Physical-Layer Modeling of UWB Interference Effects
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- Dana Stevens
- 5 years ago
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1 Cor MDA97--C-56 Approvd or i Diriio Uiid hi-lr Modig o UWB Irr E Dr. J E. dg.i. Dr. Joh C. Koh Dr. Aho A. rioo Wir d wor rh ordi hoogi I. Jr 3 poord D Advd rh ro Ag Advd hoog Oi Ai d iio o UWB Irr E EEX rogr AA Ordr o. 66/ Id DAA/CMO dr Cor #MDA97--C-56 Diriio DAA/CMO A: Mr. Aho E. Ci 37 orh Fir Driv Arigo A 3-74 i@drp.i o op DAA/AO A: Mr. ri Bi 37 orh Fir Driv Arigo A 3-74 o op DAA/AO A: Mr. v Grigg 37 orh Fir Driv Arigo A 3-74 grigg@drp.i wo opi D Cor Mg Ag DCMA prigid DCMAE-GXB DCMA prigid Bdg ADEC ii Ar J o op Co iorio: Dr. J dg ior rh ii ordi hoogi oo 3Z w prig od d B J 77 : : pdg@ordi.o EEX UWB Irr E
2 por Doio g For Approvd OMB o i rporig rd or h oio o iorio i id o vrg hor pr rpo idig h i or rviwig irio rhig iig d or ghrig d iiig h d dd d opig d rviwig h oio o iorio. d o rgrdig hi rd i or ohr p o hi oio o iorio idig ggio or rdig hi rd o Whigo Hdqrr rvi Diror or Iorio Oprio d por 5 Jro Dvi Highw i 4 Arigo A -43. pod hod wr h owihdig ohr proviio o w o pro h o p or iig o op wih oio o iorio i i do o dip rr vid OMB oro r.. EO DAE 3. EO YE /A 3. DAE COEED - 4. ILE AD UBILE hi-lr Modig o UWB Irr E 5. COAC UMBE 5. GA UMBE 5. OGAM ELEME UMBE 6. AUHO 5d. OJEC UMBE 5. AK UMBE 5. WOK UI UMBE 7. EFOMIG OGAIZAIO AME AD ADDEE Wir d wor rh ordi hoogi I. 8. EFOMIG OGAIZAIO EO UMBE 9. OOIG/MOIOIG AGECY AME AD ADDEE. OO/MOIO ACOYM. DIIBUIO/AAILABILIY AEME Approvd or pi r diriio iid 3. ULEMEAY OE h origi do oi oor ig. 4. ABAC 5. UBJEC EM. OO/MOIO EO UMBE 6. ECUIY CLAIFICAIO OF: 7. LIMIAIO OF ABAC UU. EO iid. ABAC iid. HI AGE iid 8. UMBE OF AGE 9. AME OF EOIBLE EO drd For 98 v rrid AI d Z39-8
3 Jr Cor MDA97--C-56 Approvd or i Diriio Uiid Eiv r h EEX progr i od iii o drdig h o irr ro r-widd UWB rir o g iir rdio rivr r o whih r rrowd B riv o h UWB ig whih hv dwidh o h ordr o GHz. h prpo o hi rpor i o do o hi od whih hv dvopd o z h ip o UWB ig o B rivr. hi i wor i ig do i pr wih UWB irr ig progr ig odd ohr pri. hr r wo i opo o h wor prd hr. h ir i did i o h powr pr di D o h UWB ig whih how h diriio o h UWB ri powr ovr rq. h D i drid h pr o h i UWB p; d p poiio odio/dihrig d p pid odio. A r drdig o h D i ipor h i or h dri h ip o B rivr i h o vrg UWB irr powr wihi h rivr pd. hi i dord h od i opo o h rpor whih i o od driig h ip o UWB irr o vr dir rpriv rivr p oh digi d og. h D giv h vrg powr-pr-hz io o rq or h UWB ig. h UWB D od dvopd hr ow h D o opd i or wid rg o dir UWB ig p d id h o p-poiio odio M rdo or priodi pdo-rdo dihrig o h p poiio odio or rdo or pdo-rdo odig o h p pid odio o h id ip UWB r givig igrio gi d odio o h p rpiio rq F ihr priodi F-odig ig or rdo pro h d ig. Giv ihr pii odio d q d dihrig od or h rv ii dripio h D d ig h od dvopd hr. h od o d i or dvopig UWB ig wih pii dird pr propri.g. o h i or o powr io ri d whih i poi r or rhr wor. h UWB ig i ird h B rivr irdi rq IF dwidh or ig h dodor/dor io. I i hror ipor o drd h IF op wvor oid wih h UWB irr. h IF op irr i zd i di d prodr or iig h IF op irr i drid d p r r giv d oprd o h i r ro h D i. h r o h IF op irr dpd o h riohip w h UWB p r d h IF dwidh o h B rivr. I h p r i high oprd o h IF dwidh h IF op irr wi oi o o ig rq CW or oi-i wvor or o oiio o h wo drid h p dihrig d odio. Covr i h IF dwidh d h p r h h IF rov h p i i d h IF EEX UWB Irr E
4 Jr Cor MDA97--C-56 Approvd or i Diriio Uiid op irr ppr ri o p whih hv h por hp o h IF ir ip rpo. Aordig h od or B rivr ip o or o irr oi-i irr d ipiv irr. h digi odio hiq ivigd wr ph-hi ig K wih ohr dio rq-hi ig FK wih ohr dio d FK wih o-ohr dio. Ip w rd i r o h i rror r BE. A og FM rivr w o ivigd wih ip rd i r o d ig-o-oi rio. I or h i or driig ip w h rio o h rivd dird ig powr o h vrg rivd UWB irr powr wihi h rivr pd IF dwidh. h ip w od o vr dpdig o h or o h irr. Wih h digi rivr o irr w gr or ig h Gi oi o h vrg powr d i w od o dpd o h o rq. Wih FM h o o irr o dpd o h o rq d i h wor o ro h rrir h d dwidh h ip w or vr h h o Gi oi wih h vrg powr. Wh h UWB p r d h IF dwidh d h p poiio i dihrd h IF op irr ppr oi-i d h ip i iir o h o Gi oi hogh owh vr i h digi ow BE. hi i h p-o-vrg rio o h irr i iid whih i o h or Gi oi. h highr h p r h rr h ip i o h Gi. For h digi rivr i h p r i h or q o h IF dwidh h BE i r o h rrir o irr rio CI ir h drop hrp o zro h CI o grr h o hrhod v. h CI hrhod i ivr proporio o h p r. hi i h rg pr p i ivr proporio o h p r or o vrg UWB irr powr. For rg o CI ow hi hrhod ow p-r UWB irr h rivr or vr h Gi oi oprd o h i o vrg i-d oi or irr powr. Wih FM hr i iir wih ow p r. Aov CI hrhod h FM rivr ip i h Gi oi. h hrhod vri ivr wih h rio o h p r o h IF dwidh wih h digi rivr. I h p r i q o h IF dwidh h hrhod i o 6 db. hi i h h hrhod or oh ohr d o-ohr FK wh h p r i q o h IF dwidh. h od dvopd hr provid h or priir o h rqir or oi o UWB d B rdio d or i rprodig h r. Cr hr i h or o do idig ppiio o h od o r o pii o ir w dig d riig h od o d iio h r ipri o h ggrg irr rio. Ohr r or rhr wor id dvop o UWB ig dig hiq o id dir pr d UWB rivr hiq o o irr ro rrowd rir. EEX UWB Irr E
5 Jr Cor MDA97--C-56 Approvd or i Diriio Uiid Co Chpr : IODUCIO Oiv por Ovrviw r o Coio d p... 9 Chpr : OEIEW OF HE UWB IGAL AD I IEFEECE O AOWBAD ECEIE..... h Gr UWB ig Mod..... piio Frq Avrg owr d Eiv Bdwidh UWB ig Appid o rrowd ivr Ohr prio o h Eiv UWB Irr por Chrrii o h IF Op Irr... 6 Chpr 3: AALYI OF UWB OWE ECAL DEIY Irodio Appiio o h oio ro Appiio o Fid-Fr UWB ig UWB D Ep UWB Mod D Cio ri Uior do oiio Grizd UWB ig Mod D o h Grizd UWB ig Did Dvop C : riodi Dihrig Cod C : do Dihrig Cod Chpr 4: HE D OF A UWB IGAL WIH ULE EEIIO FEQUECY F MODULAIO Irodio Gr iohip or F Modio Driig h ri i riv oio or h ri i riodi F-Modig Fio ropri o h F Modig Fio D o wp F ig rr io d Cori Ai Approiio or wp F Approi Fir-Ordr oio owr d Erg Ep id Ai oio ig Fr Igr F Modio do ro... 3 EEX UWB Irr E
6 Jr Cor MDA97--C-56 Approvd or i Diriio Uiid Chpr 5: UWB IEFEECE A EE BY A AOWBAD ECEIE Irodio Bd-Eqiv Irr prio Gr iohip Ep: A ig CW o wihi h IF d rrowd ivr po o h UWB q iig h Fird UWB Irr K rr orizio Oprio Ep IF Fir: h -po Fir Ep UWB : h Gi Moo iio idio iio : owr Op v. i... 6 Chpr 6: UWB IEFEECE O A COHEE K ECEIE Mod BE Ai ri Coio Chpr 7: UWB IEFEECE O A COHEE FK ECEIE Mod BE Ai ri Coio... 8 Chpr 8: UWB IEFEECE O A O-COHEE FK ECEIE FK wih AWG FK wih ig UWB d high FK wih ig UWB pr Bi riod d AWG ow FK wih Mip UWB pr Bi riod d AWG FK wih CW Irr d AWG Chpr 9: UWB IEFEECE O A FM ECEIE Irodio ig d Irr Mod ivr po o ig UWB Bd ig-o-oi io Appiii o h High-CI Approiio ivr po o UWB q Bd oi owr E o I-d o Coio... EEX UWB Irr E
7 Jr Cor MDA97--C-56 Approvd or i Diriio Uiid Chpr : IODUCIO.. Oiv h ovr go o h EEX progr i o drd h iiio o h oi o r wid d UWB dvi d ohr iir rdio ro rdio irr prpiv. h prir iii or i h poi or irr ro UWB rir o ohr rdio; irr ro ohr rdio o UWB rivr i odr or hi poi. h EEX progr id wo opo h r dird h oi i: progr i whih d iir rdio r d o piid UWB wvor d pror dgrdio od; d i progr i whih hi od d iio r d o hrriz UWB ig d o z hir ip o dir p o rrowd B rivr. hi rpor do h wor o h ir ph o h i progr whih i h dvop o h i hi od h r dd o pror h irr ip i. Whvr ip rdio r d i h i viro irr id iio. irr poi i d gd dig d dpo oordiio. Wih rrowd rdio oordiio o i righorwrd rq prio d. UWB ig howvr hv dwidh o h ordr o GHz or or. h UWB dwidh hror p h d d ohr rdio ig UWB/B oi or op h B/B oi. vrh hr r r o pproh h d ihr idivid or i oiio o ow UWB d B rdio o oi: Firig o h UWB ig: A UWB ig wi r high-p ird i o o vr i powr rid wihi h HF d owr UHF d. I i o poi o pp ddiio irig hogh h irig wi dior h UWB p wvor whih oproi rpio o h UWB ig i. pi prio: For o ppiio i poi o gr h hr wi o ii di w UWB rir d poi vii rrowd rivr. UWB ig dig: A wi h powr pr o UWB ig dpd o o o h pr o h p i o h pid d poiio odio o h p w h vrg p r. wvor d/or p rpiio gorih digd o void riig igii powr wihi prir rrow d. Appiio-gd ri oordiio: I igrd ppiio h UWB dvi igh d i or wih ohr rdio d oi igh ord highr-r oro pro whih r h UWB dvi do o ri wh ohr rdio r pig o riv d vi vr. EEX UWB Irr E
8 Jr Cor MDA97--C-56 Approvd or i Diriio Uiid I wih ohr p o rdio oi w UWB dvi d ohr rdio i i o hivd id i ppr i o hiv i dig. o do o i i ipor o hv did drdig o how h UWB ig pr d h ip o h UWB ig o rrowd rivr r d h dig prr o h UWB ig d h rivr propri. Dvopig h drdig i h i o o hi rpor. h pproh d i o dvop gr hi od o h UWB ig d h rrowd rivr. hi o o h g or irr ip i o provid iigh io gr priip o UWB oprio d irr hi h o r o ovio ro r or v ro iio... por Ovrviw Chpr giv ri hi ovrviw o h UWB ig d h iv irr ro h UWB ig o rrowd rivr. h i i o provid high-v hi dripio o h iio ig odd o iiriz h rdr wih h oio d gr odig pproh d o provid qiiv prpiv o h wor rpord hr. Chpr 3 o o h powr pr di D o h UWB ig. i r drdig o h D i ipor oh or irr i d or UWB ig dig oidr wor w do o h D i. A w hod or ig h UWB D w dvopd whih ipii h io oprd o ohr hiq vi i h irr. hi hod i pid i h od o Chpr 3 wih or proo i A 3A. Eprio or h D wr o dvopd idpd ig wo dir pproh ro h irr o r h h i D od i orr. h r dod i A 3C d 3D. Chpr 3 o dvop prio or op grizd UWB ig h id igrio gi ip UWB p pr iorio o p ihr pr rdo o-rpig dihrig/pori hiig od or rpig pdordo od i ddiio o h iorio odio whih i gr od oh h p poiio d p pid idig pori. h gr D prio or h UWB ig i drivd i A 3B ig h w hod dvopd hr. h r r o drivd idpd i A 3C d 3D or vriiio. Chpr 3 provid o ip p o D io wih h opig grph whih ir how io o dir prr h ig powr v i prir rq d. A i r ro oh h gr D r d ro h p h UWB D i gr oi o oh dir o pii rqi d oio opo w pr Hz whih i oi-i. Chpr 4 dvop hi od or h D o UWB ig i whih h p rpiio rq F i odd ow i-io or rdo o h owdg o h hor hi i w r o vi i h pi hi irr. EEX UWB Irr E
9 Jr Cor MDA97--C-56 Approvd or i Diriio Uiid pro wih ow ii. I i d h h p r dviio i oprd o h vrg p r. E d pproi D prio r dvopd or h pii o wp F whr h F i odd wooh wv. Fi prio i drivd or h D o UWB ig h i F-odd rdo pro. I i how h i h widd h M p r dviio i igii rgr h h dwidh o h odig pro h D oi o pr vop h hv h hp h proii di io DF o h odig pro d r rd o rqi h r hroi o h vrg F. h widh i rq o h o h vop i proporio o i r rq d h high i w/hz i ivr proporio o h r rq. O rqi w h pr vop hr i gigi powr ro h UWB ig whih dor h ppropri gig h iig o h UWB ig i i poi o void grig irr io pii d. Chpr 5 di i di h UWB ig rrowd rivr. For pi rivr rhir h iiig dwidh wi h o h irdi rq IF io. h IF dwidh i rogh h h ig dwidh. h iv UWB irr h dodor or dor g o h rivr i h op o h i IF g whih odd dpird vrio o h UWB ig. Chpr 5 dvop hi od or hi IFop UWB irr ig i oh h i doi d h rq doi idig prio or d-qiv i-ph d qdrr opo whih o r or pror i. A gorih or iig h IF op irr vop i drid d p r r how. h por d ii hrrii o h IF op irr dpd o h riohip w h vrg UWB p r d h IF dwidh w h poiio odio d dihrig o h UWB p. h IF op i rpo o ig p i h ggrg IF ip rpo whih h ig i h vri ivr wih h IF dwidh. I h p r i h h IF dwidh h h IF rpo wi w iv p d h IF rpo o h UWB ig wi q o IF ip rpo h iig o whih wi h h UWB ig iig. O h ohr hd i h p r i igii grr h h IF dwidh h h IF op wi h o ip ovrppig ip rpo d h vop powr wi dpd o h ph riohip og h ovrppig rpo. I h r i ph d dd oriv h h rivr r rq i hroi o h p r d h rivr op i o v hr i o i h UWB ig pr h rivr r rq. I h ovrppig p r rdo phd riv o o ohr h h IF op ig vri d ppr oi-i. Chpr 6 7 d 8 dvop od or h o UWB irr o idrq digi rivr. Chpr 6 pri o ohr-dd ph-hi ig K Chpr 7 o ohr-dd rq-hi ig FK d Chpr 8 o o-ohr-dd FK. h o oid UWB irr d Gi EEX UWB Irr E
10 Jr Cor MDA97--C-56 Approvd or i Diriio Uiid oi o h i rror r BE r pord or dir UWB p r riv o h rivr IF dwidh d o or h i whih h UWB irr oi o ig CW o wihi h rivr pd. r prd i r o h i-vrg UWB irr powr wihi h IF dwidh. I h p r i grr h h IF dwidh d h p poiio i rdo dihrd h BE do o ppr o vr iiv o h p r or giv vrg i-d UWB irr powr d h o BE i iir o h o Gi oi hogh ow BE h Gi oi i wor d o i iid p-o-vrg rio. I h irr i CW o h o h BE dpd o h rq o h o i vr h h o Gi oi wih h vrg powr. I h p r i h or q o h IF dwidh h BE i r o h ig o irr rio I ir h drop hrp o zro h I o grr h o hrhod v. h I hrhod i ivr proporio o h p r. hi i h rg pr p i ivr proporio o h rio o h p r o h IF dwidh or o vrg UWB irr powr. For rg o I ow hi hrhod ow p-r UWB irr h rivr or vr h Gi oi oprd o h i o vrg i-d oi or irr powr. For oh ohr d o-ohr FK h hrhod i 6 db wh h p r q h IF dwidh. Chpr 9 z h o UWB irr o FM rivr. h r r d i r o h ip o h d ig o oi rio. Wih o irr h ip dpd o h rq o h o d or or vr h h o Gi oi. Wih p r grr h h IF dwidh d dihrig h o h UWB ig o h FM rivr wi opr o h o Gi oi. Wih ow p r h i h Gi oi wh h rio o h rrir dird ig powr o h vrg i-d UWB irr i ov hrhod. Howvr h hrhod vri ivr wih h rio o h p r o h IF dwidh. o h hi i ogo o h I hrhod or digi rivr drid ov. A h p r dr h hrhod ir. I h p r i q o h IF dwidh h hrhod i o 6 db i i wih FK..3. r o Coio d p h i prpo o hi rpor i o do h d od whih hv dvopd o z h o UWB irr o rrowd rivr. h r prd hr or ho rivr gg h h vrg UWB irr wihi h rivr IF dwidh i h prir or h dri h ip wod pd. h ip wi vr ordig o h hrrii o h UWB irr h rivr: o-i oi-i or p-i. h gr od dvopd hr ppid o pii rivr o ir ig hir prr ordig. hi wi ow oprio o odig d ig r. Addiio p id io o h od o iio h o rdi d h ggrg irr ro ip UWB rir. Ohr r or rhr wor id dvop o od or rq-hoppig rivr EEX UWB Irr E
11 Jr Cor MDA97--C-56 Approvd or i Diriio Uiid UWB ig dig hiq d UWB rivr hiq or ro oprio i h pr o ip rrowd irr or. EEX UWB Irr E
12 Jr Cor MDA97--C-56 Approvd or i Diriio Uiid Chpr : OEIEW OF HE UWB IGAL AD I IEFEECE O AOWBAD ECEIE.. h Gr UWB ig Mod h UWB ig o ir hr i q o vr hor p. I h i p wvor i p h UWB ig drid p w - whr d r h ri i d pid odio o h h p rpiv. For i i i o o di d δ D - whr δ i h Dir d io. h UWB ig i h w p d -3 whr do ovoio. h Forir ror o h UWB ig i W D -4 r i gr rdo h UWB ig odd rdo pro d or rq-doi dripio o h UWB ig i h powr pr di D whih rpr h vrg powr-pr-hz io o rq. h D o pro w i dod hr w d h i o w/hz. I h o h UWB ig i h { } d { } w -5 d EEX UWB Irr E
13 Jr Cor MDA97--C-56 Approvd or i Diriio Uiid h r i h gid o h Forir ror o h p wvor p : p d -6 d rpr h rg pr di ED o ig p i i o o/hz. h D o h UWB ig hror rprd h prod o wo opo: h ED o h p i whih provid h ovr rg- hp o h pr d h D o h pro d whih dri h i rr h dpd o how h p i odd i pid d rpd i i... piio Frq Avrg owr d Eiv Bdwidh I h UWB iig rr oi o irv or r o drio wih o p rid i h r. h poiio o h p wihi h r vr ordig o p-poiio odio d/or pdordo dihrig o h p poiio. H ε -7 whr ε id h oid o p poiio odio M d dihrig. h vrg p rpiio rq F i h. h rg i ig p i E p d o -8 d h o vrg powr o h UWB ig i w E w -9 p A qiv rgr UWB p dwidh did E p Bp Hz - EEX UWB Irr E
14 Jr Cor MDA97--C-56 Approvd or i Diriio Uiid whr h or o i h doior r h wo-idd diiio poiiv d giv rqi o. I hod od h i h p wvor p i r h o igir opo i og-ri; h i ; hror..3. UWB ig Appid o rrowd ivr O prir ir hr i h o UWB ig o rrowd rivr. pi h rivr wi d-ovrio prhrod rhir d h op o h i irdi-rq IF g i h ip o h dor or dodor whih rovr h d ig or d. Ao hr wi oi gi oro AGC i h riv hi o void ovrodig IF/d irir whih i r o h rg di rg o rivd rdio ig. h irrig UWB ig wi prod hrogh hi riv hi o h irr io h dor/dodor g rprd h op o dp ir rd o h F rrir rq. i o rdio ovr rg o rq h h ro-d F dwidh i riv wid oprd o h ig dwidh d h iv irig h o h UWB ig wi doid h IF irig whih pi h dwidh h ig. h rr io o h ir ig o h UWB ig hror i dod H IF. I h rq doi h ir op i rpo o h UWB ig i G H W whr g i h op wvor d - IF G i i Forir ror. o h g i dp ig wih oi r rq Figr -. H IF Figr -: Irio o UWB p ED d rrowd ir rq rpo EEX UWB Irr E
15 Jr Cor MDA97--C-56 Approvd or i Diriio Uiid I i or pd o h h dwidh o h UWB p r d h h dwidh o h vii rivr h hp o h p i o ipor h rpo o h rivr IF o ig p wi iv h ip rpo o h IF dod h IF H IF. d ohr w pd. Giv h h idpd o oow. h Forir ror o g i G whih i h ivr Forir ror o i i o ovr h rivr h g o h p wvor H W H D - IF pi h dwidh o h p pr r d h o H IF i i o ovr h pd o i whih IF H IF d G H H IF D D IF < -3 i h IF d p r r hv o igir opo H IF d r og-ri; h i H IF H IF d. I gr ψ i op:. Lig ψ ψ G H H IF IF ψ D ψ D < -4 Fi ig H IF ψ H IF ψ -5 ψ H IF < h H D G IFψ -6 ig h ivr ror giv EEX UWB Irr E
16 Jr Cor MDA97--C-56 Approvd or i Diriio Uiid g h d h IFψ -7 IFψ h vop o h ip rpo h IFψ i h h o h rpo h IF h ph o h drig oior rpo wi hid ψ rdi. Howvr or irr i h o ph hi ψ h o o h d r d i igord wiho o o gri. Fi h D o h IF op i g H -8 IF d I i hror r h h rpo o h rrowd rivr o h UWB ig dpd o h ED o h UWB p h r rq o h rivr d h p odio/dihrig drid h p rpiio q d. A did por dripio o h p wvor i o ipor. A h i r i h h p ED gid h rivr r rq whih rd ig pr zr..4. Ohr prio o h Eiv UWB Irr h ig io h dor or dodor wi o F ig wih r rq rhr rq-hid vrio. For o rivr p i i h vop o g h i o ir d or ohr p h qiv ow-p iph d qdrr opo dod d r o ppi whr g wri i dp or o i g -9 h r por d pr riohip og g dvopd i di i Chpr 5. h vop d ph o g r g d r θ - d i r o h vop EEX UWB Irr E
17 Jr Cor MDA97--C-56 Approvd or i Diriio Uiid h vop powr o g i [ ] g g o θ - g g - Cr giv d whih drivd ro g rq-hid vrio o h ig rig dow-ovrio o r rq i i ord g o i por Chrrii o h IF Op Irr h rpo o ig p orrig i i hif. I B IF i h IF ir dwidh h drio o h ir ip rpo i ivr proporio o B IF. I h vrg p r i igii h B IF h h IF ir w p d h rpo o h UWB irr i q o idivid ip rpo. Howvr i > BIF h hr i ovrp w h rpo o iv p d h r wi dpd o h ph riohip og h iv rpo. For p i p r v pd i i wih r d h r rq o h h i igr ip o h h iv rpo r pr i ph d dd oriv. I i ii grr h B IF h h IF op i ig o o rq d o powr v. hi o oidrd i r o h rq doi. Wih o p r wih o pid odio h pr o h UWB ig oi o o CW o rqi h r igr ip o. I h rivr dwidh i h i pr o o o h o. h IF ir hiv i i rpo i i r rq oiid wih o o h o. I o i wihi h pd o h r rq i i ppr h IF op rdd v orrpodig o h rivr IF ir roo. I >> BIF d h p poiio i vrid h IF op i h o ip ovrppig ip rpo wih dir poi rdo ph riohip. I h ii i h p poiio i rdo vrid ior ovr h UWB r h IF op ppr oi-i d i h diriio o h ow-p opo d pproh Gi diriio. EEX UWB Irr E
18 Jr Cor MDA97--C-56 Approvd or i Diriio Uiid h wo hpr di h UWB D d oowig h Chpr 5 dvop did prio or h IF ir op idig gorih or iig h op i h i doi. EEX UWB Irr E
19 Jr Cor MDA97--C-56 Approvd or i Diriio Uiid Chpr 3: AALYI OF UWB OWE ECAL DEIY 3.. Irodio I zig UWB irr h powr pr di D i o r ipor i h diriio o powr ovr h dwidh o h UWB p dpd o o o h hp o h p pr i o how h p r pid-odd d poiiod i i. I h D i drood i poi o rd or ii irr ro h UWB ig o d rrowd h. D i did h Forir ror o h oorrio o wid- ior W rdo pro. Fro h prpiv o phi ig or diiio i h D i h vrg powr pr Hz io o rq. h i i w rpr h UWB ig h i D w d i h vrg powr h wod rq ir o iiii rrow dwidh d. B diiio h d oorrio o W pro r i-idpd. z µ τ z τ z τ. I h i i z i ior h z d gr UWB ig oior rhr h ior ig h h d oorrio r priodi io o i wih o priod : w w τ w w z τ 3- z o op h D o oior pro i-vrg ovr h priod. hi i oi wih h viw o D h vrg powr pr i dwidh. h i-vrg d oorrio wri µ w w w w ξ dξ τ ξ τ ξ dξ 3- whr h ovrr do i-vrgig d igii pio. h D i h w τ τ w dτ 3-3 EEX UWB Irr E
20 Jr Cor MDA97--C-56 Approvd or i Diriio Uiid Coidr h UWB ig p A i Chpr i i o di w 3-4 o h d δ 3-5 w p d 3-6 d w. 3-7 d I hror i o dri d. o do o i i poi o dri h oorrio pror h piid i-vrgig d pio d h Forir ror d hr r ro vriio o hi pproh i h irr.g. [3] [7] whih r pord i di i A 3C d 3D rpiv. Howvr hr i ipr d or iiiv ppig pproh h d d o h oowig roig. Coidr pro z d di Z z τ d τ τ. 3-8 h d rg pr di ED i i io powr pr di i i Z d rdo pro or giv. I d Z i o/hz o h w/hz whih i r z i ior h i D i hror d Z z 3-9 d EEX UWB Irr E
21 Jr Cor MDA97--C-56 Approvd or i Diriio Uiid EEX UWB Irr E whih i idpd o or z ior. I z i oior h i-vrgig ovr o priod prord givig: Z Z Z d d z 3- whih i idpd o or z oior wih priod. Ahogh h riohip r iiiv ppr i h h D i h vrg r o hg o h rg pr di h r or prov i A 3A. A dord ow ig h riohip ipii h hi o ig h D or UWB ig oprd o ohr pproh. o dor d i opd or i UWB ig ig hi pproh. Wih d δ U d D τ τ τ δ 3- d h i-dpd rg pr di i U U U U D 3- i U U U U 3-3 h ED i: > < U U U D. 3-4
22 Jr Cor MDA97--C-56 Approvd or i Diriio Uiid EEX UWB Irr E ig h i driviv giv > < D d d δ δ δ 3-5 h p i o pror pio d i r i-vrgig. I h q { } d { } r ior i whih h oorrio i idpd o io o o d δ δ δ δ 3-6 Lig γ d diig [ ] γ γ γ [] [] > D d d δ δ γ γ 3-7 I hr r rriio o riv o h oi UWB r odr h δ i dpd o d i-vrgig i r d δ 3-8 whih i h vrg p r. I i rrid h δ wiho i-vrgig. I ihr [] d γ 3-9
23 Jr Cor MDA97--C-56 Approvd or i Diriio Uiid EEX UWB Irr E I h { } d/or { } r ior h h oorrio rqir vrgig ovr ; h i [] γ γ γ whr h ovrr idi vrgig ovr. 3.. Appiio o h oio ro I i o hi prio o w-ow pro. Coidr oio pro z δ 3- wih vrg r λ. h DF o h i w iv p i λ λ d DF or h i w p d p i h Erg DF giv! p λ λ 3- Wih h D i > <!!!! z d d d d λ λ λ λ λ λ λ λ λ λ λ λ 3- i λ λ λ λ λ!! h D i d d d z δ λ λ λ λ λ λ 3-3 whih gr wih r drivd whr ig dir pproh [] p Appiio o Fid-Fr UWB ig I h UWB r drio i h ri i o h h p prd
24 Jr Cor MDA97--C-56 Approvd or i Diriio Uiid EEX UWB Irr E ε 3-4 Lig ε i r h γ. Wih [] 3-5 h powr pr di o h UWB ig i [] w 3-6 h D gr oi o oh oio d dir opo. h rd ro h ov prio prig h odio r i r o i v µ d zro- rd pro µ ~. I ~ i whi; h i [ ] δ σ ~ ~ h [ ] [] δ σ µ d h D i [] w δ µ σ µ σ µ 3-7 whr h i qi oow ro h oio or. h ir r rpr h oio opo o h D d h od r h dir opo pr i. Lig ε i i r h d h. A ov i i ovi o di µ ~ d µ ~. I d r orrd ~ ~ h h D prd w δ µ µ µ µ 3-8
25 Jr Cor MDA97--C-56 Approvd or i Diriio Uiid o h h oio opo h ii rqi wih dir opo d h i µ h h dir opo vih. hi prio i i odiid o id h o r--r pdordo pid odio d dihrig ig w p ε whr h { α } d { } poiio rpiv d h { } d { } α 3-9 ε rpr h o rdoizig o h pid d o or pid d p-poiio odio rpiv. I h h ov dvop ppi wih ε α d h ii propri o oh h odio d pdordo iorpord io h i D prio UWB D Ep o ir h ppiio o h prio dvopd ov o p r. h i hr i o o hiv o dor h pro whih h D i opd or pii. For h p i i d h hr i o pid odio h h p i poiio-odd d pdordo dihrd. h UWB ig d i hror p w ε UWB Mod h p wvor p h Forir ror d rg pr di ED o/hz. A p h ir driviv o h Gi oo i []: p τ 6 τ 6 p whih i how i Figr 3-. hi igh rpr h op o h UWB whih high-p ir. EEX UWB Irr E
26 Jr Cor MDA97--C-56 Approvd or i Diriio Uiid..5 p/p / τ Figr 3-: Ep o i UWB p wvor I Forir ror i p τ τ 6 d h wo-idd rg pr di i: h i or wh prd : τ 3 p τ τ 3 pτ d h ED 6 o 3-34 whr τ 3 τ Figr 3- how or τ.5. EEX UWB Irr E
27 Jr Cor MDA97--C-56 Approvd or i Diriio Uiid ED riv o i db - τ GHz Figr 3-: Erg pr di o h i p o Figr 3-. h o rg i h p i E p p τ 3 3 τ d h vrg p rpiio rq F i Hz o h o powr i h UWB ig i E p w whr do vrgig. I i o o di qiv rgr dwidh or h UWB p : E p 3.8 Bw τ τ h or o i h doior i i wo-idd did or < <. For τ.5 B.36 GHz. w D Cio h oio d dir opo o h D r rpiv: µ w/hz 3-38 w µ EEX UWB Irr E
28 Jr Cor MDA97--C-56 Approvd or i Diriio Uiid wd µ µ δ w/hz 3-39 whr µ d µ. o h id hi i p poiio d o oh odio d dihrig. Ao o h i h v o h pid i zro i.. µ h dir opo vih d hr r o pr i. O h ohr hd i hr i o odio or dihrig h oio opo vih d h pr oi o o dir o. o h h oio D i proporio o h p r d h h powr i h dir pr opo i proporio o d h h pr i or ip o. h did i rr o h D i drid h ii o h pid odio d poiio-hiig r. h D i h prio rpr h vrg powr pr Hz ovr i irv. hi vrgig i r o ii h i vri i h prio h UWB ig i oior d o h rpiiv r rr. h v o h prio i h h ow h UWB ig gror prr o drid h wi giv dird UWB pr. h o ow h vrg powr op o rrowd ir wih piid r rq d ip rpo o d ri o ir how h prio r ppid h h i o d o odio i ± d h h i hoppig od p h oi p poiio ε whr M d ε i h grri o h od-orod p poiio. M ε givig h h p poiio i hror rrid o h irv ori M ε. h p ppr poiio ± ε ± ε ±... M ε ± or o o M poi poiio. I h poiio r d q-i h: E M M ε { } [ ] o ε ε M M ε 3-4 i z M M z z hi o: EEX UWB Irr E
29 Jr Cor MDA97--C-56 Approvd or i Diriio Uiid E ε o { } Mε ε Mε i M ε o 3-4 ε M M i iir E ε { } o Mε ε i M ε. 3-4 M i h oio D opo hror i w Mε ε i o 3-43 M i d h powr i h h dir pr opo i Mε ε i o 3-44 M i A w ip p rv o how h o h prr o h UWB ig pr. A MHz vrg p r i d wih o ig powr o db. hi i d o h d i op powr o db r o MHz. i h i p rg i id w MHz or h vrg o powr op i q o h vrg p r i MHz ig o pid odio. Ao or h p o M i d. h pr r how i r o h powr op o ir wih dwidh o MHz whih i dq o rov h pr MHz p r. hi i rogh ogo o h r o wpig -MHz roio ir ro h d wih pr zr wih powr vrgig. I h ir i i d h ε h ii i roio o h MI UWB or d h M i h UWB r i i hi. I w d h p r rdo pd o o o h - i i h r pr h ov drivio. Figr 3-3 how h r. o h h pr i r MHz pr rhr h MHz pr d o h dihrig MHz ε. Figr 3-4 how pdd viw. A wod pd ro h riohip dvopd ov h oio opo i iiizd rqi whr hr r pr i. EEX UWB Irr E
30 Jr Cor MDA97--C-56 Approvd or i Diriio Uiid I ε i rdd o d M i orrpodig ird o 5 h h pr how i Figr 3-5 r. o h h pr i r ow 5 MHz pr. - ir op powr db M ε -5 w db MHz B IF MHz ir r rq GHz Figr 3-3: UWB D p hrogh -MHz roio ir - ir op powr db M ε -5 w db MHz B IF MHz ir r rq GHz Figr 3-4: Cop viw o Figr 3-3 EEX UWB Irr E
31 Jr Cor MDA97--C-56 Approvd or i Diriio Uiid - ir op powr db M 5 ε w db MHz B IF MHz ir r rq GHz Figr 3-5: UWB pr wih - dihrig od roio I ε i iid M i rdd o h r i how i Figr 3-6 wih pdd viw i Figr 3-7. o h ow hr r i vr MHz h rg dir opo i or vr MHz. I M i ddd wih dviio o. h r i how i Figr 3-8. h dir w Figr 3-8 d Figr 3-6 i h r o whih h.5 GHz d 3.75 GHz or. how i Figr 3-9. hi r rd h dir opo r ho rqi. - ir op powr db M ε -5 w db MHz B IF MHz ir r rq GHz Figr 3-6: E o dihrig ovr o % o h UWB r wih - od roio EEX UWB Irr E
32 Jr Cor MDA97--C-56 Approvd or i Diriio Uiid - ir op powr db M ε w db MHz B IF MHz ir r rq GHz Figr 3-7: Cop o h how i Figr ir op powr db M ε w db MHz B IF MHz M wih ir r rq GHz Figr 3-8: E o ddig M wih.- dviio o riz dihrig wih grri ε prod riv rg pr i prd ε. hr gr wi r pr i prd h r pprd dihrig ovr h ir r; h i Mε. I dihrig i ppid ovr o rio o h r h h r i r o pri pprd. I h ii wih o dihrig h r o pprd. EEX UWB Irr E
33 Jr Cor MDA97--C-56 Approvd or i Diriio Uiid - og[o ] db rq GHz Figr 3-9: h M ipir Mε ε o i Fi h r i ipor o drd. Figr 3- how hi r M i or M 5 d ε. h io i priodi wih i orrig odd ip o ε. h io i h i i vriid ig L Hopi r. Figr 3-: Ep o h i-hoppig ipir i M i Mε ε db v. rq. EEX UWB Irr E
34 Jr Cor MDA97--C-56 Approvd or i Diriio Uiid i Mε Figr 3- how h r o whih i h ipir or h M i ε oio porio o h pr. i Mε Figr 3-: h ipir o or h oio D M i ε opo. Mε ε i Figr 3- how h pr i o δ M i h h oio pr Figr 3- h ii whr h pr i r rog.. o EEX UWB Irr E
35 Jr Cor MDA97--C-56 Approvd or i Diriio Uiid Figr 3-: Dir pr opo o h D Uior do oiio I h ov p i w d h h p poiio w iid o ii r o dir poiio riv o h UWB r odr. Hr i i d h h p ppr whr wihi irv [ α α ] d i poiio i ior-dirid wihi h irv h h proii di io o h p poiio i d α α ε ε ε 3-45 α E α α α { } ε ε dε α i α α α α 3-46 i α ε h r ppi o E{ }. hror h oio D opo i EEX UWB Irr E
36 Jr Cor MDA97--C-56 Approvd or i Diriio Uiid p [ ] v 3-47 φ i α d h powr i h pr opo rq i φv i α o h i α ; h i h p ppr whr i h UWB r h h pr i vih p. I α < h φv i Whi i gr hr wi pr i h ipir wih rq. h i rqi r i d rpid o i h GHz. For p GHz h ipir i i. o how h o h i ipir r Figr 3-3 how i db v. rq. i i i h rv i Figr 3-3 rpr ppr od o h i r whih oi io o rq. Figr 3-3: Uppr od o h ipir i v. rq. EEX UWB Irr E
37 Jr Cor MDA97--C-56 Approvd or i Diriio Uiid o h h prvio dir poiio pproh hi oio p poiio i M ε α d M Grizd UWB ig Mod Whi h od dvopd ov i ir ip i do o o or h poiii o i-r iorio o or ii-gh pdordo dihrig od h rp. A or gr UWB ig od i v w 3-5 whr d rpr h pid d poiio odio rpiv or h h o d v i o-zro o or v wih v. I gr v M p ε α 3-5. whr i h UWB r irv ε d α r rpiv h dihrig d d pid or r o wvor d p i h p wvor. o h. h Forir ror o v i M M β 3-5 whr β ε α. ε d{ α } odd rdo or driii ppropri. h h { } r pri o ii-gh pdordo dihrig od whih drid I hi v v Ao o h v q 3-53 d q q q M. EEX UWB Irr E
38 Jr Cor MDA97--C-56 Approvd or i Diriio Uiid d Q 3-54 Q D o h Grizd UWB ig hr r wo h oidrd. h ir i h o o-priodi rdo dihrig od. I hi h { α } d { ε } r odd rdo. A how i A 3B h D i hi i whr [] w. [] [] 3-56 Wih priodi dihrig od h pro h priod o d how i A 3B h gr prio or h D i: w [] 3-57 Boh o h r dvopd i or di ow Did Dvop C : riodi Dihrig Cod Aig ov h [] µ σ δ [ ] h D i w µ σ 3-58 h od r p io or or ig g[] i g[ ] i : EEX UWB Irr E
39 Jr Cor MDA97--C-56 Approvd or i Diriio Uiid EEX UWB Irr E i i i δ 3-59 whr h i qi h oio or. ig h Q giv h D w Q δ µ σ 3-6 h oio d dir opo hror r: D w w C Q δ µ σ 3-6 o h i h ipr i h odio r i zro- µ h dir opo vih. A i 3-8 i d r orrd h 3-6 wri : [ ] D w w C Q δ µ µ µ µ 3-6
40 Jr Cor MDA97--C-56 Approvd or i Diriio Uiid EEX UWB Irr E C : do Dihrig Cod Wih rdo dihrig od [] M M β β 3-63 Lig β µ β β ~ whr β µ β d ig h β d β r orrd i or h [ ] [ ] δ δ σ µ β β β β 3-64 For [ ] i i M M M µ µ β β 3-65 I h [] i i M M M M M µ σ µ σ β β β β 3-66 hror [] [] i i M M µ σ δ β β 3-67 h D hror i:
41 Jr Cor MDA97--C-56 Approvd or i Diriio Uiid EEX UWB Irr E [] [] [] [] [] [] w M M M M M β β β β β µ σ µ µ σ i i i i i i 3-68 Wih [] [] δ σ µ hi o: [] w M M M β β β µ µ µ σ σ i i i i 3-69 Fi ppig h oio or giv: [] w M M M δ µ µ µ σ σ β β β i i i i 3-7
42 Jr Cor MDA97--C-56 Approvd or i Diriio Uiid A 3A roo o ED Driviv d ED Dir hiq or D Cio Coidr rdo pro h r i. I Forir ror orvd i i: Y τ dτ τ. 3A- Cr Y i rdo pro i i i drivd ro h pro. h d rg pr di i i: Y * Y Y d Diig h oorrio τ τ d. 3A- whih ppi o oh ior d oior pro h pd v o Y d Y i: d. 3A-3 iig τ d ξ oordi i Figr 3A- h r i h w τ ξ τ ξ d τ dξ dd dd 3A-4 d 3A-3 o: Y τ ξ τ τ dξ. 3A-5 τ dτ τ Wiho o o gri givig EEX UWB Irr E
43 Jr Cor MDA97--C-56 Approvd or i Diriio Uiid Y τ ξ τ τ dξ 3A-6 τ dτ ξ τ ξ ξ τ τ Figr 3A-: Coordi rorio I i ior h h oorrio i io o τ o d I h Y τ dξ 3A-7 τ τ dτ d d Y 3A-8 τ τ dτ whr i h powr pr di o. ow oidr oior pro wih priod ig h τ τ whr i igr. h ro A-6 d d X τ d ξ τ d. 3A-9 τ τ dξ dτ i EEX UWB Irr E
44 Jr Cor MDA97--C-56 Approvd or i Diriio Uiid EEX UWB Irr E τ τ τ τ τ ξ τ τ ξ τ d d d 3A- d τ τ τ 3A- 3A-9 o [ ] τ τ τ τ τ d X d d 3A- o h τ τ τ d X d d whih i gr h igir opo i τ τ d hror o rpr powr pr. h D o oior pro gr i rprd i-vrg ovr o priod h i τ τ τ τ τ τ d d d 3A-3 whr d τ τ i h i-vrg oorrio io. Fro 3A- τ τ d [ ] [ ] d d d d d X d d τ τ τ τ τ τ τ τ τ τ τ τ τ 3A-4 hror { } X X d X d d 3A-5
45 Jr Cor MDA97--C-56 Approvd or i Diriio Uiid A 3B Drivio o h D or h Grizd UWB ig ig h ED Dir Mhod hi A driv prio or h powr pr di o h grizd UWB ig v w 3B- whr h { }pid odio d { } poiio odio r gr r odd dir pro wih prrid ii propri d h wvor v i o-zro or v o wih v. I hi v i dihrig -od did v M p ε α 3B-. A how i A 3A wih W w τ w For h UWB ig τ dτ h D prd { } 3B-3 W W W v τ τ dτ 3B-4 whr v τ i v τ dτ d v i iid o h i irv v i or. Giv h piid ori hi v. v EEX UWB Irr E
46 Jr Cor MDA97--C-56 Approvd or i Diriio Uiid EEX UWB Irr E h or. H [ ] U whr [ ] U i h dir p io did [ ] < U 3B-5 hror [ ] U W 3B-6 d h orrpodig rg pr di i i: [ ] [ ] U U W. 3B-7 Lig [ ] [ ] d h vrg ED i i [ ] [ ] [ ] [ ] U U W 3B-8 d ro h D i { } [] [] [ ] [ ] [ ] [ ] U U U U W W w 3B-9 oig h [ ] [ ] [ ] [ ] [ ] [ ] U U U U U U d h [ ] [ ] [ ] U U δ whr [ ] δ i h Kror d io h D o: [] [] [] [ ] [ ] [ ] [] [] [] [ ] [] [] w U U U U δ δ 3B-
47 Jr Cor MDA97--C-56 Approvd or i Diriio Uiid EEX UWB Irr E o h i v v h [] d [] w. I h ip i p v h [] w whih i h h r drivd prvio or h i UWB ig or. Wih priodi dihrig od h pro h priod o d h D i: { } K K w W W K W K W 3B- Foowig h D i [] [] [ ] [ ] [ ] [] [] [ ] K K K K K K w U U U U δ δ 3B- i K K K K 3B-3 or igr d h D rd o: [] w 3B-4
48 Jr Cor MDA97--C-56 Approvd or i Diriio Uiid A 3C Ai o Grizd UWB D Uig h Mhod o o d izzo [3] r I: Mod Dvop Irodio Erir wor o h owr pr Di D o Ur-Widd UWB wvor did o oidr h o p rpiio pr iorio o whih r i igrio gi d h priodii o h pdo-rdo i-hoppig H od.g. [4]. Howvr h r i [3] i h o gr rpord h r i h i o or oh o h ov-iod UWB wvor prr. hror oowig h hodoog hd i [3] hi A vrii h i r rpord hri providig or did d rigoro drivio o h D or gr UWB wvor. h grizd D prio o or h oowig prr:. Arirr UWB p hp d rpiio diipi. A o AM d M odio h or oiio hro 3. Arirr H od wih ii priod 4. rpiio pr d o igrio gi h grizd D prio drivd i hi rpor viwd or o hodoog o op h D rhr h prio whih pii how h dpd o h UWB wvor prr o h powr pr. hror o gi iigh io h o vrio prr o h pr i i r o pror iio ig hi r. i hr i v i howig i h i o h vrio prr i r II o hi A h dpd o h D o h wvor prr d h od d odio ii wi pii how. h i r i r II h grizd D prio drivd hr h rig poi. UWB Wvor Mod hi io pr h UWB ig od i r o h wvor prr. hi od wi or h i or h D drivio h oow i h io. i h rg priodii i d o h o h H od i i hi priod h wi d o or hi wvor opriig o r UWB p how i Figr 3C-. A priod o h H od dod H i d o oi q izd i o drio h h H. Eh oi o iorio o. H h o r i /. Frhr h iorio o i oprid o ip r or r UWB oo h r odd h d o. h r o oo pr d o i dod d i q o h igrio gi. Eh oo or i r o iz. Agi h r rr i o h ori. h vrg p rpiio EEX UWB Irr E
49 Jr Cor MDA97--C-56 Approvd or i Diriio Uiid rq F i giv /. For oo o widh p h d i did p /. Wihi h i h r o r rpiio h poiio o oo i drid h H od hip i whr h id rr o h h o wihi h H priod. h od hip v ro o wih grri h h. H H H 3 H 3 H 3 3 UWB p o widh p 3 3 Figr 3C-: rr o h UWB Wvor. Wh M i pod h poiio i ddiio drid h d o whr rr o h h i-hoppig priod. h grri o h poiio-d odio i dod d. o ood p pid odio AM h h BK or OOK h i wvor h ipiio or whr d r did or. Giv h diiio h hizd wvor who drio i q o h o h priodii o h H od i giv H i δ d i i 3C- Wih h ov dripio o h opoi wvor o orvio r i ordr. Eh wvor oi H r UWB p. h io o prir wvor dpd o h v o H iorio o d H H od hip. For M -r odio h h o r o wvor q H H M. EEX UWB Irr E
50 Jr Cor MDA97--C-56 Approvd or i Diriio Uiid Fi h UWB ig i rprd oio o i-hid wvor : Θ 3C- d H whr Θ i rdo vri idpd o d d wih diriio ior i H. h prpo o h rdo vri Θ i o o or h rirr i origi. Eh o h wvor hogh o ppig ro I.I.D. q d H H whr h d o M v wih ri proii diriio dpdig o h diriio o h d o d h od hip. o h h p hp or h od i 3C- i d o ip io Dir-d. Howvr hi do o ii h gri o h D drivio i h h D or rirr p hp v i oid ro h o ig h ip io ppropri irig i. D Drivio I ordr o op h pr h oorrio o i ir drivd d i i hr how h h UWB ig odd i 3C- r i orrio ior pro. h h D i rdi oid ig h Forir ror F o h oorrio io. Wih h high-v h w gi h drivio o h oorrio io or h UWB ig oow τ E E h * { τ } d H Θ * d τ h H Θ 3C-3 I 3C-3 h pio i ovr h vri d d Θ whr d i io o h q o od hip d d o. rorig h vrgig ovr Θ o 3C-3 id τ E H E h h H d d H H Θ Θ * d h * d h τ h τ h H H Θ Θ Θ dθ 3C-4 EEX UWB Irr E
51 Jr Cor MDA97--C-56 Approvd or i Diriio Uiid ow h pio wihi h io oprio i 3C-4 dopod io wo dpdig o whhr h oi o h do io r ir or ro-r:. Epio ovr wo idpd d d d h. Epio ovr o d Frhr or ovi w irod wo p d q whih r idpd d dirid i d d d h. h prig h io r i 3C-4 io h wo drid ov h oorrio i prd τ H E p H h τ τ H E H p H H Θ Θ * q * p τ τ h H H Θ dθ Θ dθ 3C-5 whr τ d τ do h d d r o h righ hd id H o rpiv. ow oig o h r d ig H Θ w hv τ H E H E * p p H * H p p τ d τ d 3C-6 Agi ig q 3C-6 o * τ E p q p q τ dq H 3C-7 E{ p τ } H EEX UWB Irr E
52 Jr Cor MDA97--C-56 Approvd or i Diriio Uiid h r i h driii oorrio io whih i did * d [4]. Ao o h h H o 3C-7 dpd o o τ d horh h dpd o wi droppd or h i-r opo o h ohi oorrio io did i 3C-3. w o o h ro-r opo o h ohi oorrio io giv H * τ E p H Θ q τ hh Θ dθ 3C-8 H h ig H Θ 3C-8 o τ H E H E p h H H * q p h * q τ h τ h H d H d 3C-9 Agi ig q 3C-9 o τ H H E E h H E p q p q p h τ h τ q H * q q τ h H H dq 3C- h r h i h driii ro-orrio io whih i did * h d [4]. i h H o dpd o o τ H h dpd o wi droppd or h ro-r opo o h ohi oorrio io did i 3C-3. iig 3C-7 d 3C- i 3C-5 w hv EEX UWB Irr E
53 Jr Cor MDA97--C-56 Approvd or i Diriio Uiid E * { τ } τ E{ p τ } E{ p q τ H } H E { p τ } E{ p q τ } E{ p q τ H } H H H H 3C- h oo prio i 3C- how h h oorrio o dpd o o τ d h i orrio-ior. hror h D o i oid ig h Forir ror o h H i 3C-. I i how i o h d o hi A h h Forir ror o h roorrio d o-orrio io r giv F τ F τ h τ τ * h Appig h ov Forir ror propr o 3C- w hv 3C- H H * E{ p } E{ p q } E * { } p q H 3C-3 whr p i h Forir ror o p did i 3C-. h ig oio or or h r i 3C-3 i oow h H H * E{ p } E{ p q } E * { } p q δ H 3C-4 h ov prio i h D or UWB p who hp i did h Dir d io. ow or h gr o rirr UWB p hp h D i rdi oid ro h D prio i 3C-4 ig h oowig propr o ir i ivri LI ir. Y H X 3C-5 EEX UWB Irr E
54 Jr Cor MDA97--C-56 Approvd or i Diriio Uiid whr X d Y r h ip d op powr pr dii rpiv o ir who rr io i giv H. hror ig 3C-4 d 3C-5 h UWB D or rirr p hp v i giv H H H * E{ p } E{ p q } E * { } p q δ H 3C-6 whr p i h Forir ror o h UWB wvor did i h p h priod o h H od d i pii did i 3C-. I h ov D prio H i h priod o h i-hoppig od. h ov prio how h porio o h ig powr giv E{ p q }d * i rovd ro h oio porio o h pr d H ppr o pr i ip o h H od rpiio rq /H. o h h igrd i h Forir ror o h vrg ro-orrio io. H r h ro-orrio io h r h rgh o h pr i. hi orvio gg h h p d highr r rig rr hod o digd o p h p rdd ii ro o od priod o h o rd pr i. i h i oid h i o o hi rpor h wi rgd o r ivigio. Coio hi ir pr driv gr prio or h powr pr di D o UWB wvor ig o h oowig:. Arirr UWB p hp d rpiio diipi. A o AM d M odio h or oiio hro 3. Arirr H od wih ii priod 4. rpiio pr d o igrio gi I i how h h D i dpd o h o- d ro-orrio o h pr o h UWB wvor did wihi od priod. h UWB D hii pr i h ppr igr ip o h od rpiio rq whih i did h ripro o h H od priod. Frhr i i orvd h powr oid i h pr o h ro-orrio io o h opoi wvor i rovd ro h oio porio o h D d ppr pr i. EEX UWB Irr E
55 Jr Cor MDA97--C-56 Approvd or i Diriio Uiid r : Did UWB D Ai Irodio hi wor h grizd powr pr di D r i r I d r h pii i r o h ii/pr o h i-hoppig H od d odio. h i r dvopd i r whih i d i hi rpor i rizd oow. I h UWB wvor i rprd Θ whr H rpr h wvor i h h H od o priod H d Θ i rdo vri idpd o d d wih diriio ior i H h h D i giv H p H * q p p δ H * q 3C- whr p i h Forir ror o h UWB wvor i h p h priod o h H od. D Ai I h wvor rpr h h od wih h r p i gr pid- d poiio-odd h H δ 3C- whr h prr r did i r I ov. * Wih h ov diiio i p w driv p d p q i r o h ii o h odio o d h H od whih wi h id i h 3C- o g h grizd D. d h Forir ror F o hi wvor i wri H d D 3C- EEX UWB Irr E
56 Jr Cor MDA97--C-56 Approvd or i Diriio Uiid whr D i h F o h h -H od d i did ow. h od pr i drivd ow i r o h pr o h h -H od. h H od i ir did H d δ 3C-3 h h Forir ror o h H od i oid D H D 3C-4 whr D whih i h Forir ror o h h -H od i giv D 3C-5 * Wih h ov diiio i p w driv p d p q i r o h ii o h odio o d h H od whih wi h id i h qio ow r ro r o g h grizd D. H p H * q p p δ H * q 3C-6 Uig 3C- p i oid p D p H H p p p * d d D * 3C-7 h prio i 3C-7 ipii idpd og h H od d h pid d poiio odio o. ow h orrio ii o h odio o i 7 o o wo v dpdig o whhr or. EEX UWB Irr E
57 Jr Cor MDA97--C-56 Approvd or i Diriio Uiid EEX UWB Irr E H H H H H H H p D D D D D D D * * 3C-8 whr q p q p p d q d p q p p p p or or * * ω ω 3C-9 I i o ipid i 3C-9 h h orrio io r idpd o d. iir * q p i drivd H H H H d q d p q p q p D D D D * * * * 3C- iig 3C-8 d 3C- i 3C-6 w g [ ] H H H A A δ 3C- whr H H H D A D D D A * 3C- ri pig i h prod o h hrrii io o d p d d p.
58 Jr Cor MDA97--C-56 Approvd or i Diriio Uiid h D prio i 3C- i i qi gr p or h pio o h odio ii i 3C-9 d how h o h H od pr o h UWB D. I i ro h h oio porio i d o h -H od pr whr h dir opo i d h pr o h ir od. w o pio o h H od ii h how h o hodig h odio o or p. hi p i rqird i i rid i h -od pr did i 3C-5. Di : or 3C- wih ig idpd o od hip oio. Bd o diiio i 3C- A dopod A A A whr A H H D D * 3C-3 Uig 3C- d 3C- A prd i r o EEX UWB Irr E
59 Jr Cor MDA97--C-56 Approvd or i Diriio Uiid EEX UWB Irr E H D A H H H H i i 3C-4 iir A prd i r o. W gi wih h diiio o A i 3C-3 d i rpd ow H H D D A * 3C-5 ow w v * D D wh oow * i i D D 3C-6 iig 3C-6 i 3C-5 A i prd H H H A H H H H i i i i i i i i 3C-7
60 Jr Cor MDA97--C-56 Approvd or i Diriio Uiid Fi oiig 3C-4 d 3C-7 A i oid oow A H H i i H i i 3C-8 iig 3C-4 d 3C-8 i 3C- w g H i H i H i H i H H i i δ H 3C-9 w driv h D or ri pi whr h igrio gi d H priod h v i or iii. E o Cod Lgh d Igrio Gi C I: H od o iii gh A h h H od vr rp or qiv h priod o iii drio. hi i rprd H H iig h ov odiio i 3C-9 w g whr H h h 3C- H 3C- EEX UWB Irr E
61 Jr Cor MDA97--C-56 Approvd or i Diriio Uiid EEX UWB Irr E H H H H H H δ i i i i i i i i 3C- ow ro h r drivd i o w hv i i i i H H H H H H δ δ 3C- iig h r i did i 3C- δ i i 3C-3 Fro 3C- d 3C-3 h D i i oid { } D D δ 3C-4 whr i i D 3C-4
62 Jr Cor MDA97--C-56 Approvd or i Diriio Uiid EEX UWB Irr E - I: Ui igrio gi hi i h i whih o p i odd o iorio o. iig i 3C-4 w g [ ] δ 3C-5 - II: Iii igrio gi iir ig i 3C-4 d ig h r i 3C- w g δ 3C-6 h D prio how h h odio o ogr h D. hi i iiiv iig i iii p r ow odd h iorio o iv rovig vriio i h p q d o h odio o. Addiio i hr i o i-hoppig i.. h ov prio idi h h oio opo wod dippr wih o h powr pprig o pr i. C II: H Cod rp vr o I hi H or H i.. h H od rp i ro o o drio o h. iig H i 3C-9 d ig r i 3C- w g 3C-7 whr D D δ 3C-7 - I: Ui igrio gi hi i h whr o p i odd o iorio o. iig i 3C-7 w g
63 Jr Cor MDA97--C-56 Approvd or i Diriio Uiid [ ] δ 3C-8 I hi h od rp vr p d h iv rov i dihrig. hror h D hod o d h H od i or o i h prio i 3C-8. - II: iir ig Iii igrio gi i 3C-7 d ig h r i 3C- w g δ 3C-9 Agi iir o h o iii gh H od d iii igrio gi h o odio ro h D vih. O h ohr hd i hr i rdo od hip or h p og h p d o rpr o odio o h o. i i h o iii od gh. H hi prio i h h o h orrpodig - wh H 3C-6. I oio ro 3C-5-3C-6 d 3C-8-3C-9 h o igrio gi d gh o H od o h D rizd oow: E o H od gh: o h i o h od gh i i ipi h h hip i d vr p. B ig H o ipi h h od rp vr o whih oi o ip p dpdig o h igrio gi. hror ig h ov diiio h i gh od i o hivd ig oh d H q o o. h iii od gh o h ohr hd i giv ig or H q o iii. I r h i gh i giv 3C-8 d h iii gh i giv 3C-5-3C-6 d 3C-9. Coprig h qio i i h i gh i qiv o o odig. Iii gh od o h ohr hd rov powr proporio o h o-zro g od-orrio ro h oio opo d ovr i o pr i. i h o-zro g od-orrio o od i digd o i oow h h i o i hoppig r iizd wh od o rg gh r d. E o igrio gi: h o igrio i orvd oprig h prio or d or id od gh. H oprig 3C-3 d 3C-6 or 3C-8 d 3C-9 i i h igrio gi ir h o odio ii o h D vih. H oro o h D hrogh EEX UWB Irr E
64 Jr Cor MDA97--C-56 Approvd or i Diriio Uiid odio o iiv i rg igrio gi i rqird or UWB oiio. E o Modio ii I hi io h o odio d ii o h D r pii how. L µ whr { E } E µ. I ω d µ p µ d { } h i zro- rdo opo. h ro 3C-9. iir. d r orrd or h gi ro 3C-9 E{ p p } E{ } µ r orrd or h µ.. I or d iig d i 3C-9 w g H i H i H i H i H H i i δ H µ µ µ µ 3C-3 Fro 3C-3 i i h wh zro- pid odio i d h pr i vih. Zro- pid odio o ipi h o o h ii o hp h riig ooh porio o h pr hrogh poiio odio. h i i hrid odio p oiig BK d M wr pod o ii pr i odio prr o ogr d o hp h oio porio o h pr. Ao i h hrrii io o h poiio odio { d } i zro igr ip o h od rpiio rq /H h h pr i gi vih op. Coio hi A driv i prio or h powr pr di D o UWB wvor i r o h propri o h UWB wvor prr. pii i i how h h D i d propri o h i-hoppig H od ii propri o h odio h d h igrio gi ddd i h UWB wvor. For od wih ii priod i i how h pr i ppr igr ip o h od rpiio rq did h ripro o EEX UWB Irr E
65 Jr Cor MDA97--C-56 Approvd or i Diriio Uiid h H od priod. I i h h i o good od dig ow o-zro g orrio r iizd wh ig od o rg gh. Covr h powr o h H od o ior h pr diiih h priodii o h od dr. h D i o d h igrio gi. Wh h igrio gi i ow h D orod h odio h. hi dpd o h D o h odio vih h igrio gi o vr rg. I i how h or zro odio h BK h pr i vih op. Howvr og wih h iiio o h pr i h ii o oro h oio porio o h pr i o o. I h o p poiio odio i i how h h pr i vih i h hrrii io o h poiio odio hii h H od rpiio rq. Howvr iod rir hi oro o h pr ig h odio o iiv wh rg igrio gi r rqird or h UWB oiio. OE Drivio o Forir ror o h Corrio Fio Di gr ro-orrio io * τ τ d h go i o id h Forir ror F o h ro-orrio io did ov. h F o i drivd oow: τ F X Y τ [ Y ] * τ τ τ * τ * τ τ d dτ d * dτ d * d * τ d d τ Uig h ov r h F o h o-orrio io i oid * Fτ τ X X X dτ EEX UWB Irr E
66 Jr Cor MDA97--C-56 Approvd or i Diriio Uiid OE roo o d i h. roo o i i i δ i L G i rprio. h priod o G d whr h H i h Forir ri G i Hz. h oii r i i i L G d d i i i i Fro [6] d i[ β ] β d > ro [6] p whr H d i G δ whr h qi i ro oio or.. roo o i δ I gr d i whr d o v i δ ξ δ ξ.. Z d whr EEX UWB Irr E
67 Jr Cor MDA97--C-56 Approvd or i Diriio Uiid h i δ i Z Z ξ δ ξ dξ dξ EEX UWB Irr E
68 Jr Cor MDA97--C-56 Approvd or i Diriio Uiid A 3D UWB D ig h hod o io Hidi d Lid [7] h UWB ig rprd : v 3D- I oorrio i: { } { } τ E τ E v v τ 3D- whr E{ }. Wih v d hi o Λ z τ E{ } z z z z zτ dz d 3D-3 Avrgig ovr giv Λ z τ τ E{ } z z z z zτ dz d 3D-4 d ig h Forir ror ovr τ giv h D EEX UWB Irr E
69 Jr Cor MDA97--C-56 Approvd or i Diriio Uiid EEX UWB Irr E { } dz d d z E d z z z z z Λ τ τ τ τ τ 3D-5 i z d z δ τ τ { } d E Λ 3D-6 ipig giv { } d E Λ 3D-7 hi prio d poi o dprr or vr dir dpdig o whhr or o h { } d/or h { } r oior. h ip i i ihr r. I h d { } E Λ dod. h i vrg i ovr h r irv givig d i 3D-8 d hror { } d E Λ i 3D-9
70 Jr Cor MDA97--C-56 Approvd or i Diriio Uiid EEX UWB Irr E Lig hi o d i 3D- Fro h oio or δ givig i 3D- i or h: 3D- Lig d { } E giv:. 3D-3 Lig µ α wih α d µ giv µ α. iir µ β d β β µ. o h β. Aig h β α h D i µ µ µ µ µ µ 3D- 4
71 Jr Cor MDA97--C-56 Approvd or i Diriio Uiid i δ µ µ µ µ δ 3D-5 d h oio d dir opo o h D r [ ] 3D-6 µ µ d µ µ δ 3D-7 whr { } E µ. o h id hi i p poiio d o oh odio d dihrig. E o Fii-Lgh Dihrig Cod A ow h h { } rpr p poiio hi d o odio o d h priodi dihrig o p poiio i o ipod givig o ig o v ε 3D-8 whr ε i h p poiio hi d o h dihrig od. h dihrig od i rprd d ε δ 3D-9 wih D ε. 3D- EEX UWB Irr E
72 Jr Cor MDA97--C-56 Approvd or i Diriio Uiid EEX UWB Irr E I hi h { } ε r prdid o rdo. h rg pr i D ε ε 3D- h D o h dihrd UWB q o: { } d E Λ ε ε 3D- A or ig d ε ε ε hi o d ε 3D-3 oig h g g d ε ε h ir wri δ ε ε ε ε 3D-4 whr h i qi oow ro h oio or. iig d igrig ovr giv:
73 Jr Cor MDA97--C-56 Approvd or i Diriio Uiid EEX UWB Irr E ε 3D-5 h i vrg ovr h priod o h dihrig q: i d 3D-6 d wih or h D o ε ε ε ε 3D-7 Aig or h µ d µ or id h oio d dir opo [ ] [ ] µ µ µ µ 3D-8 d ε ε µ µ 3D-9 h dir opo prd i or or rogizig h: ε ε ε ε 3D-3
74 Jr Cor MDA97--C-56 Approvd or i Diriio Uiid EEX UWB Irr E ig giv δ ε ε ε ε 3D-3 H D δ δ ε ε ε ε 3D-3 d d D D δ µ µ δ µ µ 3D-33 Igrio Gi ow h v 3D-34 whr v rpr dihrig -od: M p v ε 3D-35
75 Jr Cor MDA97--C-56 Approvd or i Diriio Uiid whr M d p ow rpr h i UWB p wvor d ε i h p poiio o or h h hip i h h -od. h o dihrig od i d v 3D-36 o v v d d d d Ao o h M. D 3D-37 d D 3D-38 hi i grizio o h prvio. h D i Λ E{ } d 3D-39 Lig hi o d 3D-4 A ov h ir wri EEX UWB Irr E
76 Jr Cor MDA97--C-56 Approvd or i Diriio Uiid EEX UWB Irr E δ 3D-4 whr h i qi oow ro h oio or. iig d igrig ovr giv: 3D-4 h i vrg gi ovr h priod o h dihrig q: i 3D-43 d wih or h D o 3D-44 Wih µ d µ or h oio d dir opo r [ ] µ µ 3D-45 d µ µ 3D-46 o p h dir opo io or or
77 Jr Cor MDA97--C-56 Approvd or i Diriio Uiid EEX UWB Irr E D δ δ 3D- 47 d d D δ µ µ 3D-48 r I h o gr zd hr hr r M r or od hip pr odio o d odio o pr od gh. h r drio i o h o od drio i M. I w d i h ov h h i p wvor hp w idd i h diiio o h -od; i.. M p v ε 3D-49 d hror h p pr i o pii how i h rig prio. Howvr h -od od did M v ε δ 3D-5 d h rig oio d dir opo o h D o
78 Jr Cor MDA97--C-56 Approvd or i Diriio Uiid [ ] µ M µ 3D-5 d M µ µ D δ M 3D-5 Orvio h pid d poiio-odio r w ppr oghr. Diig { } i i r h E d h i d h i E{ } µ h µ µ µ 3D-53 r orrd µ h wr d orrd i h drivio. I h wih σ µ σ 3D-54 M d M µ D δ M 3D-55 Howvr v i r orrd h r i h diig i h drivio d Λ { } E 3D-56 d rovig h r givig 3D-57 EEX UWB Irr E
79 Jr Cor MDA97--C-56 Approvd or i Diriio Uiid whih d o h ov r. h h D prd i r o ig op odio o h o or oh pid d poiio odio. Cr i h odio o i zro- h dir opo vih. I h ov prio h D w prd i r o h pr o h dihrig od d -od i h r driii. I h r rdo h pio ovr h pr. EEX UWB Irr E
80 Jr Cor MDA97--C-56 Approvd or i Diriio Uiid Chpr 3 r [] A. poi roii do ri d ohi ro hird diio MGrw-Hi 99 p. 3. [] A ro d Wihigo i Modd Ur-Widd M-UWB Ovrviw prd Wir poi/or Dig F. 5 Jo CA. [3] J. o d L. izzo O h owr pr Di o i-hoppig Ip dio IEEE Co. o UWB d hoogi UWB Bior Mrd M -3. [4] M. Z. Wi pr di o rdo i-hoppig prd pr UWB ig wih ior iig ir ro. MILCOM o [5] J. G. roi d M. hi Coiio Egirig ri-h Uppr dd ivr J. [6] I.. Grdh d I. M. zhi o Igr ri d rod Adi r w Yor 98. [7] M. K. io. M. Hidi d W. C. Lid Digi Coiio hiq ig Dig d Dio ri-h Uppr dd ivr J 995. EEX UWB Irr E
81 Jr Cor MDA97--C-56 Approvd or i Diriio Uiid Chpr 4: HE D OF A UWB IGAL WIH ULE EEIIO FEQUECY F MODULAIO 4.. Irodio Up o hi poi i h d h h UWB p poiio i h r i vrid o r--r i dr h oro o oiio o odio d rdo or pdordo dihrig pro d h h p poiio i iv r or o o r i i-r odio o r d r gr idpd. Frhr h vrg p r or p rpiio rq F i o. Wih F odio h p r i i vrid i piid odig wvor or rdo pro wih ow ii. hi io dvop h hi odio dd o drd h hrrii o UWB ig h i F-odd. Bi riohip r dvopd ir. Foowig h h D o wp-f ig i drivd d p r r prd. Fi prio i drivd or h D o UWB ig h i F-odd rdo pro.g. iorio-rig ig. 4.. Gr iohip or F Modio I h iig-dpd opo o UWB ig i prd h ip q d δ 4- h h ppr io p r did r 4- I hror dihrig or p poiio odio rpr odio o h F. Howvr h F i vrig r h i o h ordr h r r i.. h vrg F i d vrg F wih h vrg ovr r o r i i-ivri. Covr F odio ipo i vriio o h p r ordig o o r whih i ihr ow pii or i rdo pro wih ow ird giv r i i d od-ordr ii. h pro hr i o id h D o EEX UWB Irr E
82 Jr Cor MDA97--C-56 Approvd or i Diriio Uiid i i i rdo. I h did dvop ow h wo wi rd pr. i driii or h ii o r For h diiio w F odio d ovio dihrig o ig i gr wi d h h vriio i h p r i ow riv o h io r. hi h i h << Driig h ri i For o i-vrig p r r h riohip w d i r d 4-4 whr i h r i o h ig d i h r o p grd i h i. hi i i wih og o od rvig righ i wih ivrig voi v ph. h di ovrd i i i v d. I hr r rr -i irv orrpodig o igr v o h h i rqird o rh h h i rr i d i ogo o h i whih h h p i rid. o h i z U whr z o U i h Hviid p io h r d U 4-5 d o z r α dα r d d Ao z. hror EEX UWB Irr E
x, x, e are not periodic. Properties of periodic function: 1. For any integer n,
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