Laplac ransfor of s can b rv bas on Scon IIA as Lz B s L s xp( ) xph h zb k k hk Rb Rb s hr r hk k xp( ) 4 R k k k k arccos b Rb Rb b (5) 4 r r r r arccos R b Rb Rb b KI xphr k r hr, whr Pb k, P b s h rans powr of a bas saon sgnal h k s h sall scal fang xprnc by h sr sgnal an h r s h sall scal fang xprnc by h nrfrng sgnal k s h sanc bwn h k-h bas saon an h clou, r s h sanc bwn h r-h nrfrng bas saon an h clou Bas on (), () an (5), h probably ha clou succssfully rcvs h sgnal rans by h bas saon s P, an P s B Cb c ( ) L B A B z B xp( ) R b b c D c s (6) D Councaon lay Consrng wrlss councaon scnaros ar l n urban aras, h wrlss propagaon sanc s shor an h wrlss propagaon lay can b gnor copar wh h sgnal procssng lay n psrans, vhcls an bas saons Thus, w anly focus on sgnal procssng ) Councaon lay bwn psrans an bas saons: Th probably ha a bas saon succssfully rcvs a sgnal rans by a psran vc s P US In orr o nsur ha a psran vc sgnal s succssfully rcv by a bas saon, h nubr of h ransssons fro h psran o h bas saon s M U, an MU / PUS Th lngh of a sgnal aa an h procssng ra of a psran vc ar l U an μ U, rspcvly Th for a psran vc o procss a sgnal aa s U, an Th for a psran vc o succssfully ranss a sgnal s T U, an TU U M (7) U ) Councaon lay bwn vhcls an bas saons: Th probably ha a bas saon succssfully rcvs a sgnal rans by a vhcl s P VS In orr o nsur ha a vhcl sgnal s succssfully rcv by a bas saon, h nubr of h ransssons fro h vhcl o h bas saon s N V, an NV / PV S Th lngh of a sgnal aa an h procssng ra of a vhcl ar l V an μ V, rspcvly Th for a vhcl o procss a sgnal aa s V, an V lv / V Th for a vhcl o succssfully ranss a sgnal s T V, an TV V N (8) V 3) Councaon lay bwn bas saons an clous: Th probably ha clou succssfully rcvs a sgnal rans by a bas saon s P In orr o nsur ha a sgnal of a bas saon s succssfully rcv by h clou, h nubr of h ransssons fro h bas saon o h clou s N, an N / P Th lngh of a sgnal aa an h procssng ra of a bas saon ar l an μ, rspcvly Th for a bas saon o procss a sgnal aa s, an B S l / Th for a psran vc o succssfully ranss a sgnal s T, an T M (9) 4) Th whol councaon procur: Bas on h abov analyss, h succss probably an h oal lay of sgnals ranssson hroughou h whol councaon procur ar P S an T, rspcvly, an PS PUS PVS P, () l / U U U

5 IV ax U, V () T T T T T T NUMERICAL SIMULATION RESULTS Bas on h sys ol n hs papr, h nurcal rsuls ar shown n hs scon Tabl Ⅰ suarzs parars us n hs papr [8]-[] TABLE I SYSTEM RELATED PARAMETERS Parar Dscrpon Valu R b Raus of h slc ara Ⅰ 5 R Raus of h slc ara Ⅱ σ Th powr of h av wh Gaussan nos (AWGN) λ Th parar of h xponnal srbuon l U Psran vc sgnal lngh 5KB μ U Psran vc sgnal procssng ra GB/S l V Vhcl sgnal lngh 5KB μ V Vhcl sgnal procssng ra 4GB/S l Bas Saon sgnal lngh KB μ Bas Saon sgnal procssng ra 8GB/S curv rn nvsga n Fg Whn θ s fx, P crass wh h ncras of K Whn K s fx, P crass wh h ncras of θ Th nubrs of psrans, vhcls an bas suaons of h hr suaons ar as follows: A: M=, N=5, K=3; B: M=3, N=, K=5; C: M=5, N=5, K=7 Th pac of h SINR hrshol θ on h sgnal ranssson succss probably P S an h oal councaon lay T unr hr suaons of A, B an C ar nvsga n Fg 3 an Fg 4, rspcvly Whn θ s fx, P S crass an T ncrass unr h hr suaons of A, B an C Whn M, N an K ar fx, P S crass an T ncrass wh h ncras of θ unr h hr suaons of A, B an C Ths papr focuss on h probabls of succssful ranssson of psran sgnals, vhcl sgnals an bas saon sgnals, an h nubr of ransssons rqur for succssful sgnal ranssson unr ffrn SINR hrshols Exprnal nurcal rsuls ar as follows: Fg 3 Sgnal ranssson succss probably P S wh rspc o h SINR hrshol θ unr ffrn hr suaons hroughou h whol councaon procur Fg Psran sgnal ranssson succss probably P US wh rspc o h SINR hrshol θ unr ffrn nubrs of psrans Th pac of h SINR hrshol θ an h nubrs of psrans M on h psran sgnal ranssson succss probably P US s nvsga n Fg Whn θ s fx, P US crass wh h ncras of M Whn M s fx, P US crass wh h ncras of θ Bas on Scon IIB, h pac of h SINR hrshol θ an h nubr of vhcls N on h vhcl sgnal ranssson succss probably P VS s sa as h curv rn nvsga n Fg Whn θ s fx, P VS crass wh h ncras of N Whn N s fx, P VS crass wh h ncras of θ Bas on Scon IIC, h pac of h SINR hrshol θ an h nubr of bas saons K on h bas saon sgnal ranssson succss probably P s sa as h Fg 4 Toal councaon lay T wh rspc o h SINR hrshol θ unr ffrn hr suaons hroughou h whol councaon procur V CONCLUSION In hs papr, w anly focus on h analyss of ranssson rlably an lay of safy-crcal ssags n VX nworks By olng h locaons of psrans

6 an bas saons as ranoly, h sancs an aggrga nrfrnc aong psrans, bas saons an vhcls ar analyz Morovr, h wrlss ul-hop chnology s aop n hs papr o ovrco h bolnck of l ranssson capably an quung lay of h rans safy-crcal ssags bwn bas saons an clous, an h clos-for xprssons of ranssson succss probably, ranssson rlably an ranssson lay ar rv By ong sulaons on h propos sys ol, w foun ha h ranssson lay an rlably wr coupl, an whn ranssson rlably ncrass wh h rcv SINR hrshol h ranssson lay also ncrass sulanously ACKNOWLEDGMENT Auhors hank h suppor fro Naonal Ky R&D Progra of Chna (6YFE33): EU-Chna suy on IoT an 5G REFERENCES [] X G, J Y, Y Yang an Q L, Usr obly valuaon for 5G sall cll nworks bas on nvual obly ol, IEEE Journal Slc Aras Councaons, vol 34, no 3, pp 58-54, March 6 [] X G, H Chng, M Guzan an T Han, 5G wrlss backhaul nworks: challngs an rsarch avancs, n IEEE Nwork, vol 8, no 6, pp 6-, Nov-Dc 4 [3] X G, S Tu, G Mao, C-X Wang an T Han, 5G ulra-ns cllular nworks, IEEE Wrlss Councaons, vol 3, no, pp 7-79, Fb 6 [4] X G, S Tu, T Han, Q L an G Mao, Enrgy ffcncy of sall cll backhaul nworks bas on Gauss-Markov obl ols, IET Nworks, vol 4, no, pp 58-67, 5 [5] P Mrrgnac, O Shagar an F Nashashb, Fuson of Prcpon an VP Councaon Syss for h Safy of Vulnrabl Roa Usrs, IEEE Transacons on Inllgn Transporaon Syss, vol 8, no 7, pp 74-75, July 7 [6] WHO, Global Saus Rpor On Roa Safy 3: supporng a ca of acon, Worl Halh Organzaon, Tch Rp, 3 [7] Y Han, S Fu, Z Yn an L Sh, A Suy on Chs Sof Tssu Inury Rsk n Vhcl o Psran Collsons, 6 Eghh Inrnaonal Confrnc on Masurng Tchnology an Mcharoncs Auoaon (ICMTMA), Macau, 6, pp [8] J J Anaya, P Mrrgnac, O Shagar, F Nashashb an J E Narano, Vhcl o psran councaons for procon of vulnrabl roa usrs, 4 IEEE Inllgn Vhcls Syposu Procngs, Darborn, MI, 4, pp 37-4 [9] T Ganh an M M Trv, Psran Procon Syss: Issus, Survy, an Challngs, IEEE Transacons on Inllgn Transporaon Syss, vol 8, no 3, pp 43-43, Sp 7 [] K Dav an A Flach, CAR--X an Psran Safy, IEEE Vhcular Tchnology Magazn, vol 5, no, pp 7-76, March [] X G, H Chn, G Mao, Y Yang an S Tu, Vhcular councaons for 5G cooprav sall cll nworks, IEEE Transacons on Vhcular Tchnology, vol 65, no, pp , Oc 6 [] X G, Z L, S L, 5G sofwar fn vhcular nworks, IEEE Councaons Magazn, vol 55, no 7, pp 87-93, July 7 [3] L A Sanalo, Ingral gory an gorc probably, Encyclopa of Mahacs an s Applcaons, vol, 976 [4] J Y, X G, G Mao an Y Zhong, 5G ulra-ns nworks wh non-unfor srbu usrs, IEEE Transacons on Vhcular Tchnology, vol 67, no 3, pp 66-67, March 8 [5] J Guo, S Durran, an X Zhou, Ouag probably n arbrarlyshap fn wrlss nworks, IEEE Trans Coun, vol 6, no, pp 699-7, Fb 4 [6] J Aba an W Wh, Nurcal nvrson of Laplac ransfors of probably srbuons, ORSA J Cop, vol 7, no, pp 36-43, 995 [7] C A OCnn, Eulr suaon for Fourr srs an Laplac ransfor nvrson, Coun Sas Sochasc Mols, vol 3, no, pp , 997 [8] I Huar, X G, L Xang, J Ho, M Chn, Rhnkng nrgffcncy ols of cllular nworks wh bo nrgy, IEEE Nwork, vol5, no3, pp4-49, March, [9] X G, K Huang, C-X Wang, X Hong, an X Yang, Capacy analyss of a ul-cll ul-annna cooprav cllular nwork wh co-channl nrfrnc, IEEE Transacons on Wrlss Councaons, vol, no, pp , Oc [] X G, B Yang, J Y, G Mao, C-X Wang an T Han, Spaal spcru an nrgy ffcncy of rano cllular nworks, IEEE Transacons on Councaons, vol 63, no 3, pp 9-3, March 5

Prediction of channel information in multi-user OFDM systems

Prediction of channel information in multi-user OFDM systems Prcon of channl nforaon n ul-usr OFD syss Ja-oon Jon an Yong-wan L School of Elcrcal Engnrng an INC Soul Naonal Unvrsy. Kwanak P. O. Box 34, Soul, 5-600 Kora Absrac Channl nforaon s nspnsabl o ploy avanc

More information

Chapter 7 Stead St y- ate Errors

Chapter 7 Stead St y- ate Errors Char 7 Say-Sa rror Inroucon Conrol ym analy an gn cfcaon a. rann ron b. Sably c. Say-a rror fnon of ay-a rror : u c a whr u : nu, c: ouu Val only for abl ym chck ym ably fr! nu for ay-a a nu analy U o

More information

Advanced Queueing Theory. M/G/1 Queueing Systems

Advanced Queueing Theory. M/G/1 Queueing Systems Advand Quung Thory Ths slds ar rad by Dr. Yh Huang of Gorg Mason Unvrsy. Sudns rgsrd n Dr. Huang's ourss a GMU an ma a sngl mahn-radabl opy and prn a sngl opy of ah sld for hr own rfrn, so long as ah sld

More information

Node Placement and Mobility Control in Mobile Wireless Sensor Networks

Node Placement and Mobility Control in Mobile Wireless Sensor Networks Prprns of h 18h IFAC Worl Congrss o Placmn an Mobly Conrol n Mobl Wrlss Snsor works Mnchol Km an Song-Lyun Km School of Elcrcal an Elcronc Engnrng, Yons Unvrsy, 50 Yons-ro, Soamun-gu, Soul 120-749, Kora

More information

Improved Ratio Estimators for Population Mean Based on Median Using Linear Combination of Population Mean and Median of an Auxiliary Variable

Improved Ratio Estimators for Population Mean Based on Median Using Linear Combination of Population Mean and Median of an Auxiliary Variable rcan Journal of Opraonal Rsarch : -7 DOI:.59/j.ajor.. Iprov Rao saors for Populaon an as on an Usng Lnar Cobnaon of Populaon an an an of an uxlar arabl Subhash Kuar aav San Sharan shra * lok Kuar Shukla

More information

The Mathematics of Harmonic Oscillators

The Mathematics of Harmonic Oscillators Th Mhcs of Hronc Oscllors Spl Hronc Moon In h cs of on-nsonl spl hronc oon (SHM nvolvng sprng wh sprng consn n wh no frcon, you rv h quon of oon usng Nwon's scon lw: con wh gvs: 0 Ths s sos wrn usng h

More information

Conventional Hot-Wire Anemometer

Conventional Hot-Wire Anemometer Convnonal Ho-Wr Anmomr cro Ho Wr Avanag much mallr prob z mm o µm br paal roluon array o h nor hghr rquncy rpon lowr co prormanc/co abrcaon roc I µm lghly op p layr 8µm havly boron op ch op layr abrcaon

More information

EE243 Advanced Electromagnetic Theory Lec # 10: Poynting s Theorem, Time- Harmonic EM Fields

EE243 Advanced Electromagnetic Theory Lec # 10: Poynting s Theorem, Time- Harmonic EM Fields Appl M Fall 6 Nuruhr Lcur # r 9/6/6 4 Avanc lcromagnc Thory Lc # : Poynng s Thorm Tm- armonc M Fls Poynng s Thorm Consrvaon o nrgy an momnum Poynng s Thorm or Lnar sprsv Ma Poynng s Thorm or Tm-armonc

More information

Wave Phenomena Physics 15c

Wave Phenomena Physics 15c Wv hnon hyscs 5c cur 4 Coupl Oscllors! H& con 4. Wh W D s T " u forc oscllon " olv h quon of oon wh frcon n foun h sy-s soluon " Oscllon bcos lr nr h rsonnc frquncy " hs chns fro 0 π/ π s h frquncy ncrss

More information

State Observer Design

State Observer Design Sa Obsrvr Dsgn A. Khak Sdgh Conrol Sysms Group Faculy of Elcrcal and Compur Engnrng K. N. Toos Unvrsy of Tchnology Fbruary 2009 1 Problm Formulaon A ky assumpon n gnvalu assgnmn and sablzng sysms usng

More information

Fluctuation-Electromagnetic Interaction of Rotating Neutral Particle with the Surface: Relativistic Theory

Fluctuation-Electromagnetic Interaction of Rotating Neutral Particle with the Surface: Relativistic Theory Fluuaon-lroagn Inraon of Roang Nural Parl w Surfa: Rlavs or A.A. Kasov an G.V. Dov as on fluuaon-lroagn or w av alula rar for of araon fronal on an ang ra of a nural parl roang nar a polarabl surfa. parl

More information

Engineering Circuit Analysis 8th Edition Chapter Nine Exercise Solutions

Engineering Circuit Analysis 8th Edition Chapter Nine Exercise Solutions Engnrng rcu naly 8h Eon hapr Nn Exrc Soluon. = KΩ, = µf, an uch ha h crcu rpon oramp. a For Sourc-fr paralll crcu: For oramp or b H 9V, V / hoo = H.7.8 ra / 5..7..9 9V 9..9..9 5.75,.5 5.75.5..9 . = nh,

More information

Consider a system of 2 simultaneous first order linear equations

Consider a system of 2 simultaneous first order linear equations Soluon of sysms of frs ordr lnar quaons onsdr a sysm of smulanous frs ordr lnar quaons a b c d I has h alrna mar-vcor rprsnaon a b c d Or, n shorhand A, f A s alrady known from con W know ha h abov sysm

More information

A L A BA M A L A W R E V IE W

A L A BA M A L A W R E V IE W A L A BA M A L A W R E V IE W Volume 52 Fall 2000 Number 1 B E F O R E D I S A B I L I T Y C I V I L R I G HT S : C I V I L W A R P E N S I O N S A N D TH E P O L I T I C S O F D I S A B I L I T Y I N

More information

FREE VIBRATION ANALYSIS OF FUNCTIONALLY GRADED BEAMS

FREE VIBRATION ANALYSIS OF FUNCTIONALLY GRADED BEAMS Journal of Appl Mathatcs an Coputatonal Mchancs, (), 9- FREE VIBRATION ANAYSIS OF FNCTIONAY GRADED BEAMS Stansław Kukla, Jowta Rychlwska Insttut of Mathatcs, Czstochowa nvrsty of Tchnology Czstochowa,

More information

Partition Functions for independent and distinguishable particles

Partition Functions for independent and distinguishable particles 0.0J /.77J / 5.60J hrodynacs of oolcular Syss Insrucors: Lnda G. Grffh, Kbrly Haad-Schffrl, Moung G. awnd, Robr W. Fld Lcur 5 5.60/0.0/.77 vs. q for dsngushabl vs ndsngushabl syss Drvaon of hrodynac Proprs

More information

Phys463.nb Conductivity. Another equivalent definition of the Fermi velocity is

Phys463.nb Conductivity. Another equivalent definition of the Fermi velocity is 39 Anohr quival dfiniion of h Fri vlociy is pf vf (6.4) If h rgy is a quadraic funcion of k H k L, hs wo dfiniions ar idical. If is NOT a quadraic funcion of k (which could happ as will b discussd in h

More information

9. Simple Rules for Monetary Policy

9. Simple Rules for Monetary Policy 9. Smpl Ruls for Monar Polc John B. Talor, Ma 0, 03 Woodford, AR 00 ovrvw papr Purpos s o consdr o wha xn hs prscrpon rsmbls h sor of polc ha conomc hor would rcommnd Bu frs, l s rvw how hs sor of polc

More information

The Variance-Covariance Matrix

The Variance-Covariance Matrix Th Varanc-Covaranc Marx Our bggs a so-ar has bn ng a lnar uncon o a s o daa by mnmzng h las squars drncs rom h o h daa wh mnsarch. Whn analyzng non-lnar daa you hav o us a program l Malab as many yps o

More information

Supplementary Figure 1. Experiment and simulation with finite qudit. anharmonicity. (a), Experimental data taken after a 60 ns three-tone pulse.

Supplementary Figure 1. Experiment and simulation with finite qudit. anharmonicity. (a), Experimental data taken after a 60 ns three-tone pulse. Supplmnar Fgur. Eprmn and smulaon wh fn qud anharmonc. a, Eprmnal daa akn afr a 6 ns hr-on puls. b, Smulaon usng h amlonan. Supplmnar Fgur. Phagoran dnamcs n h m doman. a, Eprmnal daa. Th hr-on puls s

More information

Summary: Solving a Homogeneous System of Two Linear First Order Equations in Two Unknowns

Summary: Solving a Homogeneous System of Two Linear First Order Equations in Two Unknowns Summary: Solvng a Homognous Sysm of Two Lnar Frs Ordr Equaons n Two Unknowns Gvn: A Frs fnd h wo gnvalus, r, and hr rspcv corrspondng gnvcors, k, of h coffcn mar A Dpndng on h gnvalus and gnvcors, h gnral

More information

t=0 t>0: + vr - i dvc Continuation

t=0 t>0: + vr - i dvc Continuation hapr Ga Dlay and rcus onnuaon s rcu Equaon >: S S Ths dffrnal quaon, oghr wh h nal condon, fully spcfs bhaor of crcu afr swch closs Our n challng: larn how o sol such quaons TUE/EE 57 nwrk analys 4/5 NdM

More information

EE"232"Lightwave"Devices Lecture"16:"p7i7n"Photodiodes"and" Photoconductors"

EE232LightwaveDevices Lecture16:p7i7nPhotodiodesand Photoconductors EE"232"Lgwav"Dvcs Lcur"16:"p77n"Pooos"an" Pooconucors" Rang:"Cuang,"Cap."15"(2 n E) Insrucor:"Mng"C."Wu Unvrsy"of"Calforna,"Brkly Elcrcal"Engnrng"an"Compur"Scncs"Dp. EE232$Lcur$16-1 Rvrs"bas%p""n%juncon

More information

Yong-Hwan Lee School of Electrical Engineering and INMC Seoul National University Kwanak P. O. Box 34, Seoul Korea

Yong-Hwan Lee School of Electrical Engineering and INMC Seoul National University Kwanak P. O. Box 34, Seoul Korea Har Dcson obnng-bas oopratv Spctru Snsng n ogntv Rao Systs Sung-Han School o Elctrcal Engnrng an INM Soul Natonal Unvrsty Kana P O Box 34 Soul 5-6 Kora lsh8@ttlsnuacr Dong-han Oh School o Elctrcal Engnrng

More information

Microscopic Flow Characteristics Time Headway - Distribution

Microscopic Flow Characteristics Time Headway - Distribution CE57: Traffic Flow Thory Spring 20 Wk 2 Modling Hadway Disribuion Microscopic Flow Characrisics Tim Hadway - Disribuion Tim Hadway Dfiniion Tim Hadway vrsus Gap Ahmd Abdl-Rahim Civil Enginring Dparmn,

More information

P a g e 5 1 of R e p o r t P B 4 / 0 9

P a g e 5 1 of R e p o r t P B 4 / 0 9 P a g e 5 1 of R e p o r t P B 4 / 0 9 J A R T a l s o c o n c l u d e d t h a t a l t h o u g h t h e i n t e n t o f N e l s o n s r e h a b i l i t a t i o n p l a n i s t o e n h a n c e c o n n e

More information

Ergodic Capacity of a SIMO System Over Nakagami-q Fading Channel

Ergodic Capacity of a SIMO System Over Nakagami-q Fading Channel DUET Journal Vol., Issu, Jun Ergodc apac of a SIO Ssm Ovr Nakagam-q Fadng hannl d. Sohdul Islam * and ohammad akbul Islam Dp. of Elcrcal and Elcronc Engnrng, Islamc Unvrs of Tchnolog (IUT, Gazpur, Bangladsh

More information

Computational prediction of high ZT of n-type Mg 3 Sb 2 - based compounds with isotropic thermoelectric conduction performance

Computational prediction of high ZT of n-type Mg 3 Sb 2 - based compounds with isotropic thermoelectric conduction performance Elcronic Supplnary Marial (ES for Physical Chisry Chical Physics. This journal is h Ownr Sociis 08 Supporing nforaion Copuaional prdicion of high ZT of n-yp Mg 3 Sb - basd copounds wih isoropic hrolcric

More information

Sklar: Sections (4.4.2 is not covered).

Sklar: Sections (4.4.2 is not covered). COSC 44: Dgal Councaons Insrucor: Dr. Ar Asf Deparen of Copuer Scence and Engneerng York Unversy Handou # 6: Bandpass Modulaon opcs:. Phasor Represenaon. Dgal Modulaon Schees: PSK FSK ASK APK ASK/FSK)

More information

Artificial Noise Based Secure Transmission Scheme in Multiple Antenna Systems

Artificial Noise Based Secure Transmission Scheme in Multiple Antenna Systems Intrnational Journal of Appli Enginring Rsarch ISSN 973-46 Volu, Nubr (6) pp 76-7 Rsarch Inia Publications http://wwwripublicationco Artificial Nois Bas Scur Transission Sch in ultipl Antnna Systs Bangwon

More information

Modified-Zero-Fourth-Order-Cumulant-Expansion Approximation Method for Investigation of Turbulence with Reacting and Mixing Chemical Elements

Modified-Zero-Fourth-Order-Cumulant-Expansion Approximation Method for Investigation of Turbulence with Reacting and Mixing Chemical Elements IOS Journal of Mahmacs IOS-JM ISSN: 78-578. olum 3 Issu Sp-Oc. PP 37-53 Mof-Zro-Fourh-Orr-Cumulan-xpanson pproxmaon Mho for Invsgaon of urbulnc wh acng an Mxng Chmcal lmns M.C.Mshram an Kr Sahu Dparmn

More information

Frequency Response. Response of an LTI System to Eigenfunction

Frequency Response. Response of an LTI System to Eigenfunction Frquncy Rsons Las m w Rvsd formal dfnons of lnary and m-nvaranc Found an gnfuncon for lnar m-nvaran sysms Found h frquncy rsons of a lnar sysm o gnfuncon nu Found h frquncy rsons for cascad, fdbac, dffrnc

More information

Fractal diffusion retrospective problems

Fractal diffusion retrospective problems Iraoa ora o App Mahac croc a Copr Avac Tchoo a Scc ISSN: 47-8847-6799 wwwaccor/iamc Ora Rarch Papr Fraca o rropcv prob O Yaro Rcv 6 h Ocobr 3 Accp 4 h aar 4 Abrac: I h arc w h rropcv vr prob Th rropcv

More information

William E. Winkler* Stat. Research Division, Room , U.S. Bureau of the Census, Washington, DC 20233

William E. Winkler* Stat. Research Division, Room , U.S. Bureau of the Census, Washington, DC 20233 IMPROVD DCISION RULS IN TH FLLGI-SUNTR MODL OF RCORD LINKAG Wlla. Wnklr* Sa. Rsarch Dvson, Roo 3000-4, U.S. Burau of h Cnsus, Washngon, DC 20233 ABSTRACT Many applcaons of h FUg-Sunr ol us splfyng assupons

More information

Central University of Finance and Economics, Beijing, China. *Corresponding author

Central University of Finance and Economics, Beijing, China. *Corresponding author 016 Jon Inrnaonal Confrnc on Arfcal Inllgnc and Copur Engnrng (AICE 016) and Inrnaonal Confrnc on Nwork and Councaon Scury (NCS 016) ISBN: 978-1-60595-36-5 AdaBoos Arfcal Nural Nwork for Sock Mark Prdcng

More information

V A. V-A ansatz for fundamental fermions

V A. V-A ansatz for fundamental fermions Avan Parl Phy: I. ak nraon. A Thory Carfl analy of xprnal aa (pary volaon, nrno hly pn hang n nlar β-ay, on ay propr oghr w/ nvraly fnally l o h -A hory of (nlar wak ay: M A A ( ( ( ( v p A n nlon lpon

More information

NAME: ANSWER KEY DATE: PERIOD. DIRECTIONS: MULTIPLE CHOICE. Choose the letter of the correct answer.

NAME: ANSWER KEY DATE: PERIOD. DIRECTIONS: MULTIPLE CHOICE. Choose the letter of the correct answer. R A T T L E R S S L U G S NAME: ANSWER KEY DATE: PERIOD PREAP PHYSICS REIEW TWO KINEMATICS / GRAPHING FORM A DIRECTIONS: MULTIPLE CHOICE. Chs h r f h rr answr. Us h fgur bw answr qusns 1 and 2. 0 10 20

More information

Chapter 5 Transient Analysis

Chapter 5 Transient Analysis hpr 5 rs Alyss Jsug Jg ompl rspos rs rspos y-s rspos m os rs orr co orr Dffrl Equo. rs Alyss h ffrc of lyss of crcus wh rgy sorg lms (ucors or cpcors) & m-ryg sgls wh rss crcus s h h quos rsulg from r

More information

Chemistry 342 Spring, The Hydrogen Atom.

Chemistry 342 Spring, The Hydrogen Atom. Th Hyrogn Ato. Th quation. Th first quation w want to sov is φ This quation is of faiiar for; rca that for th fr partic, w ha ψ x for which th soution is Sinc k ψ ψ(x) a cos kx a / k sin kx ± ix cos x

More information

C 2.21 EDGEWATER HEIGHTS CITY OF MUSKEGO, WI INTERIM GRADING PLAN SEE SHEET C 2.0 LEGEND EDGEWATER COURT NORTHEAST BASIN #1 20 PHASE 1

C 2.21 EDGEWATER HEIGHTS CITY OF MUSKEGO, WI INTERIM GRADING PLAN SEE SHEET C 2.0 LEGEND EDGEWATER COURT NORTHEAST BASIN #1 20 PHASE 1 AIN NOS: S OL NON- AIN SHON SHOUL B CONSI INIM AN PSNS H AS HA H CONACO SHOUL LAV H SI HN AIN IS FINISH INIM AIN ON LOS SHALL NSU POSIIV AINA O H BASINS ACCUACY OF ALL SPO LVAIONS SHALL B O: SCON O, CLASS

More information

1. Quark mixing and CKM matrix

1. Quark mixing and CKM matrix Avan arl hy: IX. Flavor Ollaon an C olaon IX. Flavor ollaon an C volaon. Quark xng an h CM arx. Flavor ollaon: Mxng o nural on 3. C volaon. Nurno ollaon. Quark xng an CM arx. Quark xng: Ma gna ar no ual

More information

Lecture 4 : Backpropagation Algorithm. Prof. Seul Jung ( Intelligent Systems and Emotional Engineering Laboratory) Chungnam National University

Lecture 4 : Backpropagation Algorithm. Prof. Seul Jung ( Intelligent Systems and Emotional Engineering Laboratory) Chungnam National University Lcur 4 : Bacpropagaon Algorhm Pro. Sul Jung Inllgn Sm and moonal ngnrng Laboraor Chungnam Naonal Unvr Inroducon o Bacpropagaon algorhm 969 Mn and Papr aac. 980 Parr and Wrbo dcovrd bac propagaon algorhm.

More information

Series of New Information Divergences, Properties and Corresponding Series of Metric Spaces

Series of New Information Divergences, Properties and Corresponding Series of Metric Spaces Srs of Nw Iforao Dvrgcs, Proprs ad Corrspodg Srs of Mrc Spacs K.C.Ja, Praphull Chhabra Profssor, Dpar of Mahacs, Malavya Naoal Isu of Tchology, Japur (Rajasha), Ida Ph.d Scholar, Dpar of Mahacs, Malavya

More information

Problem analysis in MW frequency control of an Interconnected Power system using sampled data technique

Problem analysis in MW frequency control of an Interconnected Power system using sampled data technique Inrnaonal Journal o La rnd n Engnrng and chnology IJLE robl analy n MW rquncy conrol o an Inrconncd owr y ung apld daa chnqu payan Guha parn o Elcrcal Engnrng Fnal Yar M.ch Sudn, Aanol Engnrng Collg, Aanol,

More information

Transient Analysis of Two-dimensional State M/G/1 Queueing Model with Multiple Vacations and Bernoulli Schedule

Transient Analysis of Two-dimensional State M/G/1 Queueing Model with Multiple Vacations and Bernoulli Schedule Inrnaonal Journal of Compur Applcaons (975 8887) Volum 4 No.3, Fbruary 22 Transn Analyss of Two-dmnsonal Sa M/G/ Quung Modl wh Mulpl Vacaons and Brnoull Schdul Indra Assoca rofssor Dparmn of Sascs and

More information

Chap 2: Reliability and Availability Models

Chap 2: Reliability and Availability Models Chap : lably ad valably Modls lably = prob{s s fully fucog [,]} Suppos from [,] m prod, w masur ou of N compos, of whch N : # of compos oprag corrcly a m N f : # of compos whch hav fald a m rlably of h

More information

4.1 The Uniform Distribution Def n: A c.r.v. X has a continuous uniform distribution on [a, b] when its pdf is = 1 a x b

4.1 The Uniform Distribution Def n: A c.r.v. X has a continuous uniform distribution on [a, b] when its pdf is = 1 a x b 4. Th Uniform Disribuion Df n: A c.r.v. has a coninuous uniform disribuion on [a, b] whn is pdf is f x a x b b a Also, b + a b a µ E and V Ex4. Suppos, h lvl of unblivabiliy a any poin in a Transformrs

More information

Lecture 1: Numerical Integration The Trapezoidal and Simpson s Rule

Lecture 1: Numerical Integration The Trapezoidal and Simpson s Rule Lcur : Numrical ngraion Th Trapzoidal and Simpson s Rul A problm Th probabiliy of a normally disribud (man µ and sandard dviaion σ ) vn occurring bwn h valus a and b is B A P( a x b) d () π whr a µ b -

More information

Chapter 7. Now, for 2) 1. 1, if z = 1, Thus, Eq. (7.20) holds

Chapter 7. Now, for 2) 1. 1, if z = 1, Thus, Eq. (7.20) holds Chapr 7, n, 7 Ipuls rspons of h ovng avrag flr s: h[, ohrws sn / / Is frquny rspons s: sn / Now, for a BR ransfr funon,, For h ovng-avrag flr, sn / W shall show by nduon ha sn / sn / sn /,, Now, for sn

More information

SPACE TYPES & REQUIREMENTS

SPACE TYPES & REQUIREMENTS SPACE TYPES & REQUIREENTS 2 Fby 2012 Gys Sh Typ: K E H 1 2 3 5 6 7 8 9 10 11 12 Ajy D (Hh Sh) F A Dsps Th fs f phys hs vv sps f h hhy fsy f vs. Phys s hf w fss wss hh vy hy-bs s f hhy fsy hs. Gy sps sh

More information

innovations shocks white noise

innovations shocks white noise Innovaons Tm-srs modls ar consrucd as lnar funcons of fundamnal forcasng rrors, also calld nnovaons or shocks Ths basc buldng blocks sasf var σ Srall uncorrlad Ths rrors ar calld wh nos In gnral, f ou

More information

T h e C S E T I P r o j e c t

T h e C S E T I P r o j e c t T h e P r o j e c t T H E P R O J E C T T A B L E O F C O N T E N T S A r t i c l e P a g e C o m p r e h e n s i v e A s s es s m e n t o f t h e U F O / E T I P h e n o m e n o n M a y 1 9 9 1 1 E T

More information

Institute of Actuaries of India

Institute of Actuaries of India Insiu of Acuaris of India ubjc CT3 Probabiliy and Mahmaical aisics Novmbr Examinaions INDICATIVE OLUTION Pag of IAI CT3 Novmbr ol. a sampl man = 35 sampl sandard dviaion = 36.6 b for = uppr bound = 35+*36.6

More information

Optimal Multi Antenna Spectrum Sensing Technique For Cognitive Radio

Optimal Multi Antenna Spectrum Sensing Technique For Cognitive Radio L C T R O I C R A R C A R T I C L Opal Mul Annna pcru nng Tchnqu For Cognv Rao Dlp Bapala Dparn o lcronc an Councaon ngnrng GITAM Unvry Vahapana Ahra rah Ina 53 5. lp@ga.u lp@gal.co ABTRACT I onln: 39-

More information

A Simple Representation of the Weighted Non-Central Chi-Square Distribution

A Simple Representation of the Weighted Non-Central Chi-Square Distribution SSN: 9-875 raoa Joura o ovav Rarch Scc grg a Tchoogy (A S 97: 7 Cr rgaao) Vo u 9 Sbr A S Rrao o h Wgh No-Cra Ch-Squar Drbuo Dr ay A hry Dr Sahar A brah Dr Ya Y Aba Proor D o Mahaca Sac u o Saca Su a Rarch

More information

The Exile Began. Family Journal Page. God Called Jeremiah Jeremiah 1. Preschool. below. Tell. them too. Kids. Ke Passage: Ezekiel 37:27

The Exile Began. Family Journal Page. God Called Jeremiah Jeremiah 1. Preschool. below. Tell. them too. Kids. Ke Passage: Ezekiel 37:27 Faily Jo Pag Th Exil Bg io hy u c prof b jo ou Shar ab ou job ab ar h o ay u Yo ra u ar u r a i A h ) ar par ( grp hav h y y b jo i crib blo Tll ri ir r a r gro up Allo big u r a i Rvi h b of ha u ha a

More information

Generalized Half Linear Canonical Transform And Its Properties

Generalized Half Linear Canonical Transform And Its Properties Gnrlz Hl Lnr Cnoncl Trnorm An I Propr A S Guh # A V Joh* # Gov Vrh Inu o Scnc n Humn, Amrv M S * Shnkrll Khnlwl Collg, Akol - 444 M S Arc: A gnrlzon o h Frconl Fourr rnorm FRFT, h lnr cnoncl rnorm LCT

More information

5 H o w t o u s e t h e h o b 1 8

5 H o w t o u s e t h e h o b 1 8 P l a s r a d h i s m a n u a l f i r s. D a r C u s m r, W w u l d l i k y u bb a si n p r hf r m a n cf r m y u r p r d u c h a h a s b n m a n u f a c u r d m d r n f a c i l iu n id s r s r i c q u

More information

English Made Easy: Foundation Book 1 Notes for parents

English Made Easy: Foundation Book 1 Notes for parents a nh Ma ay: Fnan 1 pan h b n hp y ch an ay an by cn n h n n ach h n h aphab. h h achn an ca phnc. h nan, achn an wn ac w nca y ch an h na ach, a w a h n n ach a an hw wn n h pa. y cpn h pa h b, y ch w

More information

(heat loss divided by total enthalpy flux) is of the order of 8-16 times

(heat loss divided by total enthalpy flux) is of the order of 8-16 times 16.51, Rok Prolson Prof. Manl Marnz-Sanhz r 8: Convv Ha ransfr: Ohr Effs Ovrall Ha oss and Prforman Effs of Ha oss (1) Ovrall Ha oss h loal ha loss r n ara s q = ρ ( ) ngrad ha loss s a S, and sng m =

More information

Random Access Techniques: ALOHA (cont.)

Random Access Techniques: ALOHA (cont.) Random Accss Tchniqus: ALOHA (cont.) 1 Exampl [ Aloha avoiding collision ] A pur ALOHA ntwork transmits a 200-bit fram on a shard channl Of 200 kbps at tim. What is th rquirmnt to mak this fram collision

More information

Applying Software Reliability Techniques to Low Retail Demand Estimation

Applying Software Reliability Techniques to Low Retail Demand Estimation Applyng Sofwar Rlably Tchnqus o Low Ral Dmand Esmaon Ma Lndsy Unvrsy of Norh Txas ITDS Dp P.O. Box 30549 Dnon, TX 7603-549 940 565 3174 lndsym@un.du Robr Pavur Unvrsy of Norh Txas ITDS Dp P.O. Box 30549

More information

Determination of effective atomic numbers from mass attenuation coefficients of tissue-equivalent materials in the energy range 60 kev-1.

Determination of effective atomic numbers from mass attenuation coefficients of tissue-equivalent materials in the energy range 60 kev-1. Journal of Physcs: Confrnc Srs PAPER OPEN ACCESS Drmnaon of ffcv aomc numbrs from mass anuaon coffcns of ssu-quvaln marals n h nrgy rang 6 kv-.33 MV To c hs arcl: Noorfan Ada B. Amn al 7 J. Phys.: Conf.

More information

FAULT TOLERANT SYSTEMS

FAULT TOLERANT SYSTEMS FAULT TOLERANT SYSTEMS hp://www.cs.umass.du/c/orn/faultolransysms ar 4 Analyss Mhods Chapr HW Faul Tolranc ar.4.1 Duplx Sysms Boh procssors xcu h sam as If oupus ar n agrmn - rsul s assumd o b corrc If

More information

Bethe-Salpeter Equation Green s Function and the Bethe-Salpeter Equation for Effective Interaction in the Ladder Approximation

Bethe-Salpeter Equation Green s Function and the Bethe-Salpeter Equation for Effective Interaction in the Ladder Approximation Bh-Salp Equaon n s Funcon and h Bh-Salp Equaon fo Effcv Inacon n h Ladd Appoxmaon Csa A. Z. Vasconcllos Insuo d Físca-UFRS - upo: Físca d Hadons Sngl-Pacl Popagao. Dagam xpanson of popagao. W consd as

More information

CreditGrades Framework within Stochastic Covariance Models

CreditGrades Framework within Stochastic Covariance Models Journal of Mahacal Fnanc 0 303-3 hp://dxdoorg/036/jf0033 Publshd Onln Novbr 0 (hp://wwwscrporg/journal/jf) CrdGrads Frawork whn Sochasc Covaranc Modls Marcos Escobar Hadrza Aran Lus Sco 3 Dparn of Mahacs

More information

ELEN E4830 Digital Image Processing

ELEN E4830 Digital Image Processing ELEN E48 Dgal Imag Procssng Mrm Eamnaon Sprng Soluon Problm Quanzaon and Human Encodng r k u P u P u r r 6 6 6 6 5 6 4 8 8 4 P r 6 6 P r 4 8 8 6 8 4 r 8 4 8 4 7 8 r 6 6 6 6 P r 8 4 8 P r 6 6 8 5 P r /

More information

Applications of Lagrange Equations

Applications of Lagrange Equations Applcaton of agang Euaton Ca Stuy : Elctc Ccut ng th agang uaton of oton, vlop th athatcal ol fo th ccut hown n Fgu.Sulat th ult by SIMI. Th ccuty paat a: 0.0 H, 0.00 H, 0.00 H, C 0.0 F, C 0. F, 0 Ω, Ω

More information

Safety and Reliability of Embedded Systems. (Sicherheit und Zuverlässigkeit eingebetteter Systeme) Stochastic Reliability Analysis

Safety and Reliability of Embedded Systems. (Sicherheit und Zuverlässigkeit eingebetteter Systeme) Stochastic Reliability Analysis Safy and Rlably of Embddd Sysms (Schrh und Zuvrlässgk ngbr Sysm) Sochasc Rlably Analyss Safy and Rlably of Embddd Sysms Conn Dfnon of Rlably Hardwar- vs. Sofwar Rlably Tool Asssd Rlably Modlng Dscrpons

More information

EXERCISE - 01 CHECK YOUR GRASP

EXERCISE - 01 CHECK YOUR GRASP DIFFERENTIAL EQUATION EXERCISE - CHECK YOUR GRASP 7. m hn D() m m, D () m m. hn givn D () m m D D D + m m m m m m + m m m m + ( m ) (m ) (m ) (m + ) m,, Hnc numbr of valus of mn will b. n ( ) + c sinc

More information

EE Control Systems LECTURE 11

EE Control Systems LECTURE 11 Up: Moy, Ocor 5, 7 EE 434 - Corol Sy LECTUE Copyrigh FL Lwi 999 All righ rrv POLE PLACEMET A STEA-STATE EO Uig fc, o c ov h clo-loop pol o h h y prforc iprov O c lo lc uil copor o oi goo y- rcig y uyig

More information

COMPLEX NUMBER PAIRWISE COMPARISON AND COMPLEX NUMBER AHP

COMPLEX NUMBER PAIRWISE COMPARISON AND COMPLEX NUMBER AHP ISAHP 00, Bal, Indonsa, August -9, 00 COMPLEX NUMBER PAIRWISE COMPARISON AND COMPLEX NUMBER AHP Chkako MIYAKE, Kkch OHSAWA, Masahro KITO, and Masaak SHINOHARA Dpartmnt of Mathmatcal Informaton Engnrng

More information

Final Exam : Solutions

Final Exam : Solutions Comp : Algorihm and Daa Srucur Final Exam : Soluion. Rcuriv Algorihm. (a) To bgin ind h mdian o {x, x,... x n }. Sinc vry numbr xcp on in h inrval [0, n] appar xacly onc in h li, w hav ha h mdian mu b

More information

Erlkönig. t t.! t t. t t t tj "tt. tj t tj ttt!t t. e t Jt e t t t e t Jt

Erlkönig. t t.! t t. t t t tj tt. tj t tj ttt!t t. e t Jt e t t t e t Jt Gsng Po 1 Agio " " lkö (Compl by Rhol Bckr, s Moifi by Mrk S. Zimmr)!! J "! J # " c c " Luwig vn Bhovn WoO 131 (177) I Wr Who!! " J J! 5 ri ris hro' h spä h, I urch J J Nch rk un W Es n wil A J J is f

More information

Searching for pairing interactions with coherent charge fluctuations spectroscopy

Searching for pairing interactions with coherent charge fluctuations spectroscopy Sarchng for parng nracons wh cohrn charg flucuaons spcroscopy J. Lornzana ISC-CNR, Sapnza, Unvrsy of Rom B. Mansar, A. Mann, A. Odh, M. Scaronglla, M. Chrgu, F. Carbon EPFL, Lausann Ouln Raman scarng Cohrn

More information

Guo, James C.Y. (1998). "Overland Flow on a Pervious Surface," IWRA International J. of Water, Vol 23, No 2, June.

Guo, James C.Y. (1998). Overland Flow on a Pervious Surface, IWRA International J. of Water, Vol 23, No 2, June. Guo, Jams C.Y. (006). Knmatc Wav Unt Hyrograph for Storm Watr Prctons, Vol 3, No. 4, ASCE J. of Irrgaton an Dranag Engnrng, July/August. Guo, Jams C.Y. (998). "Ovrlan Flow on a Prvous Surfac," IWRA Intrnatonal

More information

Additional Math (4047) Paper 2 (100 marks) y x. 2 d. d d

Additional Math (4047) Paper 2 (100 marks) y x. 2 d. d d Aitional Math (07) Prpar b Mr Ang, Nov 07 Fin th valu of th constant k for which is a solution of th quation k. [7] Givn that, Givn that k, Thrfor, k Topic : Papr (00 marks) Tim : hours 0 mins Nam : Aitional

More information

n r t d n :4 T P bl D n, l d t z d th tr t. r pd l

n r t d n :4 T P bl D n, l d t z d   th tr t. r pd l n r t d n 20 20 :4 T P bl D n, l d t z d http:.h th tr t. r pd l 2 0 x pt n f t v t, f f d, b th n nd th P r n h h, th r h v n t b n p d f r nt r. Th t v v d pr n, h v r, p n th pl v t r, d b p t r b R

More information

Unit 7 Charge-to-mass ratio of the electron

Unit 7 Charge-to-mass ratio of the electron Unit 7 Charg-to-ass ratio of th lctron Kywords: J. J. Thoson, Lorntz Forc, Magntic Filds Objctiv: Obsrv th rsults of lctron ba influncd by th agntic fild and calculat th charg-to-ass ratio of th lctron.

More information

4 4 N v b r t, 20 xpr n f th ll f th p p l t n p pr d. H ndr d nd th nd f t v L th n n f th pr v n f V ln, r dn nd l r thr n nt pr n, h r th ff r d nd

4 4 N v b r t, 20 xpr n f th ll f th p p l t n p pr d. H ndr d nd th nd f t v L th n n f th pr v n f V ln, r dn nd l r thr n nt pr n, h r th ff r d nd n r t d n 20 20 0 : 0 T P bl D n, l d t z d http:.h th tr t. r pd l 4 4 N v b r t, 20 xpr n f th ll f th p p l t n p pr d. H ndr d nd th nd f t v L th n n f th pr v n f V ln, r dn nd l r thr n nt pr n,

More information

Theoretical Seismology

Theoretical Seismology Thorcal Ssmology Lcur 9 Sgnal Procssng Fourr analyss Fourr sudd a h Écol Normal n Pars, augh by Lagrang, who Fourr dscrbd as h frs among Europan mn of scnc, Laplac, who Fourr rad lss hghly, and by Mong.

More information

PHYS ,Fall 05, Term Exam #1, Oct., 12, 2005

PHYS ,Fall 05, Term Exam #1, Oct., 12, 2005 PHYS1444-,Fall 5, Trm Exam #1, Oct., 1, 5 Nam: Kys 1. circular ring of charg of raius an a total charg Q lis in th x-y plan with its cntr at th origin. small positiv tst charg q is plac at th origin. What

More information

35H MPa Hydraulic Cylinder 3.5 MPa Hydraulic Cylinder 35H-3

35H MPa Hydraulic Cylinder 3.5 MPa Hydraulic Cylinder 35H-3 - - - - ff ff - - - - - - B B BB f f f f f f f 6 96 f f f f f f f 6 f LF LZ f 6 MM f 9 P D RR DD M6 M6 M6 M. M. M. M. M. SL. E 6 6 9 ZB Z EE RC/ RC/ RC/ RC/ RC/ ZM 6 F FP 6 K KK M. M. M. M. M M M M f f

More information

Joint State and Parameter Estimation by Extended Kalman Filter (EKF) technique

Joint State and Parameter Estimation by Extended Kalman Filter (EKF) technique Inrnaonal Journal o Engnrng Rsarch an Dvlopmn -ISSN: 78-67 p-issn: 78-8 www.jr.com Volum Issu 8 (Augus 5.4-5 Jon Sa an aramr Esmaon by En alman Flr (EF chnu S. Damoharao.S.L.V. Ayyarao G Sun Dp. o EEE

More information

SOME PECULIARITY OF THE PHOTON ACTIVATION ANALYSIS BY BREMSSTRAHLUNG GAMMA-RAY 1. INTRODUCTION

SOME PECULIARITY OF THE PHOTON ACTIVATION ANALYSIS BY BREMSSTRAHLUNG GAMMA-RAY 1. INTRODUCTION OM PCULIRITY OF TH PHOTON CTIVTION NLYI BY BRMTRHLUNG GMM-RY G.Khuukhnkhuu, Yu.M.Glnov,.Turol, D.Baaarkhuu, J.Munkhsakhan an M.Osurn Nuclar Rsarch Cnr, Naonal Unvrsy o Mongola, Ulaanaaar, Mongola Frank

More information

EE 232 Lightwave Devices. Photodiodes

EE 232 Lightwave Devices. Photodiodes EE 3 Lgwav Dvcs Lcur 8: oocoucors a p-- ooos Rag: Cuag, Cap. 4 Isrucor: Mg C. Wu Uvrsy of Calfora, Brkly Elcrcal Egrg a Compur Sccs Dp. EE3 Lcur 8-8. Uvrsy of Calfora oocoucors ω + - x Ara w L Euval Crcu

More information

V.Abramov - FURTHER ANALYSIS OF CONFIDENCE INTERVALS FOR LARGE CLIENT/SERVER COMPUTER NETWORKS

V.Abramov - FURTHER ANALYSIS OF CONFIDENCE INTERVALS FOR LARGE CLIENT/SERVER COMPUTER NETWORKS R&RATA # Vol.) 8, March FURTHER AALYSIS OF COFIDECE ITERVALS FOR LARGE CLIET/SERVER COMPUTER ETWORKS Vyacheslav Abramov School of Mahemacal Scences, Monash Unversy, Buldng 8, Level 4, Clayon Campus, Wellngon

More information

Dynamic Team Decision Theory. EECS 558 Project Shrutivandana Sharma and David Shuman December 10, 2005

Dynamic Team Decision Theory. EECS 558 Project Shrutivandana Sharma and David Shuman December 10, 2005 Dynamc Team Decson Theory EECS 558 Proec Shruvandana Sharma and Davd Shuman December 0, 005 Oulne Inroducon o Team Decson Theory Decomposon of he Dynamc Team Decson Problem Equvalence of Sac and Dynamc

More information

LQR based Speed Control of BLDC Motors

LQR based Speed Control of BLDC Motors G Inrnaonal ournal o Elcrcal and Elcronc Engnrng (G-IEEE) volu 3 Iu 6 un 6 Q bad pd Conrol o BDC Moor Mha M., Awn.B.G udn, Aan proor Elcrcal & Elcronc Dp. Mar Balo collg o Engnrng, hruvananhapura, rala,

More information

CHAPTER 4. The First Law of Thermodynamics for Control Volumes

CHAPTER 4. The First Law of Thermodynamics for Control Volumes CHAPTER 4 T Frst Law of Trodynacs for Control olus CONSERATION OF MASS Consrvaton of ass: Mass, lk nrgy, s a consrvd proprty, and t cannot b cratd or dstroyd durng a procss. Closd systs: T ass of t syst

More information

Numerical contribution to the viscoelastic magnetic lubrication of human joint in periodic motion

Numerical contribution to the viscoelastic magnetic lubrication of human joint in periodic motion ca of Bongnrng an Bomcancs ol. 6 No. 4 Numrcal conrbuon o scolasc magnc lubrcaon of uman jon n proc moon KZYSZTOF C. WIEZCOLSKI Tcncal nrsy of Gańs Faculy of Ocan Engnrng an Sp Tcnology 8-95 Gańs Gyna

More information

Wireless & Hybrid Fire Solutions

Wireless & Hybrid Fire Solutions ic b 8 c b u i N5 b 4o 25 ii p f i b p r p ri u o iv p i o c v p c i b A i r v Hri F N R L L T L RK N R L L rr F F r P o F i c b T F c c A vri r of op oc F r P, u icoc b ric, i fxib r i i ribi c c A K

More information

Anouncements. Conjugate Gradients. Steepest Descent. Outline. Steepest Descent. Steepest Descent

Anouncements. Conjugate Gradients. Steepest Descent. Outline. Steepest Descent. Steepest Descent oucms Couga Gas Mchal Kazha (6.657) Ifomao abou h Sma (6.757) hav b pos ol: hp://www.cs.hu.u/~msha Tch Spcs: o M o Tusay afoo. o Two paps scuss ach w. o Vos fo w s caa paps u by Thusay vg. Oul Rvw of Sps

More information

4 8 N v btr 20, 20 th r l f ff nt f l t. r t pl n f r th n tr t n f h h v lr d b n r d t, rd n t h h th t b t f l rd n t f th rld ll b n tr t d n R th

4 8 N v btr 20, 20 th r l f ff nt f l t. r t pl n f r th n tr t n f h h v lr d b n r d t, rd n t h h th t b t f l rd n t f th rld ll b n tr t d n R th n r t d n 20 2 :24 T P bl D n, l d t z d http:.h th tr t. r pd l 4 8 N v btr 20, 20 th r l f ff nt f l t. r t pl n f r th n tr t n f h h v lr d b n r d t, rd n t h h th t b t f l rd n t f th rld ll b n

More information

NEW FLOODWAY (CLOMR) TE TE PIN: GREENS OF ROCK HILL, LLC DB: 12209, PG: ' S67 46'18"E APPROX. FLOODWAY NEW BASE FLOOD (CLOMR)

NEW FLOODWAY (CLOMR) TE TE PIN: GREENS OF ROCK HILL, LLC DB: 12209, PG: ' S67 46'18E APPROX. FLOODWAY NEW BASE FLOOD (CLOMR) W LOOWY (LOMR) RVRWLK PKWY ROK HLL, S PPROX. LOOWY W BS LOO (LOMR) lient nformation 4 SS- RM:4 V : PV Pipe V OU: PV Pipe JB SS- RM: V OU: PV Pipe RU R " PV Pipe @. LO SPS OL SSBL GRL ORMO: S OS: M BS LOO

More information

Outlier-tolerant parameter estimation

Outlier-tolerant parameter estimation Outlr-tolrant paramtr stmaton Baysan thods n physcs statstcs machn larnng and sgnal procssng (SS 003 Frdrch Fraundorfr fraunfr@cg.tu-graz.ac.at Computr Graphcs and Vson Graz Unvrsty of Tchnology Outln

More information

Review Lecture 5. The source-free R-C/R-L circuit Step response of an RC/RL circuit. The time constant = RC The final capacitor voltage v( )

Review Lecture 5. The source-free R-C/R-L circuit Step response of an RC/RL circuit. The time constant = RC The final capacitor voltage v( ) Rviw Lcur 5 Firs-ordr circui Th sourc-fr R-C/R-L circui Sp rspons of an RC/RL circui v( ) v( ) [ v( 0) v( )] 0 Th i consan = RC Th final capacior volag v() Th iniial capacior volag v( 0 ) Volag/currn-division

More information

A New Generalized Gronwall-Bellman Type Inequality

A New Generalized Gronwall-Bellman Type Inequality 22 Inernaonal Conference on Image, Vson and Comung (ICIVC 22) IPCSIT vol. 5 (22) (22) IACSIT Press, Sngaore DOI:.7763/IPCSIT.22.V5.46 A New Generalzed Gronwall-Bellman Tye Ineualy Qnghua Feng School of

More information

Economics 302 (Sec. 001) Intermediate Macroeconomic Theory and Policy (Spring 2011) 3/28/2012. UW Madison

Economics 302 (Sec. 001) Intermediate Macroeconomic Theory and Policy (Spring 2011) 3/28/2012. UW Madison Economics 302 (Sc. 001) Inrmdia Macroconomic Thory and Policy (Spring 2011) 3/28/2012 Insrucor: Prof. Mnzi Chinn Insrucor: Prof. Mnzi Chinn UW Madison 16 1 Consumpion Th Vry Forsighd dconsumr A vry forsighd

More information