E&CE 476 Antenna and Wireless Systems Final Examination
|
|
- Morris Hudson
- 5 years ago
- Views:
Transcription
1 UW E&CE 476 S. Svi-Neii, Wie 7 Isuco: S. Svi-Neii Tie:.5 hous E&CE 476 Ae d Wieless Syses Fil Exiio Apil, 7, :3 3:p P. Ae # Ae # λ /5 λ /5 λ /5 Ae # 3 Thee pllel ideicl eso dipoles wih he legh d dius give y L.478λ,.λ e loced hee coes o equilel igle wih side legh λ / 5. Assue h he sel ipedces Z, Z Z o ll es e equl o 73 ohs he eso ipu ipedce o, 33 ech o he i he sece o he ohe wo elees. The uul ipedces Z, Z 3, L c e oied o he plos Fid he ipu ipedce o he e # whe he es # d # 3 e eied wih lod ipedces ZL d Z L especively. Fid he ipu ipedce o he e # ude wo codiios: oe o he es is sho cicuied d he ohe e is ope cicuied, d oe o he es is sho cicuied u he ohe oe is eied y 73 oh lod. c I he e # is ed y p cue souce, id he ol died powe o he cses d o he Secio. Assue h h es e de o lossless eil o ohic loss. Hi: I cse, p o ipu powe is cosued y 73 oh lod. P. Deeie he diesios o opiu gi pyidl ho e wih sque peue which c poduce db gi equecy o GHz. Assuig h he sque peue is ceeed he oigi d lyig o he xy-ple, dw ough plo o olized diio pe i yz-ple o 9 s ucio o. A 9 c diee polic eleco e, wih ocl legh o 45 c, uses his ho s eed. The eleco e peue disiuio geeed y he sque ho c e odeled y polic pe o pedesl ucio. Esie Hl-Powe Be-widh HP, Side-Loe Level SLL, d he gi ssue peue eiciecy o 75% o he polic eleco e syse.
2 UW E&CE 476 S. Svi-Neii, Wie 7 P.3 I 5.8 GHz wieless LAN li ewee ccess poi sie d he oile ode eceive i ee spce, sie uses 6 db gi e which dies W o RF powe. The eceive e gi is 3 db. The disce ewee sie d he eceive is. Assuig peec polizio lige d ipedce chig, id he eecive eceivig peue e o he eceivig e d he eceived powe ude his idel codiio. Deeie he eceived powe i he ccess poi sie is loced heigh o 3 ove l goud d he eceive is ove he se goud. The hoizol pllel o l goud disce ewee he es is. Boh es e ssued o e veiclly polized d oieed wih espec o l goud ple. The olized pe ucios e 4 ccess poi d oile, whee is esued o he pepedicul diecio. The goud dielecic cos is ssued o eε 5ε. c I wll o heigh 5 is plced ewee he ccess poi d oile esie he eceived sigl powe y he oile. P.4 I cellul dio ewo, hexgol cells wih cluse size7 d 3-seco cell secos e used o cove 5 -sque u e. Avege ue o clls pe hou ove he eie covege e is, wih vege duio o iues. The ol ue o ic dio chels i he chose sdd is 6. The equied locge e GOS is %. Wh is S/I o he chose cell lyou use ph-loss expoe4. How do you ssig he equecies o ech cell d is hee su-cells. Clcule he vege ic lod desiy Elg/-sque oeed o he syse. c Deeie he xiu cell dius d he ol ue o cells equied o cove he eie egio. d Fo.9 GHz dio ewo wih he ove cell lyou, use COST 3-H ediu ciy odel o clcule he equied se sio sie powe o poduce iiu -9 db edi level eceived sigl powe he oile eceive he oudy o he cell wos cse, ssuig 5 d gi se sio e wih he eecive heigh o 3 [] d db gi eceivig e wih eecive heigh o.5 [].
3 ECE 476, U. o Weloo S. Svi-Neii, Wie 7 Fouls Ae elee ipedce i y evioe: N e A A Z I I Z I V Z j N N,,,, L α α Rdiio o ecgul peue o diesios d log x- d y-xes is he ield he cee o he peue: E π π E e j E E e j E j j y-polized peue ield Ho e wih he peue diesios d : 6.4 λ G D opiu gi ho Poloidl eleco es: Equio o he suce: o ρ Apeue illuiio: ] [db log log [db] F E ρ ρ Edge illuiio: ] [db log log [db] db F E C ρ
4 ECE 476, U. o Weloo S. Svi-Neii, Wie 7 Gi o peue e: G e p Releco e lysis/desig les G u e p 4π λ A p λ / Z Eecive eceivig e: A e, G, [ ], eceived powe: Pec Ae Ei 4π λ Fiis oul: P ec p P,, Γ Γ G G [W] 4π [W]
5 ECE 476, U. o Weloo S. Svi-Neii, Wie 7 Diec y P ec RCVR? XMTR P h ψ Γ Releced y ψ h Γ Relecio Coeicie h d Fl Eh Model Ph Loss Fco: Goud elecio coeicies: Γ Edge Dicio: X c h c v F ε ψ ε ψ d λ d d Γ e jφ ε ψ ε ψ j jφ j e Γ e Diec LOS y Receivig e Tsiig e h c h h Asoig scee h d d d 3
6 ECE 476, U. o Weloo S. Svi-Neii, Wie 7 log Fd [db] 6 LOS ph Osuced ph X c < 4
7 ECE 476, U. o Weloo S. Svi-Neii, Wie 7 D Co-chel euse io: q 3N R S Co-chel ieeece: seco cells I q q.7 Tic peseed y he uses o he ewo: A u µt / 6 [Elgs] pe use A QT / 6 [Elgs] Nue o uses U A /, Ae o hexgol cell:.6r A u Epiicl odels geel: Pec [db] EIRP[dBW] G 3.45 log [MHz] log d[] F[dB] EIRP [dbw] G [db] P [dbw], L [db] 3.45 log [MHz] log d[] F[ db] Ouu-H odel: L, u[db] log [MHz] 3.8log he[] he[] log he[] log h [db].log.7 h.56 log.8 Geel o: [ ] 3. 5 d[] Sll/Mediu ciy: e e Lge ciy: he [db] 8.9 log.54he. o 3 MHz he [db] 3. log.75he 4.97 o 3 MHz Suu/Rul: L5, su [db] L5, u log / L5, qo [ db] L5, u 4.78 log 8.33log L db] L 4.78 log 8.33 log , o [ 5, u h Rge o pees: 5 [MHz] o 5 [MHz], e 3 [] o [], e [] o [], d o 3 [] COST-3 H odel PCS: L 5, u [db] log 3.8log he he log he log d c 7.3 c db ediu sized ciy/suu/odee ee desiy, 3 db o eopoli cees Rge o pees: 5 [MHz] o [MHz], he 3 [] o [], he [] o [], d o [] Useul s d elios: 8 c 3 [/s], λ c/, π / λ, ε /36π [F/], Z µ / ε π 377[ Ω] P[dBW] logp[w], P[dB] logp[w] P[dBW] 3 v[dbv] logv[v], v[dbµ V] logv[ µ V] v[dbv] E[dBV/] log E[V/], E[dBµ V/] log E[ µ V/] E[dBV/] 9 h µ 4π 7 [H/], 5
8 ECE 476, U. o Weloo S. Svi-Neii, Wie 7 Tic Tles [Elg] 6
Physics 232 Exam I Feb. 14, 2005
Phsics I Fe., 5 oc. ec # Ne..5 g ss is ched o hoizol spig d is eecuig siple hoic oio wih gul eloci o dissec. gie is i ie i is oud o e 8 c o he igh o he equiliiu posiio d oig o he le wih eloci o.5 sec..
More informationPhysics 232 Exam I Feb. 13, 2006
Phsics I Fe. 6 oc. ec # Ne..5 g ss is ched o hoizol spig d is eecuig siple hoic oio. The oio hs peiod o.59 secods. iiil ie i is oud o e 8.66 c o he igh o he equiliiu posiio d oig o he le wih eloci o sec.
More informationPhysics 232 Exam II Mar. 28, 2005
Phi 3 M. 8, 5 So. Se # Ne. A piee o gl, ide o eio.5, h hi oig o oil o i. The oil h ide o eio.4.d hike o. Fo wh welegh, i he iile egio, do ou ge o eleio? The ol phe dieee i gie δ Tol δ PhDieee δ i,il δ
More informationOne of the common descriptions of curvilinear motion uses path variables, which are measurements made along the tangent t and normal n to the path of
Oe of he commo descipios of cuilie moio uses ph ibles, which e mesuemes mde log he ge d oml o he ph of he picles. d e wo ohogol xes cosideed sepely fo eey is of moio. These coodies poide ul descipio fo
More informationUltrahigh Frequency Generation in GaAs-type. Two-Valley Semiconductors
Adv. Sudies Theo. Phys. Vol. 3 9 o. 8 93-98 lhigh Fequecy Geeio i GAs-ype Two-Vlley Seicoducos.. sov. K. Gsiov A. Z. Phov d A.. eiel Bu Se ivesiy 3 Z. Khlilov s. Az 48 Bu ciy- Physicl siue o he Azebij
More informationX-Ray Notes, Part III
oll 6 X-y oe 3: Pe X-Ry oe, P III oe Deeo Coe oupu o x-y ye h look lke h: We efe ue of que lhly ffee efo h ue y ovk: Co: C ΔS S Sl o oe Ro: SR S Co o oe Ro: CR ΔS C SR Pevouly, we ee he SR fo ye hv pxel
More informationThe sphere of radius a has the geographical form. r (,)=(acoscos,acossin,asin) T =(p(u)cos v, p(u)sin v,q(u) ) T.
Che 5. Dieeil Geome o Sces 5. Sce i meic om I 3D sce c be eeseed b. Elici om z =. Imlici om z = 3. Veco om = o moe geel =z deedig o wo mees. Emle. he shee o dis hs he geoghicl om =coscoscossisi Emle. he
More informationChapter 1 Electromagnetic Field Theory
hpe ecgeic Fie The - ecic Fie ecic Dipe Gu w f : S iegece he ε = 6 fee pce. F q fie pi q q 9 F/ i he. ue e f icee chge: qk k k k ue uce ρ Sufce uce ρ S ie uce ρ qq qq g. Shw h u w F whee. q Pf F q S q
More informationLecture 3 summary. C4 Lecture 3 - Jim Libby 1
Lecue su Fes of efeece Ivce ude sfoos oo of H wve fuco: d-fucos Eple: e e - µ µ - Agul oeu s oo geeo Eule gles Geec slos cosevo lws d Noehe s heoe C4 Lecue - Lbb Fes of efeece Cosde fe of efeece O whch
More informationAns: In the rectangular loop with the assigned direction for i2: di L dt , (1) where (2) a) At t = 0, i1(t) = I1U(t) is applied and (1) becomes
omewok # P7-3 ecngul loop of widh w nd heigh h is siued ne ve long wie cing cuen i s in Fig 7- ssume i o e ecngul pulse s shown in Fig 7- Find he induced cuen i in he ecngul loop whose self-inducnce is
More informationRESPONSE OF A RECTANGULAR PLATE TO BASE EXCITATION Revision E W( )
RESPONSE OF A RECTANGULAR PLATE TO BASE EXCITATION Revisio E B To Ivie Eil: o@viiod.co Apil, 3 Viles A pliude coefficie E k leg id ple siffess fco elsic odulus ple ickess veue ple ss edig oe,, u, v ode
More informationDuration Notes 1. To motivate this measure, observe that the duration may also be expressed as. a a T a
Duio Noes Mculy defied he duio of sse i 938. 2 Le he sem of pymes cosiuig he sse be,,..., d le /( + ) deoe he discou fco. he Mculy's defiiio of he duio of he sse is 3 2 D + 2 2 +... + 2 + + + + 2... o
More informationBINOMIAL THEOREM OBJECTIVE PROBLEMS in the expansion of ( 3 +kx ) are equal. Then k =
wwwskshieduciocom BINOMIAL HEOREM OBJEIVE PROBLEMS he coefficies of, i e esio of k e equl he k /7 If e coefficie of, d ems i e i AP, e e vlue of is he coefficies i e,, 7 ems i e esio of e i AP he 7 7 em
More informationMaximum likelihood estimate of phylogeny. BIOL 495S/ CS 490B/ MATH 490B/ STAT 490B Introduction to Bioinformatics April 24, 2002
Mmm lkelhood eme of phylogey BIO 9S/ S 90B/ MH 90B/ S 90B Iodco o Bofomc pl 00 Ovevew of he pobblc ppoch o phylogey o k ee ccodg o he lkelhood d ee whee d e e of eqece d ee by ee wh leve fo he eqece. he
More informationViewing in 3D. Viewing in 3D. Planar Geometric Projections. Taxonomy of Projections. How to specify which part of the 3D world is to be viewed?
Viewig i 3D Viewig i 3D How o speci which pa o he 3D wo is o e viewe? 3D viewig voume How o asom 3D wo cooiaes o D ispa cooiae? Pojecios Cocepua viewig pipeie: Xom o ee coos 3D cippig Pojec Xom o viewpo
More informationSuggested Solution for Pure Mathematics 2011 By Y.K. Ng (last update: 8/4/2011) Paper I. (b) (c)
per I. Le α 7 d β 7. The α d β re he roos o he equio, such h α α, β β, --- α β d αβ. For, α β For, α β α β αβ 66 The seme is rue or,. ssume Cosider, α β d α β y deiiio α α α α β or some posiive ieer.
More informationLIPSCHITZ ESTIMATES FOR MULTILINEAR COMMUTATOR OF MARCINKIEWICZ OPERATOR
Reseh d ouiios i heis d hei Siees Vo. Issue Pges -46 ISSN 9-699 Puished Oie o Deee 7 Joi Adei Pess h://oideiess.e IPSHITZ ESTIATES FOR UTIINEAR OUTATOR OF ARINKIEWIZ OPERATOR DAZHAO HEN Dee o Siee d Ioio
More informationCircuits 24/08/2010. Question. Question. Practice Questions QV CV. Review Formula s RC R R R V IR ... Charging P IV I R ... E Pt.
4/08/00 eview Fomul s icuis cice s BL B A B I I I I E...... s n n hging Q Q 0 e... n... Q Q n 0 e Q I I0e Dischging Q U Q A wie mde of bss nd nohe wie mde of silve hve he sme lengh, bu he dimee of he bss
More informationEE757 Numerical Techniques in Electromagnetics Lecture 9
EE757 uericl Techiques i Elecroeics Lecure 9 EE757 06 Dr. Mohed Bkr Diereil Equios Vs. Ierl Equios Ierl equios ke severl ors e.. b K d b K d Mos diereil equios c be epressed s ierl equios e.. b F d d /
More informationTechnical Appendix for Inventory Management for an Assembly System with Product or Component Returns, DeCroix and Zipkin, Management Science 2005.
Techc Appedx fo Iveoy geme fo Assemy Sysem wh Poduc o Compoe eus ecox d Zp geme Scece 2005 Lemm µ µ s c Poof If J d µ > µ he ˆ 0 µ µ µ µ µ µ µ µ Sm gumes essh he esu f µ ˆ > µ > µ > µ o K ˆ If J he so
More informationGeneralized Fibonacci-Type Sequence and its Properties
Geelized Fibocci-Type Sequece d is Popeies Ompsh Sihwl shw Vys Devshi Tuoil Keshv Kuj Mdsu (MP Idi Resech Schol Fculy of Sciece Pcific Acdemy of Highe Educio d Resech Uivesiy Udipu (Rj Absc: The Fibocci
More informationOutline. Review Homework Problem. Review Homework Problem II. Review Dimensionless Problem. Review Convection Problem
adial diffsio eqaio Febay 4 9 Diffsio Eqaios i ylidical oodiaes ay aeo Mechaical Egieeig 5B Seia i Egieeig Aalysis Febay 4, 9 Olie eview las class Gadie ad covecio boday codiio Diffsio eqaio i adial coodiaes
More informationTEST-12 TOPIC : SHM and WAVES
Q. Four sprig coec wih ss s show i figure. Fid frequecy of S.H.. TEST- TOPIC : SH d WVES 4 7 (D) These wo coeced i series. So = = Now ll re i prllel so eq = 4 so freq. = 4 4 7 Q. sll ss execue S.H.. bou
More information). So the estimators mainly considered here are linear
6 Ioic Ecooică (4/7 Moe Geel Cedibiliy Models Vigii ATANASIU Dee o Mheics Acdey o Ecooic Sudies e-il: vigii_siu@yhooco This couicio gives soe exesios o he oigil Bühl odel The e is devoed o sei-lie cedibiliy
More informationInverse Thermoelastic Problem of Semi-Infinite Circular Beam
iol oul o L choloy i Eii M & Alid Scic LEMAS Volu V u Fbuy 8 SSN 78-54 v holic Pobl o Si-ii Cicul B Shlu D Bi M. S. Wbh d N. W. Khobd 3 D o Mhic Godw Uiviy Gdchioli M.S di D o Mhic Svody Mhvidyly Sidwhi
More informationReview for the Midterm Exam.
Review for he iderm Exm Rememer! Gross re e re Vriles suh s,, /, p / p, r, d R re gross res 2 You should kow he disiio ewee he fesile se d he udge se, d kow how o derive hem The Fesile Se Wihou goverme
More informationBINOMIAL THEOREM SOLUTION. 1. (D) n. = (C 0 + C 1 x +C 2 x C n x n ) (1+ x+ x 2 +.)
BINOMIAL THEOREM SOLUTION. (D) ( + + +... + ) (+ + +.) The coefficiet of + + + +... + fo. Moeove coefficiet of is + + + +... + if >. So. (B)... e!!!! The equied coefficiet coefficiet of i e -.!...!. (A),
More informationFBD of SDOF Base Excitation. 2.4 Base Excitation. Particular Solution (sine term) SDOF Base Excitation (cont) F=-(-)-(-)= 2ζω ωf
.4 Base Exiaio Ipoa lass of vibaio aalysis Peveig exiaios fo passig fo a vibaig base hough is ou io a suue Vibaio isolaio Vibaios i you a Saellie opeaio Dis dives, e. FBD of SDOF Base Exiaio x() y() Syse
More informationFaraday s Law. To be able to find. motional emf transformer and motional emf. Motional emf
Objecie F s w Tnsfome Moionl To be ble o fin nsfome. moionl nsfome n moionl. 331 1 331 Mwell s quion: ic Fiel D: Guss lw :KV : Guss lw H: Ampee s w Poin Fom Inegl Fom D D Q sufce loop H sufce H I enclose
More informationECSE Partial fraction expansion (m<n) 3 types of poles Simple Real poles Real Equal poles
ECSE- Lecue. Paial facio expasio (m
More informationWave Propagation in Rectangular Waveguide Filled with Anisotropic Metamaterial
IJCSI Ieiol Joul o Copue Sciece Issues Vol. 9 Issue 3 o 3 M ISS (Olie): 694-84 www.ijcsi.o 88 Wve Popio i Recul Wveuide Filled wih Aisoopic Meeil edi Skli Dhou Bouchouich d Touik Auili cole iole diéieus
More informationTWO INTERFACIAL COLLINEAR GRIFFITH CRACKS IN THERMO- ELASTIC COMPOSITE MEDIA
WO INERFIL OLLINER GRIFFIH RS IN HERMO- ELSI OMOSIE MEDI h m MISHR S DS * Deme o Mheml See I Ie o eholog BHU V-5 I he oee o he le o he e e o eeg o o olle Gh e he ee o he wo ohoo mel e e e emee el. he olem
More information() t. () t r () t or v. ( t) () () ( ) = ( ) or ( ) () () () t or dv () () Section 10.4 Motion in Space: Velocity and Acceleration
Secion 1.4 Moion in Spce: Velociy nd Acceleion We e going o dive lile deepe ino somehing we ve ledy inoduced, nmely () nd (). Discuss wih you neighbo he elionships beween posiion, velociy nd cceleion you
More informationThe Complete Graph: Eigenvalues, Trigonometrical Unit-Equations with associated t-complete-eigen Sequences, Ratios, Sums and Diagrams
The Complee Gph: Eigevlues Tigoomeicl Ui-Equios wih ssocied -Complee-Eige Sequeces Rios Sums d Digms Pul ugus Wie* Col Lye Jessop dfdeemi Je dewusi bsc The complee gph is ofe used o veify cei gph heoeicl
More information, on the power of the transmitter P t fed to it, and on the distance R between the antenna and the observation point as. r r t
Lecue 6: Fiis Tansmission Equaion and Rada Range Equaion (Fiis equaion. Maximum ange of a wieless link. Rada coss secion. Rada equaion. Maximum ange of a ada. 1. Fiis ansmission equaion Fiis ansmission
More informationPHYSICS 102. Intro PHYSICS-ELECTROMAGNETISM
PHYS 0 Suen Nme: Suen Numbe: FAUTY OF SIENE Viul Miem EXAMINATION PHYSIS 0 Ino PHYSIS-EETROMAGNETISM Emines: D. Yoichi Miyh INSTRUTIONS: Aemp ll 4 quesions. All quesions hve equl weighs 0 poins ech. Answes
More informationApplications of force vibration. Rotating unbalance Base excitation Vibration measurement devices
Applicaios of foce viaio Roaig ualace Base exciaio Viaio easuee devices Roaig ualace 1 Roaig ualace: Viaio caused y iegulaiies i he disiuio of he ass i he oaig copoe. Roaig ualace 0 FBD 1 FBD x x 0 e 0
More informationÖRNEK 1: THE LINEAR IMPULSE-MOMENTUM RELATION Calculate the linear momentum of a particle of mass m=10 kg which has a. kg m s
MÜHENDİSLİK MEKANİĞİ. HAFTA İMPULS- MMENTUM-ÇARPIŞMA Linea oenu of a paicle: The sybol L denoes he linea oenu and is defined as he ass ies he elociy of a paicle. L ÖRNEK : THE LINEAR IMPULSE-MMENTUM RELATIN
More informationOH BOY! Story. N a r r a t iv e a n d o bj e c t s th ea t e r Fo r a l l a g e s, fr o m th e a ge of 9
OH BOY! O h Boy!, was or igin a lly cr eat ed in F r en ch an d was a m a jor s u cc ess on t h e Fr en ch st a ge f or young au di enc es. It h a s b een s een by ap pr ox i ma t ely 175,000 sp ect at
More informationF.Y. Diploma : Sem. II [CE/CR/CS] Applied Mathematics
F.Y. Diplom : Sem. II [CE/CR/CS] Applied Mhemics Prelim Quesio Pper Soluio Q. Aemp y FIVE of he followig : [0] Q. () Defie Eve d odd fucios. [] As.: A fucio f() is sid o e eve fucio if f() f() A fucio
More informationYamaha Virago V-twin. Instruction manual with visual guide for Yamaha XV
Yamaha Virago V-twin Instruction manual with visual guide for Yamaha XV700-1100 PHOTO HOWN FOR ILLU TRATION PURPO E ONLY We o use a o e pie e housi g a d s all si gle to e oils fo i p o ed ope aio. If
More informationRelation (12.1) states that if two points belong to the convex subset Ω then all the points on the connecting line also belong to Ω.
Lectue 6. Poectio Opeato Deiitio A.: Subset Ω R is cove i [ y Ω R ] λ + λ [ y = z Ω], λ,. Relatio. states that i two poits belog to the cove subset Ω the all the poits o the coectig lie also belog to Ω.
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 informationONE RANDOM VARIABLE F ( ) [ ] x P X x x x 3
The Cumulive Disribuio Fucio (cd) ONE RANDOM VARIABLE cd is deied s he probbiliy o he eve { x}: F ( ) [ ] x P x x - Applies o discree s well s coiuous RV. Exmple: hree osses o coi x 8 3 x 8 8 F 3 3 7 x
More informationPHY2053 Summer C 2013 Exam 1 Solutions
PHY053 Sue C 03 E Soluon. The foce G on o G G The onl cobnon h e '/ = doubln.. The peed of lh le 8fulon c 86,8 le 60 n 60n h 4h d 4d fonh.80 fulon/ fonh 3. The dnce eled fo he ene p,, 36 (75n h 45 The
More informationWeek 10: DTMC Applications Ranking Web Pages & Slotted ALOHA. Network Performance 10-1
Week : DTMC Alictions Rnking Web ges & Slotted ALOHA etwok efonce - Outline Aly the theoy of discete tie Mkov chins: Google s nking of web-ges Wht ge is the use ost likely seching fo? Foulte web-gh s Mkov
More informationI M P O R T A N T S A F E T Y I N S T R U C T I O N S W h e n u s i n g t h i s e l e c t r o n i c d e v i c e, b a s i c p r e c a u t i o n s s h o
I M P O R T A N T S A F E T Y I N S T R U C T I O N S W h e n u s i n g t h i s e l e c t r o n i c d e v i c e, b a s i c p r e c a u t i o n s s h o u l d a l w a y s b e t a k e n, i n c l u d f o l
More information2. Elementary Linear Algebra Problems
. Eleety e lge Pole. BS: B e lge Suoute (Pog pge wth PCK) Su of veto opoet:. Coputto y f- poe: () () () (3) N 3 4 5 3 6 4 7 8 Full y tee Depth te tep log()n Veto updte the f- poe wth N : ) ( ) ( ) ( )
More informationP a g e 3 6 of R e p o r t P B 4 / 0 9
P a g e 3 6 of R e p o r t P B 4 / 0 9 p r o t e c t h um a n h e a l t h a n d p r o p e r t y fr om t h e d a n g e rs i n h e r e n t i n m i n i n g o p e r a t i o n s s u c h a s a q u a r r y. J
More informationSemiconductors materials
Semicoductos mteils Elemetl: Goup IV, Si, Ge Biy compouds: III-V (GAs,GSb, ISb, IP,...) IV-VI (PbS, PbSe, PbTe,...) II-VI (CdSe, CdTe,...) Tey d Qutey compouds: G x Al -x As, G x Al -x As y P -y III IV
More informationUNIT V: Z-TRANSFORMS AND DIFFERENCE EQUATIONS. Dr. V. Valliammal Department of Applied Mathematics Sri Venkateswara College of Engineering
UNIT V: -TRANSFORMS AND DIFFERENCE EQUATIONS D. V. Vllimml Deptmet of Applied Mthemtics Si Vektesw College of Egieeig TOPICS:. -Tsfoms Elemet popeties.. Ivese -Tsfom usig ptil fctios d esidues. Covolutio
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 informationParametric Methods. Autoregressive (AR) Moving Average (MA) Autoregressive - Moving Average (ARMA) LO-2.5, P-13.3 to 13.4 (skip
Pmeti Methods Autoegessive AR) Movig Avege MA) Autoegessive - Movig Avege ARMA) LO-.5, P-3.3 to 3.4 si 3.4.3 3.4.5) / Time Seies Modes Time Seies DT Rdom Sig / Motivtio fo Time Seies Modes Re the esut
More informationME 141. Engineering Mechanics
ME 141 Engineeing Mechnics Lecue 13: Kinemics of igid bodies hmd Shhedi Shkil Lecue, ep. of Mechnicl Engg, UET E-mil: sshkil@me.bue.c.bd, shkil6791@gmil.com Websie: eche.bue.c.bd/sshkil Couesy: Veco Mechnics
More informationTELEMATICS LINK LEADS
EEAICS I EADS UI CD PHOE VOICE AV PREIU I EADS REQ E E A + A + I A + I E B + E + I B + E + I B + E + H B + I D + UI CD PHOE VOICE AV PREIU I EADS REQ D + D + D + I C + C + C + C + I G G + I G + I G + H
More informationM5. LTI Systems Described by Linear Constant Coefficient Difference Equations
5. LTI Systes Descied y Lie Costt Coefficiet Diffeece Equtios Redig teil: p.34-4, 245-253 3/22/2 I. Discete-Tie Sigls d Systes Up til ow we itoduced the Fouie d -tsfos d thei popeties with oly ief peview
More informationOn the k-lucas Numbers of Arithmetic Indexes
Alied Mthetics 0 3 0-06 htt://d.doi.og/0.436/.0.307 Published Olie Octobe 0 (htt://www.scirp.og/oul/) O the -ucs Nubes of Aithetic Idees Segio lco Detet of Mthetics d Istitute fo Alied Micoelectoics (IUMA)
More informationIJRET: International Journal of Research in Engineering and Technology eissn: pissn:
IJRE: Iiol Joul o Rh i Eii d holo I: 39-63 I: 3-738 VRIE OF IME O RERUIME FOR ILE RDE MOWER EM WI DIFFERE EO FOR EXI D WO E OF DEIIO VI WO REOLD IVOLVI WO OMOE. Rvihd. iiv i oo i Mhi R Eii oll RM ROU ih
More informationAddition & Subtraction of Polynomials
Addiion & Sucion of Polynomil Addiion of Polynomil: Adding wo o moe olynomil i imly me of dding like em. The following ocedue hould e ued o dd olynomil 1. Remove enhee if hee e enhee. Add imil em. Wie
More informationAfrican Journal of Science and Technology (AJST) Science and Engineering Series Vol. 4, No. 2, pp GENERALISED DELETION DESIGNS
Af Joul of See Tehology (AJST) See Egeeg See Vol. 4, No.,. 7-79 GENERALISED DELETION DESIGNS Mhel Ku Gh Joh Wylff Ohbo Dee of Mhe, Uvey of Nob, P. O. Bo 3097, Nob, Key ABSTRACT:- I h e yel gle ele fol
More informationComputer Aided Geometric Design
Copue Aided Geoei Design Geshon Ele, Tehnion sed on ook Cohen, Riesenfeld, & Ele Geshon Ele, Tehnion Definiion 3. The Cile Given poin C in plne nd nue R 0, he ile ih ene C nd dius R is defined s he se
More informationComputer Propagation Analysis Tools
Compue Popagaion Analysis Tools. Compue Popagaion Analysis Tools Inoducion By now you ae pobably geing he idea ha pedicing eceived signal sengh is a eally impoan as in he design of a wieless communicaion
More informationWORK POWER AND ENERGY Consevaive foce a) A foce is said o be consevaive if he wok done by i is independen of pah followed by he body b) Wok done by a consevaive foce fo a closed pah is zeo c) Wok done
More informationDividing Algebraic Fractions
Leig Eheme Tem Model Awe: Mlilig d Diidig Algei Fio Mlilig d Diidig Algei Fio d gide ) Yo e he me mehod o mlil lgei io o wold o mlil meil io. To id he meo o he we o mlil he meo o he io i he eio. Simill
More informationExample: Two Stochastic Process u~u[0,1]
Co o Slo o Coco S Sh EE I Gholo h@h. ll Sochc Slo Dc Slo l h PLL c Mo o coco w h o c o Ic o Co B P o Go E A o o Po o Th h h o q o ol o oc o lco q ccc lco l Bc El: Uo Dbo Ucol Sl Ab bo col l G col G col
More informationMathematical Statistics
7 75 Ode Sttistics The ode sttistics e the items o the dom smple ed o odeed i mitude om the smllest to the lest Recetl the impotce o ode sttistics hs icesed owi to the moe equet use o opmetic ieeces d
More informationS.E. Sem. III [EXTC] Applied Mathematics - III
S.E. Sem. III [EXTC] Applied Mhemic - III Time : 3 Hr.] Prelim Pper Soluio [Mrk : 8 Q.() Fid Lplce rform of e 3 co. [5] A.: L{co }, L{ co } d ( ) d () L{ co } y F.S.T. 3 ( 3) Le co 3 Q.() Prove h : f (
More informationSOLUTIONS TO CONCEPTS CHAPTER 11
SLUTINS T NEPTS HPTE. Gvittionl fce of ttction, F.7 0 0 0.7 0 7 N (0.). To clculte the gvittionl fce on t unline due to othe ouse. F D G 4 ( / ) 8G E F I F G ( / ) G ( / ) G 4G 4 D F F G ( / ) G esultnt
More informationIMACS CONTROL ELECTRONICS
e Io ell el e d peop (I) I OO OI ee Iuo of o e Oevoe ee de, lfo 0 O () () I ex ee I le of oe.do ex ee I lo. le: I ove ee ze: le: l e:. I evo: Il e: e: ep00 :0:. ee 0 of 0 le: :\OI\I u 0\oo ool ye\i oo
More informationCameras and World Geometry
Caeas ad Wold Geoe How all is his woa? How high is he caea? Wha is he caea oaio w. wold? Which ball is close? Jaes Has Thigs o eebe Has Pihole caea odel ad caea (pojecio) ai Hoogeeous coodiaes allow pojecio
More informationReinforcement learning
CS 75 Mchine Lening Lecue b einfocemen lening Milos Huskech milos@cs.pi.edu 539 Senno Sque einfocemen lening We wn o len conol policy: : X A We see emples of bu oupus e no given Insed of we ge feedbck
More informationSTATICS. CENTROIDS OF MASSES, AREAS, LENGTHS, AND VOLUMES The following formulas are for discrete masses, areas, lengths, and volumes: r c
STTS FORE foe is veto qutit. t is defied we its () mgitude, () oit of litio, d () dietio e kow. Te veto fom of foe is F F i F j RESULTNT (TWO DMENSONS) Te esultt, F, of foes wit omoets F,i d F,i s te mgitude
More informationDIFFERENCE EQUATIONS
DIFFERECE EQUATIOS Lier Cos-Coeffiie Differee Eqios Differee Eqios I disree-ime ssems, esseil feres of ip d op sigls pper ol speifi iss of ime, d he m o e defied ewee disree ime seps or he m e os. These
More informationChapter 2. Kinematics in One Dimension. Kinematics deals with the concepts that are needed to describe motion.
Chpe Kinemic in One Dimenin Kinemic del wih he cncep h e needed decibe min. Dynmic del wih he effec h fce he n min. Tgehe, kinemic nd dynmic fm he bnch f phyic knwn Mechnic.. Diplcemen. Diplcemen.0 m 5.0
More information. Since P-U I= P+ (p-l)} Aap Since pn for every GF(pn) we have A pn A Therefore. As As. A,Ap. (Zp,+,.) ON FUNDAMENTAL SETS OVER A FINITE FIELD
Ie J Mh & Mh Sci Vol 8 No 2 (1985) 373-388 373 ON FUNDAMENTAL SETS OVER A FINITE FIELD YOUSEF ABBAS d JOSEH J LIANG Dee of Mheic Uiveiy of Souh Floid T, Floid 33620 USA (Received Mch 3, 1983) ABSTRACT
More informationExecutive Committee and Officers ( )
Gifted and Talented International V o l u m e 2 4, N u m b e r 2, D e c e m b e r, 2 0 0 9. G i f t e d a n d T a l e n t e d I n t e r n a t i o n a2 l 4 ( 2), D e c e m b e r, 2 0 0 9. 1 T h e W o r
More informationPhysics 15 Second Hour Exam
hc 5 Second Hou e nwe e Mulle hoce / ole / ole /6 ole / ------------------------------- ol / I ee eone ole lee how ll wo n ode o ecee l ced. I ou oluon e llegle no ced wll e gen.. onde he collon o wo 7.
More informationCalculus 241, section 12.2 Limits/Continuity & 12.3 Derivatives/Integrals notes by Tim Pilachowski r r r =, with a domain of real ( )
Clculu 4, econ Lm/Connuy & Devve/Inel noe y Tm Plchow, wh domn o el Wh we hve o : veco-vlued uncon, ( ) ( ) ( ) j ( ) nume nd ne o veco The uncon, nd A w done wh eul uncon ( x) nd connuy e he componen
More information... (1) Thus: ... (2) Where f(x + y) is a function to be found, in here we assume symmetry and the moments are a function on x + y only.
Ec d Numeicl Soluio fo ge eflecio of Elsic No-Pismic Ples B Fid A. Choue P.E. S.E. 7 Fid A. Choue ll ighs eseved Geel Soluio fo smme Cse I: Sig ih Eq. 7 d 8 9 d Eq 8 fom Theo of Ples d Shells Timosheo
More informationDEPARTMENT OF CIVIL AND ENVIRONMENTAL ENGINEERING FLUID MECHANICS III Solutions to Problem Sheet 3
DEPATMENT OF CIVIL AND ENVIONMENTAL ENGINEEING FLID MECHANICS III Solutions to Poblem Sheet 3 1. An tmospheic vote is moelle s combintion of viscous coe otting s soli boy with ngul velocity Ω n n iottionl
More informationChapter Linear Regression
Chpte 6.3 Le Regesso Afte edg ths chpte, ou should be ble to. defe egesso,. use sevel mmzg of esdul cte to choose the ght cteo, 3. deve the costts of le egesso model bsed o lest sques method cteo,. use
More informationOKANOGAN COUNTY COMMISSIONERS RESOLUTION
KG T MMISSIRS RSTI 43-16 WHRS, pusu RW 36. 1. 11, he egislie uhi f eh u, wih he ie ssise f he u R giee, pusu e e publi heigs hee, shll pepe p pehesie pg iluig ppse, bige, ph il sui pjes, he speifie pil
More information11.1 Balanced Three Phase Voltage Sources
BAANCED THREE- PHASE CIRCUITS C.T. Pn 1 CONTENT 11.1 Blnced Thee-Phse Voltge Souces 11.2 Blnced Thee-Phse ods 11.3 Anlysis of the Wye-WyeCicuits 11.4 Anlysis of the Wye-Delt Cicuits 11.5 Powe Clcultions
More informationK owi g yourself is the begi i g of all wisdo.
I t odu tio K owi g yourself is the begi i g of all wisdo. A istotle Why You Need Insight Whe is the last ti e ou a e e e taki g ti e to thi k a out ou life, ou alues, ou d ea s o ou pu pose i ei g o this
More information1. Six acceleration vectors are shown for the car whose velocity vector is directed forward. For each acceleration vector describe in words the
Si ccelerio ecors re show for he cr whose eloci ecor is direced forwrd For ech ccelerio ecor describe i words he iseous moio of he cr A ri eers cured horizol secio of rck speed of 00 km/h d slows dow wih
More informationTopic 4 Fourier Series. Today
Topic 4 Fourier Series Toy Wves with repetig uctios Sigl geertor Clssicl guitr Pio Ech istrumet is plyig sigle ote mile C 6Hz) st hrmoic hrmoic 3 r hrmoic 4 th hrmoic 6Hz 5Hz 783Hz 44Hz A sigle ote will
More informationMulti-Electron Atoms-Helium
Multi-lecto Atos-Heliu He - se s H but with Z He - electos. No exct solutio of.. but c use H wve fuctios d eegy levels s sttig poit ucleus sceeed d so Zeffective is < sceeig is ~se s e-e epulsio fo He,
More informationSimple Methods for Stability Analysis of Nonlinear Control Systems
Poeeig of he Wol Coge o Egieeig Coe Siee 009 Vol II WCECS 009, Ooe 0-, 009, S Fio, USA Sile Meho fo Sili Ali of Nolie Cool Se R. Moek, Mee, IAENG, I. Sv, P. Pivoňk, P. Oe, M. Se A Thee eho fo ili li of
More informationPhysics 120 Spring 2007 Exam #1 April 20, Name
Phc 0 Spng 007 E # pl 0, 007 Ne P Mulple Choce / 0 Poble # / 0 Poble # / 0 Poble # / 0 ol / 00 In eepng wh he Unon College polc on cdec hone, ued h ou wll nehe ccep no pode unuhozed nce n he copleon o
More informationFractional Fourier Series with Applications
Aeric Jourl o Couiol d Alied Mheics 4, 4(6): 87-9 DOI: 593/jjc446 Frciol Fourier Series wih Alicios Abu Hd I, Khlil R * Uiversiy o Jord, Jord Absrc I his er, we iroduce coorble rciol Fourier series We
More informationReview. I will give you these formulas: Sphere: V=frr Circle: A = rr2 Cone: V = I 2rr2h Cube: V = side3
You eed to kow: Rolle s Theoem: f ) f is cotiuous o [.bj, 2) f is diffeetible o (,b), d ) f()=f(b), the thee s oe c i (,b) whee f (c) = Me Vlue Theoem: l) f is cotiuous o [.b d 2) f is diffeetible o (,b),
More informationEE 410/510: Electromechanical Systems Chapter 3
EE 4/5: Eleomehnl Syem hpe 3 hpe 3. Inoon o Powe Eleon Moelng n Applon of Op. Amp. Powe Amplfe Powe onvee Powe Amp n Anlog onolle Swhng onvee Boo onvee onvee Flyb n Fow onvee eonn n Swhng onvee 5// All
More informationSTATEMENT OF ALL VOTES CAST AT THE DIRECT PRIMARY ELECTION HELD JUNE 7,1966. Twenty - ninth. Assembly District KERN COUNTY STATE OF CALIFORNIA
8 Y+ 2 "" *'» O VO < Y O U weny nnh ssebly sc OUY O O hen he ouny lek kes ho Ocl nvss u ll oul ece on hek pge) dy» b 8 ' # * s * % 2l z * & eocc O VO Y 'O U * 2 ll* 22%=====U=========== V============ OOVO
More informationFourier Series and Applications
9/7/9 Fourier Series d Applictios Fuctios epsio is doe to uderstd the better i powers o etc. My iportt probles ivolvig prtil dieretil equtios c be solved provided give uctio c be epressed s iiite su o
More information-HYBRID LAPLACE TRANSFORM AND APPLICATIONS TO MULTIDIMENSIONAL HYBRID SYSTEMS. PART II: DETERMINING THE ORIGINAL
UPB Sc B See A Vo 72 I 3 2 ISSN 223-727 MUTIPE -HYBRID APACE TRANSORM AND APPICATIONS TO MUTIDIMENSIONA HYBRID SYSTEMS PART II: DETERMININ THE ORIINA Ve PREPEIŢĂ Te VASIACHE 2 Ace co copeeă oă - pce he
More informationLesson 5. Chapter 7. Wiener Filters. Bengt Mandersson. r x k We assume uncorrelated noise v(n). LTH. September 2010
Optimal Sigal Poceig Leo 5 Chapte 7 Wiee Filte I thi chapte we will ue the model how below. The igal ito the eceive i ( ( iga. Nomally, thi igal i ditubed by additive white oie v(. The ifomatio i i (.
More informationPHYS PRACTICE EXAM 2
PHYS 1800 PRACTICE EXAM Pa I Muliple Choice Quesions [ ps each] Diecions: Cicle he one alenaive ha bes complees he saemen o answes he quesion. Unless ohewise saed, assume ideal condiions (no ai esisance,
More informationLaplace Transform. Definition of Laplace Transform: f(t) that satisfies The Laplace transform of f(t) is defined as.
Lplce Trfor The Lplce Trfor oe of he hecl ool for olvg ordry ler dfferel equo. - The hoogeeou equo d he prculr Iegrl re olved oe opero. - The Lplce rfor cover he ODE o lgerc eq. σ j ple do. I he pole o
More informationCOMP 465: Data Mining More on PageRank
COMP 465: Dt Mnng Moe on PgeRnk Sldes Adpted Fo: www.ds.og (Mnng Mssve Dtsets) Powe Iteton: Set = 1/ 1: = 2: = Goto 1 Exple: d 1/3 1/3 5/12 9/24 6/15 = 1/3 3/6 1/3 11/24 6/15 1/3 1/6 3/12 1/6 3/15 Iteton
More informationIn this section we will study periodic signals in terms of their frequency f t is said to be periodic if (4.1)
Fourier Series Iroducio I his secio we will sudy periodic sigals i ers o heir requecy is said o be periodic i coe Reid ha a sigal ( ) ( ) ( ) () or every, where is a uber Fro his deiiio i ollows ha ( )
More information