11-03-0940-04-000n-tgn-channel-models

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Eric Jaco/sen,


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Lis& o) Par&ici*an&s

Vinko Erceg ?Zyray Wireless$auren% &c'u#ac'er ?(a#ur )niversi%y*erse+oni yri%si ?.al/org )niversi%y

aniel au# ?E 3 )niversi%y.n reas Molisc' ?Mi%su/is'i Elec%ric.le ei 6orok'ov ?*'ili7s 8esearc'Valen%ine J" 8'o es ?


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+e,ision is&ory

%a&e ersion %escri*&ion o) c$an es1B9B04 01 *aragra7' a e in &ec" 4"1 escri/ing K -+ac%or si#ula%ion 7roce ure"

*aragra7' a e in &ec" 4"C"1 escri/ing 'ig' .* an%enna 7lace#en%s"ABCB04 02 orrec%ion o+ au%ocorrela%ion +unc%ion an co'erence %i#e +or#ula in

&ec 4"D"1 ?inclusion o+ f d " E ua%ions ?4 an ?D !ere u7 a%e "CB4B04 0A a/le


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1. In&rod'c&ion

Mul%i7le an%enna %ec'nologies are /eing consi ere as a via/le solu%ion +or %'e ne %genera%ion o+ #o/ile an !ireless local area ne%!orks ?W$.( " 'e use o+ #ul%i7le an%ennaso++ers e %en e range, i#7rove relia/ili%y an 'ig'er %'roug'7u%s %'an conven%ional singlean%enna co##unica%ion sys%e#s" Mul%i7le an%enna sys%e#s can /e generally se7ara%e in%o%!o #ain grou7s: s#ar% an%enna /ase sys%e#s an s7a%ial #ul%i7le ing /ase #ul%i7le-in7u%#ul%i7le-ou%7u% ?M


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/ase on %'e 7o!er angular s7ec%ru# ?*.& !i%' .& /eing %'e secon #o#en% o+ *.&H19,20I" o veri+y %'e ne!ly evelo7e #o el, !e 'ave calcula%e %'e c'annel ca7aci%yassu#ing %'e narro!/an case an co#7are i% %o e 7eri#en%ally e%er#ine ca7aci%y resul%s!i%' goo agree#en%"

'e #o el can /e use +or /o%' 2 63 an C 63 +re uency /an s, since %'e e 7eri#en%ala%a an 7u/lis'e resul%s +or /o%' /an s !ere use in evelo7ing %'e #o el ?average, ra%'er

%'an +re uency e7en en% #o el " 3o!ever, 7a%' loss #o el is +re uency e7en en%"

'e 7a7er is organi e as +ollo!s"


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Mo el !i%' C0 ns r#s elay s7rea " Mo el E !i%' 100 ns r#s elay s7rea " Mo el > !i%' 1C0 ns r#s elay s7rea "

Mo el #a77ing %o a 7ar%icular environ#en% is 7resen%e in %a/le or eac' o+ %'e#o els i++eren% /reak-7oin% is%anced BP !as c'osen

L(d) = L FS (d) d d BP ?1

!'ere d is %'e %rans#i%-receive se7ara%ion is%ance in #" 'e 7a%' loss #o el 7ara#e%ers aresu##ari e in a/le A0 2 A"C A

a/le


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3. MIM Ma&ri or 'la&ion

We +ollo! %'e M


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[ ] [ ] [ ]{ } [ ]1 B 2 X & & H %x $x !!d = ?

>ollo!ing is an e a#7le o+ 4 4 Mor %'e uni+or#linear array ?)$. %'e co#7le correla%ion coe++icien% a% %'e linear an%enna array is e 7resseas

@?@? * j& * & X+ XX += ?G


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!'ere B2 d * = , an & XX an & X are %'e cross-correla%ion +unc%ions /e%!een %'e real 7ar%s?e ual %o %'e cross-correla%ion +unc%ion /e%!een %'e i#aginary 7ar%s an /e%!een %'e real

7ar% an i#aginary 7ar%, res7ec%ively, !i%'

=

d P,S * * XX & @?@sincos?@?

?9an

=

d P,S * * X+ & @?@sinsin?@?

?10

E 7ressions +or correla%ion coe++icien%s assu#ing uni+or#, %runca%e 6aussian, an %runca%e

$a7lacian *.& s'a7es can /e +oun in H20I" o calcula%e %'e nu#erical values o+ correla%ion#a%rices !e use a Ma%la/ 7rogra# evelo7e an is%ri/u%e /y $" &c'u#ac'er H2AI ?see&ec" "

(e % !e /rie+ly escri/e %'e various s%e7s in our clus%er #o eling a77roac'" We

&%ar% !i%' elay 7ro+iles o+ #o els ->" Manually i en%i+y clus%ers in eac' o+ %'e +ive #o els" E %en clus%ers so %'a% %'ey overla7, e%er#ine %a7 7o!ers ?see .77en i . " .ssu#e *.& s'a7e o+ eac' clus%er an corres7on ing %a7s ?$a7lacian "

.ssign .& %o eac' clus%er an corres7on ing %a7s"

.ssign #ean .o. ?.o %o eac' clus%er an corres7on ing %a7s" .ssu#e an%enna con+igura%ion" alcula%e correla%ion #a%rices +or eac' %a7"


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ra%e o+ ecay an %'e in%ra-clus%er ra%e o+ ecay, res7ec%ively" 'e ra%es o+ %'e clus%er an rayarrivals can /e e%er#ine using e 7onen%ial ra%e la!s

@?1

1@L? =

l l # #

l l e# # p

?12

@?

,11@L? = l l # # l ) )l e p

?1A

!'ere is %'e clus%er arrival ra%e an is %'e ray arrival ra%e"

>or our #o eling 7ur7oses !e are no% using %'e e ua%ions ?11 %'roug' ?1A since %'e elay 7ro+ile c'arac%eris%ics are alrea y 7re e%er#ine /y %'e #o el -> elay 7ro+iles"

4.1 N' (er o) cl's&ers

'e nu#/er o+ clus%ers +oun in i++eren% in oor environ#en%s varies /e%!een 1 an D" igure 1 s'o!s Mo el non-line-o+-sig'% elay 7ro+ile !i%' clus%ers ou%line /y e 7onen%ialecay ?s%raig'% line on a log-scale "


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-50 0 50 100 150 200 250 300 350 4000

5

10

15

20

25

30

Delay in Nanoseconds

R e l a t i v

e d B

>igure 1" Mo el ($ & elay 7ro+ile !i%' clus%er e %ension ?overla77ing clus%ers "

learly, %'ree clus%ers can /e i en%i+ie " >or ($ & Mo els , , , E, an > !e i en%i+ie?assigne 2, 2, A, 4 an clus%ers, res7ec%ively" 'e nu#/er o+ clus%ers in eac' o+ %'e ($ o els -> agrees !ell !i%' %'e resul%s re7or%e in %'e li%era%ure" We recall %'a% %'e #o el .consis%s o+ only one %a7"

(e %, !e e %en eac' clus%er in -> #o els so %'a% %'ey overla7 ?see >ig"1 " We use as%raig'%-line e %ra7ola%ion +unc%ion ?in on %'e +irs% +e! visi/le %a7s o+ eac' clus%er" 'e

7o!ers o+ overla77ing %a7s !ere calcula%e so %'a% %'e %o%al su# o+ %'e 7o!ers o+ overla77ing%a7s corres7on ing %o i++eren% clus%ers e uals %o %'e 7o!ers o+ %'e original -> 7o!er elay

7ro+iles" 'e 7roce ure is escri/e in e%ail in .77en i ."


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L /NL s*read 5ns75NL 7

cl's&ers

A5o*&ional7

$ &B($ & 0B - 0 1 %a7

6 $ &B($ & 0 B - 1C 2

# $ &B($ & 0 B - A0 2

% $ &B($ & A B - C0 AE $ &B($ & B - 100 4

$ &B($ & B - 1C0

a/le


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. $ & co#7onen% %o %'e +irs% %a7 !i%' 7o!er accor ing %o %'e s7eci+ie K -+ac%oran 4Co .o. ?.o "

'e resul%ing 7o!er o+ %'e +irs% %a7 increases ue %o %'e a e $ & co#7onen% ?%'e

7o!er o+ %'e +irs% %a7 s'oul no% /e scale /ack %o #a%c' %'e original ($ & * *s " (o%e %'a% %'e a/ove 7roce ure re uces ?slig'%ly %'e r#s elay s7rea +or %'e $ & c'annels!'en co#7are %o %'e ($ & c'annels"

4.2 PA $a*e

'e angle o+ arrival s%a%is%ics !i%'in a clus%er !ere +oun %o closely #a%c' %'e $a7lacianis%ri/u%ion HC, ,10I

B2

2

1@?

= e p ?14

!'ere is %'e s%an ar evia%ion o+ %'e *.& ?!'ic' corres7on s %o %'e nu#erical value o+.& " 'e $a7lacian is%ri/u%ion is s'o!n in >ig" 2 ?a %y7ical si#ula%e is%ri/u%ion !i%'in aclus%er, !i%' .& F A0 o "

'e $ & co#7onen% o+ %'e +irs% %a7 is a e on %o7 o+ %'e ($ & co#7onen% so %'a% %'e %o%alenergy o+ %'e +irs% %a7 +or %'e $ & c'annels /eco#es 'ig'er %'an %'e value e+ine in %'e

7o!er elay 7ro+iles ?* * in .77en i " 'e 7roce ure can /e escri/e as +ollo!s:

&%ar% !i%' elay 7ro+iles ?($ & as e+ine in %a/les in .77en i " . $ & co#7onen% %o %'e +irs% %a7 !i%' 7o!er accor ing %o %'e s7eci+ie K -+ac%or

an 4Co .o. ?.o " 'e resul%ing 7o!er o+ %'e +irs% %a7 increases ue %o %'e a e $ & co#7onen% ?%'e

7o!er o+ %'e +irs% %a7 s'oul no% /e scale /ack %o #a%c' %'e original ($ & * *s "

(o%e %'a% %'e a/ove 7roce ure re uces ?slig'%ly %'e r#s elay s7rea +or %'e $ & c'annels!'en co#7are %o %'e ($ & c'annels"

>or %'e $ & #o els, %'e $ & co#7onen% o+ %'e +irs% %a7 is a e on %o7 o+ %'e ($ &co#7onen% so %'a% %'e %o%al energy o+ %'e +irs% %a7 +or %'e $ & c'annels /eco#es 'ig'er %'an

%'e value e+ine in %'e 7o!er elay 7ro+iles ?* * in .77en i " 'e 7roce ure can /eescri/e as +ollo!s:

&%ar% !i%' elay 7ro+iles ?($ & as e%er#ine using %'e 7roce ure escri/e in %'issec%ion ?&ec%ion 4 "

. $ & co#7onen% %o %'e +irs% %a7 !i%' 7o!er accor ing %o %'e s7eci+ie K -+ac%oran %'e .o. ?.o e%er#ine +ro# %'e geo#e%ry o+ %'e line +ro# %'e cen%er 7oin% o+& .1 an%enna array %o & .2 an%enna array"

'e resul%ing 7o!er o+ %'e +irs% %a7 increases ue %o %'e a e $ & co#7onen% ?%'e 7o!er o+ %'e +irs% %a7 s'oul no% /e scale /ack %o #a%c' %'e original ($ & 7o!er

elay 7ro+iles "


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(o%e %'a% %'e a/ove 7roce ure re uces ?slig'%ly %'e r#s elay s7rea +or %'e $ & c'annels!'en co#7are %o %'e ($ & c'annels"

'e receive signal a% & .2 consis%s o+ - %i#e- elaye #ul%i7a%' re7licas o+ %'e %rans#i%%esignal" 'ese - %a7s are e+ine /y clus%er 7o!ers an elays as s7eci+ie in %'e 7ar%icularMo el .->"

>igure 2 s'o!s %'e angular 7ara#e%ers use in %'e #o el" 'e +ollo!ing e+ini%ions are use :1

& .1 an%enna array orien%a%ion, e+ine as %'e angle /e%!een %'e /roa si e o+& .1 array an %'e a/solu%e (or%' ?( re+erence irec%ion"

1 .o +or $ & /e%!een & .1 an & .2 !i%' res7ec% %o & .1 /roa si e"

,o*n , .o +or clus%er n !i%' res7ec% %o & .1 /roa si e"2 & .2 an%enna array orien%a%ion, e+ine as %'e angle /e%!een %'e /roa si e o+

& .2 array an %'e a/solu%e (or%' ?( re+erence irec%ion"2 .o. +or $ & /e%!een & .1 an & .2 !i%' res7ec% %o & .2 /roa si e"

,o,n , .o. +or clus%er n !i%' res7ec% %o & .2 /roa si e"

'e angles s'o!n in >igure 2 %'a% are #easure in a clock!ise irec%ion are assu#e %o /enega%ive in value"

?(o%es: $ & 7a%' is +ine o%%e line /e%!een %'e cen%ers o+ %'e an%enna arrays;%'e +igure is only +or illus%ra%ion o+ %'e angular values in %'e #o el"

>igure 2" & . angle 7ara#e%ers


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4.2 PA $a*e

'e angle o+ arrival s%a%is%ics !i%'in a clus%er !ere +oun %o closely #a%c' %'e $a7lacianis%ri/u%ion HC, ,10I

B2

21

@? = e p

?14

!'ere is %'e s%an ar evia%ion o+ %'e *.& ?!'ic' corres7on s %o %'e nu#erical value o+.& " 'e $a7lacian is%ri/u%ion is s'o!n in >ig" A2 ?a %y7ical si#ula%e is%ri/u%ion !i%'in a

clus%er, !i%' .& F A0o

"

>igure 2A2" E a#7le o+ a $a7lacian is%ri/u%ion, .& F A0 o"

4.3 Mean AoA 5Ao%7 o) Eac$ #l's&er


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alcula%e r#s & o+ eac' clus%er, conver% %o values ?10log 10n, !'ere n is r#s elays7rea in nanosecon s "

>or eac' #o el, calcula%e %'e #ean r#s & an corres7on ing s%an ar evia%ion, d? "

e%er#ine %'e #ean clus%er .& in ?10log 10m, !'ere m is .& in egrees 7ro7or%ionally ?linear e7en ence %o %'e #ean clus%er r#s & values using %'e+ollo!ing +or#ula ?%'e resul%ing #ean .& is in %'e 20 o %o 40o range

GG"9A2"0 += *S ,S ??1

'e #o el- e7en en% clus%er & an .& can /e re7resen%e in %'e +ollo!ing +or#

xd *S *S += ? ?1D

/0 ,S ,S += ? ?1G !'ere x an are ero-#ean, uni%-variance 6aussian ran o# varia/les an d an are s%an ar evia%ions, res7ec%ively"

We +ur%'er assu#e %'a% = d , an %'a% %'e correla%ion coe++icien% /e%!een %'e6aussian ran o# varia/les x an is 0"D"

)sing %'e +ollo!ing +or#ula !e can e%er#ine , !i%' x kno!n

1 x / 21 += ?19

!'ere is %'e correla%ion coe++icien% an is an in e7en en% ero-#ean uni%-variance6aussian ran o# varia/le"

'e a/ove 7roce ure resul%s in a lo!er .& +or #o els !i%' lo!er r#s elay s7rea an larger.& +or #o els !i%' larger r#s elay s7rea " 'e resul%ing .& an & a% %'e receive si e ares'o!n in >ig" A4A +or all #o els an clus%ers" >or %'e %rans#i% si e, an in e7en en% se% o+ .&!as genera%e si#ilar %o %'e resul%s in >ig" A ?clus%er .& a% receiver oes no% 'ave %onecessarily #a%c' %'e clus%er .& a% %'e %rans#i%%er " >or %'e #o el . ?1 -?19 !ere no% usesince i% re7resen%s a one-%a7 +la% +a ing #o el !i%' %'e +ollo!ing selec%e values: & F 0,.o. F 4C o, .o F 4C o, an .& F 40 o a% /o%' %rans#i%%er an receiver"

Mo el Mean lus%er & ? &% " ev" lus%er & ?9"D49G 1" GD9

12"ACAC 0"2D D1 "AA92 0" ADA

E 1G"G9G1 0"A00D> 19"11DA 1"12 D


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a/le "

>igure A4A oes no% s'o! %'e #ean & an #ean .& ?a% %'e receiver o+ ?1 " 8a%'er, i%s'o!s %'e values e%er#ine using ?1D an ?1G , so %'e s'o!n 7oin%s !ere s%oc'as%ically

e%er#ine " .no%'er +igure coul /e a e !'ic' s'o!s %'e s%oc'as%ically- e%er#ine .& a% %'e%rans#i%%er, +or eac' clus%erNs & +or all %'e #o els ?.-> " (o%e %'a% %'e #ean & +or %'e%rans#i%%er is assu#e %o /e e ual %o %'e #ean & +or %'e receiver" .lso, %'e #ean .& +or %'e%rans#i%%er is assu#e %o /e e ual %o %'e #ean .& +or %'e receiver"


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%'an %'a% a% esk%o7 'eig'%" >inally, %'e nu#/ers o+ clus%ers seen +ro# ceiling an esk%o7are 1"C an 2"A, res7ec%ively" 'ese nu#/ers #a%c' %'ose s7eci+ie in %'e #o els"

4. .2 Ele,a&ion A

E 7eri#en%ally, i% !as +oun %'a% %'e eleva%ion .& is signi+ican%ly s#aller %'an a i#u%' .&"'is is in%ui%ive since #os% /uil ing i#ensions in a i#u%' are consi era/ly larger %'a% %'ei#ensions in eleva%ion ?/uil ing 'eig'% "


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'e o77ler s7rea d f is e+ine as

o

d f = ?22

!'ere o is %'e environ#en%al s7ee e%er#ine +ro# #easure#en%s %'a% sa%is+y ?21 , an is %'e !aveleng%' e+ine /y

( f

(=

?2A!'ere ( is %'e lig'% s7ee an ( f is %'e carrier +re uency" 'e value +or o is 7ro7osee ual %o 1"2 k#B'" igure 4C" Q ellR s'a7e o77ler 7o!er s7ec%ru#"

#a4 f is %'e #a i#u# +re uency co#7onen% o+ %'e o77ler 7o!er s7ec%ru#"


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>igure C " Measure o77ler 7o!er s7ec%ru# +or a single elay %a7 %oge%'er !i%'

%'e Q ellR s'a7e +i%%ing +unc%ion"


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22

11

1@?

+

+

+

=

2p!)e

2p!)e

d f

f f 3

B

f f

,

f S ?24

!'ere 2p!)e f is e+ine as

1 f 2p!)e = ?2C

!'ere 1 is %'e s7ee o+ a ve'icle in a +ac%ory or ou% oor 'o%-s7o% environ#en%" 'e 7ro7ose value +or 1 is 40 k#B'" 'e s7ike is 7resen% a% 7osi%ive +re uencies only"*ara#e%er , is se% e ual %o 9, sa#e as %'e +or %'e Q ellR s'a7e o77ler s7ec%ru# ?21 " Bre7resen%s %'e ra%io /e%!een %'e s7ike 7eak an %'e #a i#u# o+ %'e ell &'a7e" B 'as /een

e%er#ine suc' %'a% %'e ri77le on %'e narro!/an c'annel res7onses using Mo el > is e ual%o 2-4 " 'e 7ro7ose value +or B is 0"C" 'e rea er s'oul no%e %'a% suc' ri77le e7en son %'e rela%ive 7o!er /e%!een %'e A r %a7 an %'e o%'er %a7s o+ Mo el > +or !'ic' si#7le ells'a7es a77ly" e%er#ines %'e s7ike /an !i %'" 'e /an !i %' is se% e ual %o 2p!)e f !'ere%'e a#7li%u e is 10 /elo! %'e s7ike 7eak" ig" D"


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>igure D" E a#7le Q ellR s'a7e o77ler s7ec%ru# !i%' a o77ler co#7onen% ue %o a#oving ve'icle"

We no%e %'a% %'e o77ler s7ec%ru# can /e %runca%e si#ilarly %o %'e %runca%ion in &ec" 4"D"1

?C %i#es d f " >igure DG s'o!s narro!/an c'annel res7onses using Mo el >" 'e s7ike ue%o a #oving car causes a 2-4 signal varia%ion"


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>igure DG" (arro!/an i#7ulse res7onses o+ a 2 2 M


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!'ere

? g % 'e #o ula%ing +unc%ion

l , 8ela%ive 'ar#onic a#7li%u es

m f 'e #ain . +re uency

l . series o+ i"i" " 7'ase 8VNs S H0,24 % i#e

We 'ave c'osen %o #o el %'e +un a#en%al %one an 2 o 'ar#onics ?100 3 , A00 3 , C003 in %'e Euro7ean case , as %'is see#s %o /e a goo enoug' a77ro i#a%ion o+ %'e #o ula%ingsignal" 'e sugges%e a#7li%u es l , are as +ollo!s:

#oe))icien& al'e =d6>

0 , 0

1 , -1C

2 , -20

'e in%er+erer %o carrier energy ra%io is selec%e using %'e +ollo!ing ran o# varia/le:

2 X = ?2G

!'ere2S ?0"020A,0"010D X 6 ?29

W'erein %'e +irs% +igure is %'e #ean o+ %'e 6aussian, an %'e secon is %'e variance ?%'es%an ar evia%ion s uare " >igureG9 s'o!s %'e > o+ %'e #o ele


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>igure G9" > o+ #o ele


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4.8 An&ennas ?i&$ %i))eren& Polari a&ions

'e cross-7olari a%ion iscri#ina%ion ?T* is e+ine as %'e ra%io o+ %'e #ean 7o!erreceive /y an an%enna !i%' e ual 7olari a%ion orien%a%ion as %'e %rans#i% an%enna %o %'e #ean

7o!er receive /y an an%enna !i%' cross 7olari a%ion orien%a%ion %o %'e %rans#i% an%enna"


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May 2004 doc.: IEEE 802.11-03/940r 43

>igure 910 s'o!s cu#ula%ive is%ri/u%ion +unc%ions ? >s o+ narro!/an ca7aci%y +orMo els .-> inclu ing i"i" " case ?c'annel #a%ri ele#en%s are i"i" ", ero-#ean uni%-varianceco#7le 6aussian ran o# varia/les assu#ing $ F 10 , 2000 c'annel reali a%ions, an 4 4M


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May 2004 doc.: IEEE 802.11-03/940r 43

E 9"A GC> 10"4 9C

i"i" " 10"9 100

a/le


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May 2004 doc.: IEEE 802.11-03/940r 43

A**endi A Po?er roll-o)) *ara e&er e &rac&ion

'e o/=ec%ive o+ %'is .77en i is %o escri/e a #e%'o %o e %en %'e &ingle-


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May 2004 doc.: IEEE 802.11-03/940r 43

&%e7 2: E %en %'e clus%er

>ollo!ing %'e 7o!er roll-o++ la! +oun in &%e7 1, e %en %'e 7o!er roll-o++ a% %a7s s7ace!i%' %'e sa#e se7ara%ion as %'e one %'a% %'e original clus%er 'a " We s%o7 in%ro ucing %'esee %en e %a7s !'en %'eir 7o!er !oul /e lo!er %'an %'e lo!es% allo!a/le %a7 7o!er +or %'a%

7ro+ile" 'e original %a7s re#ain unal%ere an %'e e %ensions are s'o!n !i%' %'in s'a earro!s"

&%e7 A:


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May 2004 doc.: IEEE 802.11-03/940r 43

i 're A1: ri inal odel

i 're A2: &e* 1 5leas& sB'ares )i&7 )or cl's&er 1

.o.2 .o. A.o. 1

.o. 1


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May 2004 doc.: IEEE 802.11-03/940r 43

i 're A3: &e* 2 5&a* e &ension7 )or cl's&er 1

i 're A4: &e* 3 5ener y in&e ra&ion7 )or cl's&er 1

i 're A : &e* 4 5ener y s'(&rac&ion7 )or cl's&er 2

(o% consi ere /ecause lo!er %'an #ini#u#%a7 7o!er

Mini '&a* *o?er

I


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May 2004 doc.: IEEE 802.11-03/940r 43

i 're A;: &e* 1 5leas& sB'ares )i&7 )or cl's&er 2

i 're A


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May 2004 doc.: IEEE 802.11-03/940r 43

i 're A8: &e* 3 5ener y in&e ra&ion7 )or cl's&er 2

i 're A9: &e* 4 5ener y s'(&rac&ion7 )or cl's&er 3

i 're A10: &e* 1 5leas& sB'ares )i&7 )or cl's&er 3

<


38/49

May 2004 doc.: IEEE 802.11-03/940r43A**endi # Model A 5 *&ional Model7

!a*inde 1

E cessdelay=ns>

0

Po?er=d6> 0

.o. AoA=C>

4C

.&?receiver

A=C> 40

.o Ao%=C> 4C

.&?%rans#i%%er

A=C>

40

&u/#ission 7age AG Vinko Erceg, Zyray Wireless; e% al"


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May 2004 doc.: IEEE 802.11-03/940r43A**endi # Model 6

!a*inde 1 2 3 4 ; < 8 9

E cessdelay=ns>

0 10 20 30 40 0 ;0 0 -C"4 -10"G -1 "2 -21"D

.o. AoA=C>

4"A 4"A 4"A 4"A 4"A

.&?receiver

A=C> 14"4 14"4 14"4 14"4 14"4

.o Ao%=C> 22C"1 22C"1 22C"1 22C"1 22C"1

.&?%rans#i%%er

A=C>

14"4 14"4 14"4 14"4 14"4

lus%er 2 Po?er=d6> -A"2 - "A -9"4 -12"C -1C" -1G"D -21"G

.o. AoA=C>

11G"4 11G"4 11G"4 11G"4 11G"4 11G"4 11G"4

.& A=C> 2C"2 2C"2 2C"2 2C"2 2C"2 2C"2 2C"2

.o Ao%=C> 10 "C 10 "C 10 "C 10 "C 10 "C 10 "C 10 "C

.& A=C> 2C"4 2C"4 2C"4 2C"4 2C"4 2C"4 2C"4

&u/#ission 7age A9 Vinko Erceg, Zyray Wireless; e% al"


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May 2004 doc.: IEEE 802.11-03/940r43A**endi # Model #

!a*inde 1 2 3 4 ; < 8 9 10 11 12 13 14

E cessdelay=ns>

0 10 20 30 40 0 ;0


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May 2004 doc.: IEEE 802.11-03/940r43

!a*inde 1 2 3 4 ; < 8 9 10 11 12 13 14 1 1; 1< 18

E cessdelay=ns>

0 10 20 30 40 0 ;0

A20"2 A20"2 A20"2 A20"2 A20"2 A20"2 A20"2

.& A=C> A1"4 A1"4 A1"4 A1"4 A1"4 A1"4 A1"4

.o Ao%=C>

49"A 49"A 49"A 49"A 49"A 49"A 49"A

.& A=C> A2"1 A2"1 A2"1 A2"1 A2"1 A2"1 A2"1

lus%er A Po?er=d6>

-1G"G -2A"2 -2C"2 -2 "D

.o. AoA=C> 2D "1 2D "1 2D "1 2D "1

.& A=C> AD"4 AD"4 AD"4 AD"4

.o Ao%=C>

2DC"9 2DC"9 2DC"9 2DC"9

.& A=C> A "G A "G A "G A "G

&u/#ission 7age 41 Vinko Erceg, Zyray Wireless; e% al"


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May 2004 doc.: IEEE 802.11-03/940r43A**endi # - Model E 51/27

!a*inde 1 2 3 4 ; < 8 9 10 11 12 13 14 1 1; 1< 18

E cessdelay=ns>

0 10 20 30 0 80 110 140 180 230 280 330 380 430 490 ;0 ;40 -2" -A"0 -A"C -A"9 -4"C -C" - "9 -G"2 -9"G -11"D -1A"9 -1 "1 -1G"A -20"C -22"9

.o. AoA=C>

1 A"D 1 A"D 1 A"D 1 A"D 1 A"D 1 A"D 1 A"D 1 A"D 1 A"D 1 A"D 1 A"D 1 A"D 1 A"D 1 A"D 1 A"D

.&?receive

A=C> AC"G AC"G AC"G AC"G AC"G AC"G AC"G AC"G AC"G AC"G AC"G AC"G AC"G AC"G AC"G

.o Ao%=C> 10C" 10C" 10C" 10C" 10C" 10C" 10C" 10C" 10C" 10C" 10C" 10C" 10C" 10C" 10C"

.&?%rans#i%

A=C>

A "1 A "1 A "1 A "1 A "1 A "1 A "1 A "1 A "1 A "1 A "1 A "1 A "1 A "1 A "1

lus%er 2 Po?er=d6> -1"G -A"2 -4"C -C"G -D"1 -9"9 -10"A -14"A -14"D -1G"D -19"9 -22"4

.o. AoA=C>

2C1"G 2C1"G 2C1"G 2C1"G 2C1"G 2C1"G 2C1"G 2C1"G 2C1"G 2C1"G 2C1"G 2C1"G

.& A=C> 41" 41" 41" 41" 41" 41" 41" 41" 41" 41" 41" 41"

.o Ao%=C> 29A"1 29A"1 29A"1 29A"1 29A"1 29A"1 29A"1 29A"1 29A"1 29A"1 29A"1 29A"1

.& A=C> 42"C 42"C 42"C 42"C 42"C 42"C 42"C 42"C 42"C 42"C 42"C 42"C

&u/#ission 7age 42 Vinko Erceg, Zyray Wireless; e% al"


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May 2004 doc.: IEEE 802.11-03/940r43A**endi # - Model E 52/27

lus%er A Po?er=d6> -D"9 -9" -14"2 -1A"G -1G" -1G"1 -22"G

.o. AoA=C> G0"0 G0"0 G0"0 G0"0 G0"0 G0"0 G0"0

.& A=C>

AD"4 AD"4 AD"4 AD"4 AD"4 AD"4 AD"4

.o Ao%=C> 1"9 1"9 1"9 1"9 1"9 1"9 1"9

.& A=C>

AG"0 AG"0 AG"0 AG"0 AG"0 AG"0 AG"0

lus%er 4 Po?er=d6> -20" -20"C -20"D -24"

.o. AoA=C> 1G2"0 1G2"0 1G2"0 1G2"0

.& A=C>

40"A 40"A 40"A 40"A

.o Ao%=C> 2DC"D 2DC"D 2DC"D 2DC"D

.& A=C>

AG"D AG"D AG"D AG"D

&u/#ission 7age 4A Vinko Erceg, Zyray Wireless; e% al"


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May 2004 doc.: IEEE 802.11-03/940r43A**endi # Model 52/27

lus%er 4 Po?er=d6> -G"G -1A"A -1G"D

.o. AoA=C> 2C1"C 2C1"C 2C1"C

.& A=C>

2G" 2G" 2G"

.o Ao%=C> 112"C 112"C 112"C

.& A=C>

2D"2 2D"2 2D"2

lus%er C Po?er=d6> -12"9 -14"2

.o. AoA=C> G"C G"C

.& A=C>

A0"D A0"D

.o Ao%=C> 291"0 291"0

.& A=C>

AA"0 AA"0

lus%er Po?er=d6> -1 "A -21"2

.o. AoA=C> 24 "2 24 "2

.& A=C>

AG"2 AG"2

.o Ao%=C> 2"A 2"A

.& A=C>

AG"0 AG"0

&u/#ission 7age 4C Vinko Erceg, Zyray Wireless; e% al"


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May 2004 doc.: IEEE 802.11-03/940r43

+e)erences

H1I 6"J" >osc'ini an M"J" 6ans, Q n %'e li#i%s o+ !ireless co##unica%ions in a +a ingenviron#en% !'en using #ul%i7le an%ennas,R !$ele22 Pe$2on l omm8n! %!on2, vol" ,

Marc' 199G, 77" A11-AAC"

H2I J" Me /o an *" &c'ra##, Q 'annel #o els +or 3


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May 2004 doc.: IEEE 802.11-03/940r43

H12I *" yri%si an " " o , Q orrela%ion 7ro7er%ies o+ Mis'er, an W" Wies/eck, Q. s%oc'as%ic #ul%i7a%' c'annel #o elinclu ing 7a%' irec%ions +or in oor environ#en%s,R ; Sele %; ,$e 2 omm8n", vol"20, no" , .ug" 2002, 77" 11DG-1192"

H19I J" &al an J"3" Win%ers, QE++ec% o+ +a ing correla%ion on a a7%ive arrays in igi%al#o/ile ra io,R #$ n2; "e.; #e .nol ", vol" 4A, (ov" 1994, 77" 1049-10CD"

H20I $" &c'u#ac'er, "


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May 2004 doc.: IEEE 802.11-03/940r43

H24I "" >re eriksen, an *"E" Mogensen, Q*olari a%ioniversi%y in Mluorescen% lig'% in%erac%ion !i%' 7ersonal co##unica%ionsignals,R #$ n2; on omm8n; , vol" 4A, no" 2BAB4, >e/BMarB.7r 199C"

&u/#ission 7age 4G Vinko Erceg, Zyray Wireless; e% al"


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May 2004 doc.: IEEE 802.11-03/940r43

HAGI )& ensus eauro, Q>luorescen% la#7 /allas%s: >irs% uar%er 200A,R May 200A, anQ>luorescen% la#7 /allas%s: &u##ary 199D,R June 199G, 8e7or% (o" M AACc"

HA9I " $i, M" 3o, V" Erceg, ." Jangann%'a#, (" al, QG02"11n c'annel #o elvali a%ion,R G02"11-0ABG94r1, 11-0A-0G94-01-000n-G02-11n-c'annel-#o el-

vali a%ion"7 +, (ov" 200A"

H40I " $i, J" $ung, " 'eung, " *re%%ie, QEleva%ion e++ec% on M

Documents

11-03-0940-04-000n-tgn-channel-models