Optimal Multi Antenna Spectrum Sensing Technique For Cognitive Radio
|
|
- Paul King
- 5 years ago
- Views:
Transcription
1 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 lp@ga.u lp@gal.co ABTRACT I onln: 39- I prn: 39-5 : In h papr w conr h prary ur con probl n cognv rao y by ung ul annna a h cognv rao rcvr. An opal quar law cobnr ul annna ba pcru nng chnqu propo ung h ulapr pcru aon ho. Th ulapr pcru aon ho prouc ngl pcru a wh nu pcral laag an varanc ung an orhonoral aly o apr h Dcr rola lpan qunc D. An nrgy cor whch pl bu ha a poor proranc a a low gnal o no rao R. ywor: Cognv rao pcru nngul apr pcru aon ho ul annna pcru nng.ror. I. ITRODUCTIO Rao pcru rr o h xng naural u ha u n rn wrl councaon y an rvc: obl x all-ba an low-powr vc councaon y ulra wban nor c.[].du o ncra n wrl chnolog hr a probl o pcru cary.cognv rao CR a nw wrl councaon chnology ha agn a pcru ynacally o h conary ur whn h prary ur ar no ung lcn pcru. Thr ar rn yp o pcru nng chnqu ar hr l Mach lr nrgy cor cycloaonary ul apr ho.mach lr []an cycloaonary ar cla a hgh oranc pcru nng chnqu bu hy rqur vry prary ur ran gnal. whch rqur prary ur noraon. Th avanag n h cycloaonary con [3] whch rqur cyclc rqunc o h prary ur an alo a long nng. larly h praccal plnaon o nrgy cor ay bu gv vry poor proranc a low gnal o no rao R. II. IMORTAC OF MTOD FOR ACTRUM IG I COGITIV RADIO TOR Mulapr pcru aon ho wa propo n 98 by Thoon []. u an opal ban o ban pa lr nown a apr or wnow. Th orhonoral apr ar call Dcr rola lpan qunc D [6]. prouc a ngl pcru a wh nu pcral laag an goo varanc. Th pcru aon n an approxaon o h opal a; h axu llhoo ML On avanag or copar o ML h ac ha ha lowr copuaon coplxy. nc h r vlopn o n 98 h avanc ho ha bn wly u n any applcaon. In aon o h powr pcru aon n gnal procng an councaon applcaon u n nurocnc gophyc an onar. III. T IMORTAC OF UAG OF MULTI ATA BA CTRUM IG I CR YTM In orr o prov h paal vry clacal wrl councaon u ul annna a ranr Tx or rcvr Rx or boh. uch vry provn ncra h y aa ra IJRA Volu Iu a g 63
2 an capacy. Th raon bhn h ha a h anc bwn annna chon proprly hr wll b a hgh probably o rcvng npnn ang hrough h rn annna [9]. Thror h ang c wll b ga. IV. RGY DTCTOR Th probably o con n a h probably ha h CR cor c corrcly h prnc o h R gnal. Thror h yp o probably rla o h whch rprn h R gnal plu no whr ha r { D / } r rprn h probably.i clar p h ngraon ovr ro h hrhol o nny. nc h au a Gauan rbuon; can b n nally a ollow[5] [ p / Q VAR[ ] whr an Var ar h an an varanc o h gvn rbuon rpcvly. Th r Q h coplnary cuulav rbuon uncon Q 3 Th probably o al alar n a h probably ha h CR cor c by a h prnc o h R gnal.thror h yp o probably rla o h whch rprn h no only. r { D / } In h ca clar ha h ovr nny[5] h ngraon ro h hrhol o [ p / Q VAR[ ] whr an Var ar h an an varanc o h gvn rbuon rpcvly. 5 V. MULTI TAR CTRUM TIMATIO MTOD o o h avanag o ul apr aon ho ar. an nrgy ba pcru nng chnqu. a wban pcru nng chnqu 3. o no n any pror noraon abou h R gnal.. non cohrn nor paral cohrn.. n o now h no varanc o conrol h hrhol. 5. nz h pcral laag ou h ban an prov h varanc o a. A gnral procur or ul apr pcru aon con o our p. Fr choo a banwh prouc C = whr h apl z or aon an h banwh noralz by h apl ra. Th choc o parar C a ra-o bwn pcral roluon an varanc. Typcally 3 C 6 an w u = C aa apr o pror h aon or h raon ha wll b gvn blow. con copu h aa apr.. lpan qunc. Dno h h aa apr n vcor or by w. I can b calcula by h ollowng gn quaon 6 whr h j h nry o Toplz arx n by n w j j j j Th gn valu rang bwn an uny an ar organz n an cnng orr uch ha.... Th r [ ] o h ar ona clo o uny whra h r ar nglgbl. Morovr h apr o lowr orr hav uch rongr nrgyconcnraon capably han hr hgh-orr counrpar uggng ha uc o u h r apr or pcral aon. Thr h corrponng gnpcra ar n by Fourr ranor o h apr.. wnow aa qunc rulng n Y n w n x n j n a a uncon o rquncy r wn gn h nh nry o w. Gvn a n apl-z conran h nrgy rbuon o ach gnpcru all bwn h banwh ro o + u o IJRA Volu Iu a g 6
3 nrgy-concnraon propry o lpan qunc Fnally w cobn h gn pcra o or a ngl pcru a Y 9 whr h wghng acor /... u o accoun or h rlav poranc o h gn pcru o concrn. Th rcv R gnal a h CR rcvr apl o gnra a n cr apl r x ; M whr no h annna nubr an h nx Th cr apl ar o ulpl wh rn apr v Tapr ar D. h Th aoca gn valu o h apr. Th prouc appl o a Fourr ranor o copu h nrgy concnra n h banwh - cnr a rquncy. Th hal banwh prouc. Th oal nubr o gnra apr. Th bnary hypoh or CR pcru nng h h a h l an ung h annna branch gvn by : x : x l w l l l w l whr l=.l- OFDM bloc nx an x l w l an l no h CR rcv no a h branch an R ran apl. Th ran R gnal or by h zro an AG w l a h oupu ro h rn annna branch whch ar npnn an wh ncal varanc. For orhonoral apr u n h hr wll b rn gn pcru prouc ro ach annna n a [6] j v x l Y whr ar h noralz rquncy bn. Th powr pcru a gvn by [] Y M Th nrgy cor whn h apl ar an a unor pacng gv h powr pcru ny aon[7] j x l 3 A Dcon ac or h an Th con ac ovr L ung n h or h annna a j L v x l l 3 Th con ac ovr L ung n or h h annna a L j x l l B Man an Varanc o an ung ngl Annna For ngl annna -ba pcru nng an accorng o h cnral l hor h nubr o apl L larg h con ac aypocally norally rbu wh an[8] [ L ] L an varanc VAR LC VAR LC 6. c 5 7 Th con ac or h nrgy Dcor aypocally norally rbu wh an[9] 8 IJRA Volu Iu a g 65
4 an varanc VAR L VAR L 9 C Dcon an Fal Alar probabl For a norally rbu con ac h probabl o con an al alar ar n a / / Q VAR / / / Q VAR / Th probably o con n a / / Q VAR / Th r rbuon uncon Q h coplnary cuulav Q an rprn h chon hrhol. Thu h rn probabl o ung ngl annna can b rn a [8] Q L LC Q L 5 LC Q L LC 3 6 Th nubr o apl rqur by ung ngl annna L L L can b wrn a[8] a b L 7 whr a an b ar a b LC LC Q Q an ML LC ML D Man an Varanc o an ung M Annna Th con ac or quar law cobnng ung M annna or boh chnqu an rpcvly a ollow [] an LC LC M L v x l l M L x l l j j 8. 9 Th con ac ung quar law cobnng a u o ncal an npnn norally rbu M annna con ac. Thu h an o h ung M LC LC ML ML annna [3] can b na 3 an h varanc MLC VAR 3 LC MLC For h h an o h con ac ung quar law cobnng hrough M annna can b n a 3 VI. IMULATIO RULT In our y ach no o h cognv rao CR nwor u 6-FFT wh aplng rquncy Mz.Th prary ur R ranr u 6- IFFT wh ybol uraon T=.5μ an ran Q gnal wh noralz qual o wh ach ubcarrr. Th ul annna chnqu -LC -LC. In chnqu h u hal- an wh prouc = an h nubr o apr =5.In g.an g conr h AG channl wh R=--B an OFDM bloc. L= u n nng an h nubr o apl u L= X =6 =8 whch approxaly corrpon o 6 μ. IJRA Volu Iu a g 66
5 nubr o aplb probably o con p probably o con p.9 -LC M= -LC M= an CR-B. Thn h nal con clar o h CR no RFRC [] FCC "pcru olcy Ta Forc" FCC T Doc o 3-35 ov probably o al alar p Fg.. robably o con V probably o al alar ung an wh M= Annna a h Rcvr LC M= -LC M= [] I. F. Aylz. Y. L M. C. Vuran an. Mohany "x gnraon/ ynac pcru acc/cognv rao wrl nwor: a urvy" Copur wor vol. 5 pp [3] Y. Zng Y. C. Lang A. T. oang an R.Zhang "A rvw on pcru nng or cognv rao: challng an oluon URAI Journal on Avanc n gnal rocng vol [] D. J. Thoon "pcru aon an haronc analy rocng o h I vol. 7 pp gnal o no rao R B Fg.. gnal o no rao R V probably o con or M= Annna a h Rcvr. 7 [5] F.F Dagha M.-. Aloun an M.. on On h nrgy con o unnown gnal ovr ang channl" roc. o I In. Con. Coun. ICC 3 Anchorag UA pp May LC M= -LC M= [6] D. lpan "rola phroal wav uncon Fourr analy an uncrany. V- Th cr ca" Bll y Tchncal Journal vol. 57 pp gnal o no rao R B Fg. 3. gnal o o rao R V ubr o apl B or M= Annna a h Rcvr. VII. COCLUDIG RMAR r w conr h con o prary ur by ang an cor. Mulpl annna M= u a h rcvr. Ung ul annna n -LC gv or provn n proranc copar o ha or -LC an alo ho rqur l nubr o apl o c h prary ur copar o h. Th OR rul coopraon u o coopra h gnra bnary con ro h nvual CR no a a [7] D. B. rcval an A. T. aln pcral analy or phycal applcaon: ulapr an convnonal unvara chnqu: Cabrg Unv r 993. [8] O. A. Algha M. Z. Ah an M. A. Abu- Rgh "robabl o Dcon an Fal Alar n Mul apr Ba pcru nng or Cognv Rao y n AG" roc. o I Inl. Con. on Co. y ICC ngapor. [9] Q. Zh C. huguang an A.. ay "Opal Lnar Coopraon or pcru nng n Cognv Rao wor lc Topc n gnal rocng I Journal o vol. pp.8-8 hr IJRA Volu Iu a g 67
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 informationEngineering 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 informationEE243 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 informationProblem 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 informationChapter 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 informationA 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 informationThe 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 informationV 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 informationConsider 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 information10.5 Linear Viscoelasticity and the Laplace Transform
Scn.5.5 Lnar Vclacy and h Lalac ranfrm h Lalac ranfrm vry uful n cnrucng and analyng lnar vclac mdl..5. h Lalac ranfrm h frmula fr h Lalac ranfrm f h drvav f a funcn : L f f L f f f f f c..5. whr h ranfrm
More informationChapter 13 Laplace Transform Analysis
Chapr aplac Tranorm naly Chapr : Ouln aplac ranorm aplac Tranorm -doman phaor analy: x X σ m co ω φ x X X m φ x aplac ranorm: [ o ] d o d < aplac Tranorm Thr condon Unlaral on-dd aplac ranorm: aplac ranorm
More informationLecture 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 informationLinear Algebra. Definition The inverse of an n by n matrix A is an n by n matrix B where, Properties of Matrix Inverse. Minors and cofactors
Dfnton Th nvr of an n by n atrx A an n by n atrx B whr, Not: nar Algbra Matrx Invron atrc on t hav an nvr. If a atrx ha an nvr, thn t call. Proprt of Matrx Invr. If A an nvrtbl atrx thn t nvr unqu.. (A
More informationThe 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 informationFinal 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 informationFluctuation-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 informationWave 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 information2. The Laplace Transform
Th aac Tranorm Inroucion Th aac ranorm i a unamna an vry uu oo or uying many nginring robm To in h aac ranorm w conir a comx variab σ, whr σ i h ra ar an i h imaginary ar or ix vau o σ an w viw a a oin
More informationSummary: 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 informationGeneralized 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 informationAdvanced 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 informationPrediction 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 informationThe far field calculation: Approximate and exact solutions. Persa Kyritsi November 10th, 2005 B2-109
Th fa fl calculao: Appoa a ac oluo Pa K Novb 0h 005 B-09 Oul Novb 0h 005 Pa K Iouco Appoa oluo flco fo h gou ac oluo Cocluo Pla wav fo Ic fl: pla wav k ( ) jk H ( ) λ λ ( ) Polaao fo η 0 0 Hooal polaao
More informationImproved 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 informationLQR 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 informationValuing Credit Derivatives Using Gaussian Quadrature : A Stochastic Volatility Framework
alung Cr rvav Ung Gauan uaraur : A Sochac olaly Framwork Nabl AHANI * Fr vron: Jun h vron: January 3 Conac normaon Nabl ahan HC Monréal parmn o Fnanc Oc 4-455 3 Chmn la Cô-San-Cahrn Monral ubc Canaa H3
More informationImproved Exponential Estimator for Population Variance Using Two Auxiliary Variables
Improvd Epoal Emaor for Populao Varac Ug Two Aular Varabl Rajh gh Dparm of ac,baara Hdu Uvr(U.P., Ida (rgha@ahoo.com Pakaj Chauha ad rmala awa chool of ac, DAVV, Idor (M.P., Ida Flor maradach Dparm of
More information9. 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 informationFL/VAL ~RA1::1. Professor INTERVI of. Professor It Fr recru. sor Social,, first of all, was. Sys SDC? Yes, as a. was a. assumee.
B Pror NTERV FL/VAL ~RA1::1 1 21,, 1989 i n or Socil,, fir ll, Pror Fr rcru Sy Ar you lir SDC? Y, om um SM: corr n 'd m vry ummr yr. Now, y n y, f pr my ry for ummr my 1 yr Un So vr ummr cour d rr o l
More informationFractal 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 informationProblem 1: Consider the following stationary data generation process for a random variable y t. e t ~ N(0,1) i.i.d.
A/CN C m Sr Anal Profor Òcar Jordà Wnr conomc.c. Dav POBLM S SOLIONS Par I Analcal Quon Problm : Condr h followng aonar daa gnraon proc for a random varabl - N..d. wh < and N -. a Oban h populaon man varanc
More informationImproved Exponential Estimator for Population Variance Using Two Auxiliary Variables
Rajh gh Dparm of ac,baara Hdu Uvr(U.P.), Ida Pakaj Chauha, rmala awa chool of ac, DAVV, Idor (M.P.), Ida Flor maradach Dparm of Mahmac, Uvr of w Mco, Gallup, UA Improvd Epoal Emaor for Populao Varac Ug
More informationComparisons of the Variance of Predictors with PPS sampling (update of c04ed26.doc) Ed Stanek
Coparo o th Varac o Prdctor wth PPS aplg (updat o c04d6doc Ed Sta troducto W copar prdctor o a PSU a or total bad o PPS aplg Th tratgy to ollow that o Sta ad Sgr (JASA, 004 whr w xpr th prdctor a a lar
More informationEquil. Properties of Reacting Gas Mixtures. So far have looked at Statistical Mechanics results for a single (pure) perfect gas
Shool of roa Engnrng Equl. Prort of Ratng Ga Mxtur So far hav lookd at Stattal Mhan rult for a ngl (ur) rft ga hown how to gt ga rort (,, h, v,,, ) from artton funton () For nonratng rft ga mxtur, gt mxtur
More informationCS 491 G Combinatorial Optimization
CS 49 G Cobinatorial Optiization Lctur Nots Junhui Jia. Maiu Flow Probls Now lt us iscuss or tails on aiu low probls. Thor. A asibl low is aiu i an only i thr is no -augnting path. Proo: Lt P = A asibl
More informationCHAPTER-2. S.No Name of the Sub-Title No. 2.5 Use of Modified Heffron Phillip's model in Multi- Machine Systems 32
9 HAPT- hapr : MODIFID HFFON PHILLIP MODL.No Nam of h ub-tl Pag No.. Inroucon..3 Mollng of Powr ym Hffron Phllp Mol.4 Mof Hffron Phllp Mol 7.5 U of Mof Hffron Phllp mol n Mul- Machn ym 3 HAPT-.. Inroucon
More informationΕρωτήσεις και ασκησεις Κεφ. 10 (για μόρια) ΠΑΡΑΔΟΣΗ 29/11/2016. (d)
Ερωτήσεις και ασκησεις Κεφ 0 (για μόρια ΠΑΡΑΔΟΣΗ 9//06 Th coffcnt A of th van r Waals ntracton s: (a A r r / ( r r ( (c a a a a A r r / ( r r ( a a a a A r r / ( r r a a a a A r r / ( r r 4 a a a a 0 Th
More informationInstructors Solution for Assignment 3 Chapter 3: Time Domain Analysis of LTIC Systems
Inrucor Soluion for Aignmn Chapr : Tim Domain Anali of LTIC Sm Problm i a 8 x x wih x u,, an Zro-inpu rpon of h m: Th characriic quaion of h LTIC m i i 8, which ha roo a ± j Th zro-inpu rpon i givn b zi
More information1. 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 informationA 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 informationFrequency 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 informationChapter 12 Introduction To The Laplace Transform
Chapr Inroducion To Th aplac Tranorm Diniion o h aplac Tranorm - Th Sp & Impul uncion aplac Tranorm o pciic uncion 5 Opraional Tranorm Applying h aplac Tranorm 7 Invr Tranorm o Raional uncion 8 Pol and
More informationGrand Canonical Ensemble
Th nsmbl of systms mmrsd n a partcl-hat rsrvor at constant tmpratur T, prssur P, and chmcal potntal. Consdr an nsmbl of M dntcal systms (M =,, 3,...M).. Thy ar mutually sharng th total numbr of partcls
More informationReliability Mathematics Analysis on Traction Substation Operation
WSES NSCIONS o HEICS Hoh S lal aha al o rao Sao Orao HONSHEN SU Shool o oao a Elral Er azho Jaoo Ur azho 77..CHIN h@6.o ra: - I lr ralwa rao owr l h oraoal qal a rlal o h a rao raorr loo hhr o o o oaral
More informationGRAPHS IN SCIENCE. drawn correctly, the. other is not. Which. Best Fit Line # one is which?
5 9 Bt Ft L # 8 7 6 5 GRAPH IN CIENCE O of th thg ot oft a rto of a xrt a grah of o k. A grah a vual rrtato of ural ata ollt fro a xrt. o of th ty of grah you ll f ar bar a grah. Th o u ot oft a l grah,
More informationMa/CS 6a Class 15: Flows and Bipartite Graphs
//206 Ma/CS 6a Cla : Flow and Bipari Graph By Adam Shffr Rmindr: Flow Nwork A flow nwork i a digraph G = V, E, oghr wih a ourc vrx V, a ink vrx V, and a capaciy funcion c: E N. Capaciy Sourc 7 a b c d
More informationEnglish 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 informationP 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 informationUNIT #5 EXPONENTIAL AND LOGARITHMIC FUNCTIONS
Answr Ky Nam: Da: UNIT # EXPONENTIAL AND LOGARITHMIC FUNCTIONS Par I Qusions. Th prssion is quivaln o () () 6 6 6. Th ponnial funcion y 6 could rwrin as y () y y 6 () y y (). Th prssion a is quivaln o
More informationIntroduction to Inertial Dynamics
nouon o nl Dn Rz S Jon Hokn Unv Lu no on uon of oon of ul-jon oo o onl W n? A on of o fo ng on ul n oon of. ou n El: A ll of l off goun. fo ng on ll fo of gv: f-g g9.8 /. f o ll, n : f g / f g 9.8.9 El:
More informationCIVL 8/ D Boundary Value Problems - Triangular Elements (T6) 1/8
CIVL 8/7 -D Boundar Valu Problm - rangular Elmn () /8 SI-ODE RIAGULAR ELEMES () A quadracall nrpolad rangular lmn dfnd b nod, hr a h vrc and hr a h mddl a ach d. h mddl nod, dpndng on locaon, ma dfn a
More informationCalculus Revision A2 Level
alculus Rvision A Lvl Tabl of drivativs a n sin cos tan d an sc n cos sin Fro AS * NB sc cos sc cos hain rul othrwis known as th function of a function or coposit rul. d d Eapl (i) (ii) Obtain th drivativ
More informationIntegrated Optical Waveguides
Su Opls Faha Raa Cll Uvs Chap 8 Ia Opal Wavus 7 Dl Slab Wavus 7 Iu: A va f ff a pal wavus a us f a u lh a hp Th s bas pal wavu s a slab wavus shw blw Th suu s uf h - Lh s u s h b al al fl a h -la fas Cla
More informationSupplementary 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 informationPower Spectrum Estimation of Stochastic Stationary Signals
ag of 6 or Spctru stato of Stochastc Statoary Sgas Lt s cosr a obsrvato of a stochastc procss (). Ay obsrvato s a ft rcor of th ra procss. Thrfor, ca say:
More informationMaximum Likelihood Estimation
Mau Lkelhood aon Beln Chen Depaen of Copue Scence & Infoaon ngneeng aonal Tawan oal Unvey Refeence:. he Alpaydn, Inoducon o Machne Leanng, Chape 4, MIT Pe, 4 Saple Sac and Populaon Paaee A Scheac Depcon
More informationt=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 information4.1 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 informationCost Effective Multi-Period Spraying for Routing in Delay Tolerant Networks
IEEE/ACM Tranacon On Nworng 85:50-4 Ocobr 00 Co Effcv Mul-Pro Sprayng for Roung n Dlay Tolran Nwor Eyuphan Bulu Mmbr IEEE Zjan Wang an Bollaw K. Szyman Fllow IEEE Abrac In h papr w prn a novl mul-pro prayng
More informationLecture 4: Parsing. Administrivia
Adminitrivia Lctur 4: Paring If you do not hav a group, pla pot a rqut on Piazzza ( th Form projct tam... itm. B ur to updat your pot if you find on. W will aign orphan to group randomly in a fw day. Programming
More informationJ = 1 J = 1 0 J J =1 J = Bout. Bin (1) Ey = 4E0 cos(kz (2) (2) (3) (4) (5) (3) cos(kz (1) ωt +pπ/2) (2) (6) (4) (3) iωt (3) (5) ωt = π E(1) E = [E e
) ) Cov&o for rg h of olr&o for gog o&v r&o: - Look wv rog&g owr ou (look r&o). - F r wh o&o of fil vor. - I h CCWLHCP CWRHCP - u &l & hv oo g, h lr- fil vor r ou rgh- h orkrw for RHCP! 3) For h followg
More informationINF5820 MT 26 OCT 2012
INF582 MT 26 OCT 22 H22 Jn Tor Lønnng l@.uo.no Tody Ssl hn rnslon: Th nosy hnnl odl Word-bsd IBM odl Trnng SMT xpl En o lgd n r d bygg..9 h.6 d.3.9 rgh.9 wh.4 buldng.45 oo.3 rd.25 srgh.7 by.3 onsruon.33
More informationResponse of MDOF systems
Response of MDOF syses Degree of freedo DOF: he nu nuber of ndependen coordnaes requred o deerne copleely he posons of all pars of a syse a any nsan of e. wo DOF syses hree DOF syses he noral ode analyss
More information(1) Then we could wave our hands over this and it would become:
MAT* K285 Spring 28 Anthony Bnoit 4/17/28 Wk 12: Laplac Tranform Rading: Kohlr & Johnon, Chaptr 5 to p. 35 HW: 5.1: 3, 7, 1*, 19 5.2: 1, 5*, 13*, 19, 45* 5.3: 1, 11*, 19 * Pla writ-up th problm natly and
More informationNuclear Chemistry -- ANSWERS
Hoor Chstry Mr. Motro 5-6 Probl St Nuclar Chstry -- ANSWERS Clarly wrt aswrs o sparat shts. Show all work ad uts.. Wrt all th uclar quatos or th radoactv dcay srs o Urau-38 all th way to Lad-6. Th dcay
More informationCHARACTERIZATION FROM EXPONENTIATED GAMMA DISTRIBUTION BASED ON RECORD VALUES
CHARACTERIZATION RO EPONENTIATED GAA DISTRIBUTION BASED ON RECORD VAUES A I Sh * R A Bo Gr Cog o Euo PO Bo 55 Jh 5 Su Ar Gr Cog o Euo Dr o h PO Bo 69 Jh 9 Su Ar ABSTRACT I h r u h or ror u ro o g ruo r
More informationAQUIFER DRAWDOWN AND VARIABLE-STAGE STREAM DEPLETION INDUCED BY A NEARBY PUMPING WELL
Pocing of h 1 h Innaional Confnc on Enionmnal cinc an chnolog Rho Gc 3-5 pmb 15 AUIFER DRAWDOWN AND VARIABE-AGE REAM DEPEION INDUCED BY A NEARBY PUMPING WE BAAOUHA H.M. aa Enionmn & Eng Rach Iniu EERI
More informationChapter 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 information0 t b r 6, 20 t l nf r nt f th l t th t v t f th th lv, ntr t n t th l l l nd d p rt nt th t f ttr t n th p nt t th r f l nd d tr b t n. R v n n th r
n r t d n 20 22 0: T P bl D n, l d t z d http:.h th tr t. r pd l 0 t b r 6, 20 t l nf r nt f th l t th t v t f th th lv, ntr t n t th l l l nd d p rt nt th t f ttr t n th p nt t th r f l nd d tr b t n.
More informationThe 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 informationThe Method of Steepest Descent for Feedforward Artificial Neural Networks
IOSR Joural o Mahac (IOSR-JM) -ISSN: 78-578, p-issn:39-765x. Volu, Iu Vr. II. (F. 4), PP 53-6.oroural.org Th Mhod o Sp Dc or Fdorard Arcal Nural Nor Muhaad Ha, Md. Jah Udd ad Md Adul Al 3 Aoca Proor, Dpar
More informationSearching 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 informationPartition 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 informationSource code. where each α ij is a terminal or nonterminal symbol. We say that. α 1 α m 1 Bα m+1 α n α 1 α m 1 β 1 β p α m+1 α n
Adminitrivia Lctur : Paring If you do not hav a group, pla pot a rqut on Piazzza ( th Form projct tam... itm. B ur to updat your pot if you find on. W will aign orphan to group randomly in a fw day. Programming
More information14.02 Principles of Macroeconomics Fall 2005 Quiz 3 Solutions
4.0 rincipl of Macroconomic Fall 005 Quiz 3 Soluion Shor Quion (30/00 poin la a whhr h following amn ar TRUE or FALSE wih a hor xplanaion (3 or 4 lin. Each quion coun 5/00 poin.. An incra in ax oday alway
More informationPhysics 160 Lecture 3. R. Johnson April 6, 2015
Physics 6 Lcur 3 R. Johnson April 6, 5 RC Circui (Low-Pass Filr This is h sam RC circui w lookd a arlir h im doma, bu hr w ar rsd h frquncy rspons. So w pu a s wav sad of a sp funcion. whr R C RC Complx
More informationAn N-Component Series Repairable System with Repairman Doing Other Work and Priority in Repair
Mor ppl Novmbr 8 N-Compo r Rparabl m h Rparma Dog Ohr ork a ror Rpar Jag Yag E-mal: jag_ag7@6om Xau Mg a uo hg ollag arb Normal Uvr Yaq ua Taoao ag uppor b h Fouao or h aural o b prov o Cha 5 uppor b h
More informationLM A F LABL Y H FRMA H P UBLCA B LV B ACCURA ALL R PC H WVR W C A AU M RP BLY FR AY C QUC RUL G F RM H U HR F H FRMA C A HR UBJC CHA G WHU C R V R W H
H R & C C M RX700-2 Bx C LM A F LABL Y H FRMA H P UBLCA B LV B ACCURA ALL R PC H WVR W C A AU M RP BLY FR AY C QUC RUL G F RM H U HR F H FRMA C A HR UBJC CHA G WHU C R V R W H PUBLCA M AY B U CRP RA UCH
More informationNormal Random Variable and its discriminant functions
Noral Rando Varable and s dscrnan funcons Oulne Noral Rando Varable Properes Dscrnan funcons Why Noral Rando Varables? Analycally racable Works well when observaon coes for a corruped snle prooype 3 The
More informationSYMMETRICAL COMPONENTS
SYMMETRCA COMPONENTS Syl oponn llow ph un of volg n un o pl y h p ln yl oponn Con h ph ln oponn wh Engy Convon o 4 o o wh o, 4 o, 6 o Engy Convon SYMMETRCA COMPONENTS Dfn h opo wh o Th o of pho : pov ph
More informationLecture 23. Multilayer Structures
Lcu Mullay Sucus In hs lcu yu wll lan: Mullay sucus Dlcc an-flcn (AR) cangs Dlcc hgh-flcn (HR) cangs Phnc Band-Gap Sucus C Fall 5 Fahan Rana Cnll Unvsy Tansmssn Ln Juncns and Dscnnus - I Tansmssn ln dscnnus
More informationSOME 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 informationn 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 informationChemistry 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 informationCanonical Quantizing of Spinor Fields: Anti-Commutation Relations
JOURNA ON POTONICS AND SPINTRONICS VO.5 NO. MAY 6 ISSN - 857 Prn ISSN - 858 Onln h://www.rrh.org/jornl/j/j.hml Cnonl Qnzng of Snor Fl: An-Common Rlon D. Grn PhD Unvr of Brln* Ar Nw mg of hr nor ro on h
More informationNOTE:NO OFFSITE DETOUR IN THIS PROJECT WT HARRIS BLVD O VICINITY MAP SHOWING LOCATION OF STATE PROJECT I-77 HOTLANES. Bradford Field LAKE NORMAN C N
73 Bradford ield N POJ NA) 73 24 AK NOAN d 77 am urr d [28] A d 115 Y U N O 21 % 115 [18] d 115 roft d m a d r r u AW Y U N O 24 K Y A A a r r i sb 115 B Y W 24 U Y N V 24 s B i r ar W W P O PO / U N O
More informationLecture 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 informationCSE 245: Computer Aided Circuit Simulation and Verification
CSE 45: Compur Aidd Circui Simulaion and Vrificaion Fall 4, Sp 8 Lcur : Dynamic Linar Sysm Oulin Tim Domain Analysis Sa Equaions RLC Nwork Analysis by Taylor Expansion Impuls Rspons in im domain Frquncy
More informationBoyce/DiPrima 9 th ed, Ch 2.1: Linear Equations; Method of Integrating Factors
Boc/DiPrima 9 h d, Ch.: Linar Equaions; Mhod of Ingraing Facors Elmnar Diffrnial Equaions and Boundar Valu Problms, 9 h diion, b William E. Boc and Richard C. DiPrima, 009 b John Wil & Sons, Inc. A linar
More information176 5 t h Fl oo r. 337 P o ly me r Ma te ri al s
A g la di ou s F. L. 462 E l ec tr on ic D ev el op me nt A i ng er A.W.S. 371 C. A. M. A l ex an de r 236 A d mi ni st ra ti on R. H. (M rs ) A n dr ew s P. V. 326 O p ti ca l Tr an sm is si on A p ps
More informationAppendix. In the absence of default risk, the benefit of the tax shield due to debt financing by the firm is 1 C E C
nx. Dvon o h n wh In h sn o ul sk h n o h x shl u o nnng y h m s s h ol ouon s h num o ssus s h oo nom x s h sonl nom x n s h v x on quy whh s wgh vg o vn n l gns x s. In hs s h o sonl nom xs on h x shl
More informationFREE 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 informationinnovations 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 informationEstimating the Variance in a Simulation Study of Balanced Two Stage Predictors of Realized Random Cluster Means Ed Stanek
Etatg th Varac a Sulato Study of Balacd Two Stag Prdctor of Ralzd Rado Clutr Ma Ed Stak Itroducto W dcrb a pla to tat th varac copot a ulato tudy N ( µ µ W df th varac of th clutr paratr a ug th N ulatd
More informationCHAPTER CHAPTER14. Expectations: The Basic Tools. Prepared by: Fernando Quijano and Yvonn Quijano
Expcaions: Th Basic Prpard by: Frnando Quijano and Yvonn Quijano CHAPTER CHAPTER14 2006 Prnic Hall Businss Publishing Macroconomics, 4/ Olivir Blanchard 14-1 Today s Lcur Chapr 14:Expcaions: Th Basic Th
More informationAmerican International Journal of Research in Science, Technology, Engineering & Mathematics
Ara raoal oral of ar S oloy r & aa Avalabl ol a //wwwar SSN Pr 38-349 SSN Ol 38-358 SSN D-O 38-369 AS a rfr r-rvw llary a o a joral bl by raoal Aoao of Sf ovao a ar AS SA A Aoao fy S r a Al ar oy rao ra
More informationDouble Slits in Space and Time
Doubl Slis in Sac an Tim Gorg Jons As has bn ror rcnly in h mia, a am l by Grhar Paulus has monsra an inrsing chniqu for ionizing argon aoms by using ulra-shor lasr ulss. Each lasr uls is ffcivly on an
More informationHydrogen Atom and One Electron Ions
Hydrogn Atom and On Elctron Ions Th Schrödingr quation for this two-body problm starts out th sam as th gnral two-body Schrödingr quation. First w sparat out th motion of th cntr of mass. Th intrnal potntial
More informationEXERCISE - 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 informationT 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