!"#$%
&'()*'(,+.-/-1023$'(54 -10/6
798;:=<
>?<@8BAC<#DE9F
GIHJEK8MLONPRQRA
SUTVA
W
8BXKNT
Y
Z
+
[
\^]3_`]!a5bcdcfeghji'kmlonp]!_rqgsmbgtkultaU]3vw]!xygb%e%zb{htk|lj}@]!~#qobgj/klp]!np]!
*s{bgmeci
i
a5ec$_gmqOb{hmhmdxygqljeyeoqgesmqgqg#qwd%esmqphdbb{gmpl
v,b5s%]q*pbbgplj =zb{gmhms¡q¢ewgbl£rgmpsq¤as%]loewgb¥¦§¡¨_ª©
«¬y®
lo§¯}9£rgmdsq¤aOs%]loewgb¥¦C§¡¨°±}@ljce
te²U³ª´,¯¯µu¨§§¶µ¶p¨¶·¯§
ec/³*h¶¸¹±b{]º%e¤]3e]º»
¿jÀ.ÁÂÃÄ Å.ÂÆÈǢɺÊ{ËRÌ.ÍÎ ÎmϤÐoÑ`Ò¥ÓÕÔ$É3Ö1Îm׺ÎÌ/Ì=ØÎ'ÙÔUÚÛÖÝÜ{Ì
Þ Ì/ß%àËá|ÌÖ1á|ÏÉâÚãÓÐoÒäØÎ'ÙÔoÚ{Ö1ÜÌ/åæÖ1ÎmçßÉ3Ö1Î@ËÉâÊËÏ%áÙ1á
Ö1áÙ/Î,Î èà ɺÎmØ%à'é"áÛØ%Ïêá|ÌÙÙÝß%ÖØá|Ö1Ú{ߨ%ÏwÙÝÉ!ëÎÌ'ìRíØÏÉ3Ìïî
ÍÎÖÝÌ/ɺð|αëªß×âÙÝÉ3Í%áÙÝËyàËáÛØØÎ׺Ì'ætáÛØñÎç%ßáÛ×3ɺò'ÎÖÉ3ÌØÎ ÎmÏ%ÎÏ
Ù1ÚyÖ/ÎëÚmðÛÎíó%íôêõÖ/ÚëöÙÝËÎ#Ì1ÉâÊØáÛ×ìyÐUËÎ#Îç%ßáÛ×3ɺò'ÎÖëáé
÷ Î@ÙÝÖ1áÛÉ3ØÎmϤëÚÛÖ1Î¥çßÉ3àÝÜ׺é¡ÉâêªÉâÙ1Ì#Ù/á|ÍÌ#á|Ö1ÎñÍÖ1Îm׺Ú|á|Ï%ÎmÏ
ÔÉâÙÝËÉ3ØÉâÙÝɺáÛ×ðáÛ×!ßÎÌ'ìÐøËɺÌjÍ%á|ÍÎÖøÏ%ÎÌ/à'ÖÉ ÷ ÎÌtá¢ÍÚÔUÎÖoÖ1áî
ÙÉâÚ`á|ÍÍÖ/ÚùÉ3ëáÙÉâÚ{Ø`ëÎ'ÙÝËÚ%Ï¢ÔËɺàËÍÖ1Ú%Ïß%àÎÌpÎmÌïÙÝÉ!ëáÙ/ÎmÌ
êÚÛÖUÙË΢É!ØÉúÙÉâáÛ×%Ù/á|ÍðmáÛ×3ßÎmÌìtóÉ3ëß×âáÙÉâÚ{تÖ1ÎÌ/ß×âÙ1ÌUÏ%ÎmëÚ{Ø{î
ÌÙ1Ö1áÙ/ÎÙËáÙrÙËÎÌÎÎÌÙÝÉ!ëªáÙ1ÎÌá|Ö1ÎÌ1ß{èàÉâÎØuÙ×âéá|à'à ß%Ö1áÙ/Î
Ù1Ú¥àÚ{Ø%Ì1ɺÏ%ÎmÖ/á ÷ ׺éwÖ/ÎmÏß%àÎÙÝËÎ=Îç%ßáÛ×3ɺò'ÎÖÌ.Î'Ù.Ù×3É!ØÊ±ÙÉ3ëÎ|ì
ÐøËÎ#ÍÎmÖ/êÚ{ÖÝëáÛØ%àÎCáÛØ%ÏñàÚ{ëÍ׺ΠùÉúÙé±ÚÛêoÙËÎ=ëÎ'ÙÝËÚ%ÏwɺÌ
àÚëÍ%á|Ö1ÎmÏCÔÉúÙËCÎ ùÉ3ÌïÙÝÉ!ØÊCëªÎ ÙÝËÚ%ÏÌoêÚ{ÖàáÛ×3à ß×âáÙÉ3ØÊªÙÝËÎ
É!ØÉúÙÉâáÛ×Ù/á|ÍðáÛ×!ßÎÌ'æ%áÛØ%Ï=Ì/ËÚÔØÙ/ÚÚuûÎmÖ$á|Ï%ðmáÛØuÙ1áuÊ|ÎÌUêÚÛÖ
ËɺÊ{ËÌ/ÍÎÎÏ,Ìé%ÌïÙ1ÎmëÌì
ÿ
Oþ
!
"#$&%')(*)+,.-./"&0-12"43156789
5:;5=<>?1>5#4@AB=CD"#E/ 714F73DD,GH4"$I
D"J.$>GJ"KLMD3N#$956 4E O"7.A41,.B*C*4".ED
P4Q$RTS VUHWAXZY[L>";DM5\,LD# Z!
DD,L5#K]D^-152I
_D`%'WAacbJ+A;5dZ;-)N,Z"e"E=C)(* S U@*3.9#54 M
N5#7f,15="5V315#K$EGH 4B 1#$ -1,Lg5h56 .41FiD^-.D1#$
%'3.N56.4d+ S UB7.V4D.F6"7j6!k"7.Z""54. .FlD^-.D1#$
"3."D5m=CD71D5,n f";o6!:,.56"5h7."-1F7LI
3.-.DM51,h7.o56 . .F\ o;"31N)D:5V=C"7.D5,
]D;H!c315#KJ"-."156"-.,`"4E SJp ") . A54F6I
"2"7.;/!
q-13r,.56 .F8"7.&N^-156 4_D@"563@56"H"7.& D5>
ED5s"^-156"D]%utXh(.+E54F"2"7.v56,l"7.gN#$-.4C
D5>]^-15NZ%'wxtc(.+\56 F"47. P y=RzS UB7.VtXh(j564I
F"2"7.{ |5=5#$ C0,L-10"O4"A4=G}#E3.-L5="4156
#E3. $~L2>M0.-.i4V"D^-. Nh5j 1Fh56 . .F$I
^-.D1#$E561,hE"045="41&\56 Z756Z"7.;wxt(
54F"2"7. P =RTS
üýü1þÿ
.E$71*,"D,L-1#"7.
56 . .F[D^-.D1#$
.F7e561,`3rD,`-.3`"7.x""54. .F0 oA9/"03." 5,
"7.kW:a?bf"531BGH2"7\ .4956C=56 -.N Sp "=C* ,.D,E"7.|4.4I
" 5:C=56 -.NO56"Z"D5)156. m5##$-1"56MB"7.hN^-156 4_D
5631oGH 4Hrg56 o>;#$*C"FN,n!
"\N^-156 4_N5="4
rF41 P4Q$RTS "7. o3153D0GJ\,LN# r\5g3r=GqD05=I
"4|563.31d~L E56 kE$"7.L,k!
c#D569#$-.95="4.F&7.B .4956
WAa?bs"563]C=56 -.NMLGH7.9#7]715BC";4=G
#$o314~*4> S
0&
ÿ þjlÿoj&rÿþ
üÝþ
ÿ9]qZJ1
UB7.kE)x#$EE14IT-1)N,\ -L"4O!
B7.k .4956
N^-56 4_D"563097.eE4. 0-1oN56m"^-156"OD"
%uXZXh(LbJ+ -L"4 P 6R M P dRTS UB7.]XZXh(LbC=56 -.Do;5d
ü'üý
¼ss³!½½¾C¾C¾y]ºqgc1]ºq]º»
r0!
-.1,Z-) .F`;5="4~Z,LD#E3r2"4ZE$71*,1 P =R M
PNR M@o9\*l#5 #-.95= .Fh7.] C)O14E l"7.
!
"D^-.#$0,L;56 0-141FA3r" *,. #@56 . .Fk)N^-11#D
P =R M P =RTS UB7.o,L "5,.Cd5"56F86!?"7.D0E$"7.L,.&!
|#564I
#$-1 56 .Fk412" 5L"53C=56 -.N c"715="7.N^-.4"H5|#$I
"54s56E-1o6!&#E3.-L5= 56J$¡ S UB7. ;56KD
71DJE7.L,.c-.156)""5#¢ C@!
?7. F7o)3rN,0.>GqKL
GH47£ F7"4ITN>"9#¢"D,s315#K$`,LD 5dLDM@!
`$~.56E3. GH D4NHYUHX S
;¤1¥c ÿ1¦f.
Yv,.5=5j) F568§c%
¨)+]9g""51)E4)"D,
=CDZ5£0-.4I
31567©#756..D&"m"7.iN#$ CD S UB7.i#756..D: oI
3.-.9\"D31O9o#7565#¢"" D,i*n71\;56 m31-. %'#-.)+$M D5,L41F`D#7.*N0%
31N#$-.)"+B56,]!
4=GH .F
D#71Nk%
3r)"#-."+¢M.5B7.=GHe4gac4F SHQS
ü'ü'üý
ª Amplitude
« time
leading echoes
(precursors)
main pulse
(cursor)
following echoes
(postcursors)
¬.®d¯°¢¯²±³=´µdµd¶>·¸º¹H»d¼d·½u¶8¾¶>½u»¿¢µN½z¶0½z³d¿)ÀµN®;¹x´µe»d¼d·½u¶¢Á
»dÂz¶>Ã>¼dÂz½u¿¢Âz½´µdÄ|»6¿¢½'ÅzÃ>¼dÂu½z¿¢Âz½
UB7.&"56E3. D,oN#$D4CD,E) F56L971&#$C -L o6!
71|561E2D,]*0r9BÆVGH47e7185o314N,\#715LI
.Dq E3.-.9)`"D3r1`Ç
È P É +=ÊËËDË$Ê ÉÌrRºÍ 3. -18. Î MJGH71"ZÏ E"7.g .F7j6!A71Z5o314N,s#756..D
o31-. `"D31 S UB7.\5o314N,V"D# CN,V4F156q5=
E8¨/ÈÑÐ*Ò%
GH7.D|Ò
J"7.84""Cd59+$Ó
ÌÖ +
Ø ØÛlÜ
%Q+
ÔÕ È × Ø § Õ Ö É
Õ
ÙÚ
YJ?7.B"D# CNMN7.H,.56"5: ?"56E3. D,561,0315")N,8 5;#$"95=" S UB71|#"D 56J#E3.-L"DB"7.8#$o314~
Ý
'"=$%
&,'()`O (±+.-/-1023$'(54 -10/6
# "D 56 3."L,L-1#¢o6!x"7.]5o314N,l,.5=5hD^-.D1#$
GH47`5k)N,#3*0!"7.HK*.=GHE3.N56.4HD^-.D1#$
!? 1F67gÞ S UB7.8#$"95="B-L"3.-L:56H E8¨@È©ÐLÒ
9 P4QDß=R Ó
à %
¨)+@È à Õ ÈÑáAâNã=ákâNä ã
%y +
Ø Ø
GH7.DÓ á âNã 龯 ç å § Ô ä
+
UB7.kC=54-.ká âDä ã 3."Ù=C* ,LNB56eD) E56k!718#7156.1
"D31qÇ S UB7.q3N56K|C=56 -.J6!L71J#"D 56-L"3.-L
à %
¨ + +B B-)N,O";$~*5#$B!
"5o8*1#7.".9"5= e561,
*0r o .F&!
7.J,.5=5x315#K$ S UB7.J,.5=5H9"7.
315D,| &5&,LD# 4|!
N,L15#KAD^-154 _D@%'WAa?bq+$MN
ac F SyLS UB71]WAa?b715E5V!
N,*!
"GJ5",%'a?a+12";!
.F7\èé5631DM51,`5|!
DD,L5#K]%'a?êH+?14D@6! 1F67
ë5631 S
÷noise
Transmit
symbols
x(t)
øChannel n(t)î
+
ôh(t) î+
ót
òy
1
òy
ñBuffer
k
òy(t) õSampler
öand ADC
íFF filter
ìc
òy ø
Correlator
k
úA
ù
Timing
Extract
ót
1
DFE
Decision
î+
x^k
zk
ïOutput
k
k
k
ðsymbols
FB filter
bk
¬.®d¯.ûN¯[ü·¿DÃTý0Ädþ´®¢Âz´¹
¿ÿÂT´ÄN¿|ÃT³=´µdµN¶)·´µdÄÂz¶>Ã>¶> $¶)Â/À Åz³
¬ U 7.h#014.N,s4E3.-.9gN)3r1]6!|71Z#7156.1
B
51,]acal14H9
% +
ÈjÇ
GH7.D
4,L #D5="Do#$*C -L S UB7.\XZXV(Lb[ -LI
"4\!
B7.8a?al"563B H!"7.|!
" P 6R Ó
Ø
Ú
É ä
%
¨)+/È Ø ×
Ö Ù
Q
È
% Q Ø
Ø
È
Ø
È %1+ É
Ö %TÒV¨)+
+
%TÒ 1+"!
# âÝ È ,.56"5oC=56" 51#$
% +
% +
# Ý È%$'& Ö Ý %
¨)+"!¨
Ý (
GH7.D
% +
È. |3=GJH3N#¢56,.12>
% +
È
$'&
*Ý ),-+
UB7.o)"-1#$-."86!"7.o3L"4-.{N#$ C812"|;5d
71"$!
"iV7.-.F7]6!5]5l;5=#7.D,Ñ12"]GH47
o31-. nN)3r)iÇ ä "% H¨)+`!
4=GJD,ÑÑ5f1$I)9,LD,
%'5Ø 4IT#D56-1"56º+563.3rD,o,L95d|4 ./
.EGH2"70GJ F7"D^-15
P 6RTS
" 10|32`.4kÿ
5o..º¦xÿ
5þsmÿ
ü ,ý
a >"4M@GJe# 52!
n"7.g#71561.B "n.e6!:>Gq
#56DF" DDÓ 4.Iz!ºIT F7A%ut ([email protected] ( S Y
t (
#715..&GH4 x-1-156 m715dC]5,.E456`;56 s31-. !
=GqN,Z*hE3r)"#-.)AN#7.*D S .4956C=54-.N
!
q71:t (`#7156.15&D5 4!
-.,;*E$ .Fk"7.
"$!
"#$|"53g6!?718D^-154 _D % ß +qÈ É ä % ß +$Mr5x)-1F6I
S 7 0#1#"e-.)D4CDBGH47
FN>"D,]*
6:-.N)71 P2QQ$RT8
71OE"`,L: 9;#-.40"5)KV6!B11,.4.Fh4.4956qC=56 -.D|!
5\.LIt (h#71561.?GH7.9#7h715|) F.4#D56:3r=GqD|4
D5,.4.F\D#7.*N0%
31N#$-.)"+ S êq9,L N#¢"4156: oI
"CD" .F`D^-154 _D" P2QdydR E5der-1D,g!
A.LIt (
#[email protected]"7.Dg5,.,m$~*5V#E3. $~L4>Mq51,s)
GH 416xr8#$)9,L"D,O7." S
YxV5-.E3L"4Z6!º"h-)N,Z h,L F4"56c5,L \#715LI
.D&EL,L 4 .F9;"715=`"7.g 1,L C9,L-15:#715..DH"531
56"8 1,LD3D1,LA"51,L 3."*#D")N P ydR M P4QD M ;q7.3 S =RTS
S @ )I
UB7.9/9/569AK*.=GHE5=
< -.#$""95=N,"#56)""4.?F > A
.F0"7.9J5-.E3L"4M4B q3 .4:;56KA504E3. 3r=GqD\5="4£563.31d~L E56 £!
\"7.nXZXh(Lb .2" 5
"53\C=54-.N S UB7.|E$"7.L,O9H4E 5J ])3. "2J;t B
- >
Uc563LDI C/56" 5. &(D3\(* _:tXh(E56 F471 !
/!'5)/!'5,*I
.Fe#756..D P4Q6R N#5-1)or67VE$71*,1:5##$D4D"56
71E#*CDF1#86!@7.)Ea?a£14A5631A715dC* .F`"7.
956"FD)H3=GJ S
E1FHGIKJML,NPOQRL,N1SIKJUT=L,VWJXNYZ,S\[]L^E8__3N*La`[cbdZeSf[]Leg
7 2"7.-LZ Ü:"Û e6!oF156 2>M&GJi$]71n#756..D
Q MGH2"7E7.&)"1FD)3.-.9)x56 É % ß + S
.F7`ÏmÈ y
UB7.Oa?ê[14D86!B71\WAacb}. V#D561#98)(*k,L-.`
!
=GH4.FeD#71NM561,h7.D!
"GJ;,Le.68GB56A
715dCA5\aca12"B5631Br$!
A71A;54\"53]5#¢"4CM
41#;71O$¡D#$!J"7.D;5631#561.60rO#D561# 4N, S
UB7.o3=GJ:"56 OE$"7.L,h53.3."d~* ;5="DB"7.oXhXh(Lb
-L V]-1 .F\5Z4,L4C*9,L-15?"#54 .FO!'5#¢"i
hj5
fN^-5=
% +¢Mq53.3. 4N,"VN5#7f#*R 9`#$ E6!x"7.
;5=#7.D,Z12" S UB7.0~L3N#¢"56 1A!/7.o 1,L C9,L-15
"531k
jml %uÐ.P+ n&56"H563.3."d~L4;56D,*8"7.x;5=#7.D,14I
DECd54-1D É ä "% &Ð.+00-.4Ü 3. 4N,l*5h"#5 5#$1)"56
h Ö Õ !
&Ð;È ß Ê Q Ê y ÊËËDËÊ S UB7.D!
"Ó
h Ö Õ É ä %p&Ð.+
jml u% Ð.+PnAÈ%o
ß
Ðrq ß
Ðrs ß
% +
Y&")-.E .Fn75=;71g41,.4C*9,L-156x#E3r.DE6!kÇ
56"J41,.3r1,LDH%'-.1#"D 56D,0#D5=)""41F+¢M=4 c3r)I
!"#$%
&'()*'(,+.-/-1023$'(54 -10/6
414|"E7.=G7156DÓ
Û
h È
Ú
Q P É p% Q + É
Û
h Ö + È
Q P É %p y + É
SS
S
Û
ÜÚ
h Ö3wyx + È
Q P É p% + É
Ö w È
h 3
Ú
ÛvÚ uXuaudÛ
Ü
Ü
É %p + É ä "% + R
ä %p Q + ÛvÚ uXuaudÛ
Ü
Ü
y
É
É
p% + ä %" + R
ä p% +
ä %"
Ü
+R
% +
b@^-156 Z% +?9@58)L#715>" #H -L E!
71x!
N,*I
!
GB56,;14DH"531 S T!"7.8#71561.9H.LITt (;GH47
4F.4#5B3r=GqD@ O"7.:31N#$-.)"DM6"7.9q9B5#D5&!
C"E5E3.44-,LO56,V31715`,L9>" P2Qd z
M ;q7.3 SþNR
51,f7.ZC=54-.N;6{
! h Ö Õ GH4 xrh5;7.=GHs4jN^-15=I
"4l% +&56r=C S T!710#71561. &.LIt (M..-Lx"7.
;56 £3.-.9)g9;4F.2r#56"4l956"FD0"7156j5m6!&"7.
3."D#-.)"DM7.D\!
-1)"7.x4E3. 4#56 ] B3r"4. Ó
Û
Q
Ú | Q É ä %ß +É %ß +
Ü
Ö
ß
Q
y
h Õ | Ú !
&Ð;È Ê Ê ÊDËËDË¢Ê
% QNß +
UB7.D!
"Mc71\~*3rD#$N,lC=56 -.}jml Ü %uÐ.+Pn\90313)I
"4156r É ä p% &Ð.+?!
HÐ;È ß Ê Q Ê y ÊËËDË¢Ê GH47O7.k#LI
)"56!x3."3r 1544>h58F CDn4"7.\)L#715>" #
-L h6!/D^-156 m% + S UB7.9:#D56Zr o31441D,Z
"7.k3=GJJ5= E563.3."d~L4;56 `!D^-156 n% QNß +/!
"7.i#D5h!05l.LITt (j#715..AGH47©5f,LE 156
;56 ]3.-.9) S
~ FUYJRpIZ_[cgdTN*L"
W:JR
U 7.#D56 !'5#$!
©7.aca
B
F-.3N,O `5E"#56 :!'5#¢"HCD#¢"
2"
"531©5
È P h 3Ö w Ê ËDËË$Ê h Ú ÊËDËË$Ê h w R
% QQ +
UB7.Dk5 y >*3NH6!?#D56 :!'5#¢"HCN#¢"Ó
QS (L#54A!'5#$HCD#$q!
x5Et (e#71561. H
y.S (L#54A!'5#$HCD#$q!
x5o.LIt (\#715..
UB7.8~L5#¢xC=56 -.Nx#7.\!
x7.0"#54A!'5#¢xCN#¢I
" H 51, ;5dEC=56"E 4F7"4;5##$",.4.F88"7.
315)" #-.956HD^-154 _D&#$L1F-."56 ML1-L&#$8#7.)D
"7.8";540#1)"5 S b/~.56E3. D6!"#54@!'5#¢"?CN#¢I
" i51, i!
O56£D^-154 _D;GH2"7 )*2I
315#D,O!
N,*!
"GJ5",O"531H56"AF Cer =GkÓ
t (\#715..
H È P ß.S ß M ß.S ß M ß1S ß M ß.S ß M QS ß M ß.Sy M ß.Sy M ß1S y M ß.SydR
..ITt (O#715..D
P ß.S ß M ß.S ß M ß1S ß M ß.S ß M QS ß M QS M QS M QS M QS =R
(* 0-1 56 sN)-.4"o715dC\7.=GHl"715=E"7.g#D56 O!'5#¢I
"8CD#¢" 51, } 5|49>"D,5=CMF4CoF**,
3r!
";561#H!
J5k"5.FH!,L4¡rDDq"5,L48#756..D S
UB7.;"#54!'5#$|CD#¢"&;5dgro7.-.F7|6!J5i
Ç KA Î .,?Af !
"7.JE56"#7.N,82"H%'Bac4F S + S
È
t
UB7.A3."61 D@715dCxrD`.;56 9)N,;)07156@71A"#54
!'5#$ih Ú #"N)3r,L41FE`"7.o!
"1#k"53h715&5
;56F.2"-1,Lk!-..4> S
F IZ,g?g3JX :ZMP[
8MZ,S\[]L,g
a."D7153.41F1M=GJq.DD,k)"5)?GH2"7o7.B;5=#7.D,
14DgN)3r1%"H¨)+nÈ Ç ä %"H¨)+ S UB7.n#$"95=I
|-L"3.-L1
rhF4CD:D495614oD) ;5=NA6!qÇ ä 3."6I
C* ,.D,k"715=c71q56-.L#$"95="4:!
-11#¢"406!17.q56 LI
.F;)N^-11#:9
5=B O"7.|DF O! "D)H56"-.1,
71O#$D""5?3N56K P4QD6RzS UB7.;1$~*k"5)KZ9|"Z#$95")4!
71\#715..J "Z1`6!H>GJZF"-131Óot (n8.LI
t ( S UB71 q J,L.&*;#5 #-. 56 .F8"7.A3=GJq4\D5#7
;5=#7.D,\14DB"563g#X 9`#$ HCd54-1kGH7."Ó
Ø
Ø
Þ ¡ £
{
È ¢
¢Ý
!
cÈ Q ÊDËËDË$Ê è
% Qdy +
Ø
¤x|"715=B71kCd54-1DJ6!=¢ ¢ Ý 56": EoN,L95=D4\5dCd544I
5614O 1#$;"7.n56";D^-15Z7.Ø O#"D 56A-L31-L
C=56 -.D à Õ M561,Z`"7.oCd54-1Dd
¢ ¢ Ý .DD,g.ArE#564I
#$-1 56D, S W:16o"7.E 5FD):563£%
"$!
"#$"563r+|5
R¥ M.GH7.D Q s¦§s£è S
Ø
¥ Ö + Ø
p =GJB4e D5,.4.FEN#7.*D
Þ ¨«ª"¬R w,®
©
È Øç ¢ ¢ Ý
Ø
Ø
Ù +
Ø
p =GJB4\!
=GH4.FEN#7.*DA
e
w
®
ç
Þ ¯ ¨°¨
È
²
¢
¢Ý
x
*
±
¥
+
Ø
Ø
Ù
T!oÞ ¨:ª"¬X w,® 9eF"D56O715'
Þ ¯ ¨°¨ w,® MA5m.LIt (
*±
#715.. H,LN#¢N, S
³ FiTNJR:L¡Zy´e[cgSIKJiµ ~
W°SDJXNUSDZM_?
UB7.8a?êj14DH"531x7.-.9,e#$*C"F:·¶iÈÇ
GH7.9#7 Z7.s#$C -L
6!;"7.m#715..D0 o31-. "D31)]GH47f7.Za?a2" P ydRTS¸7 ].=G 313)
56 R 9`#$ hE$"7.L,!
V3D)!
E .Fj"7. i#$*C -LI
Ó;3.D45,V71\a?a
140"53lC=56 -.D P +6ÊËDËË$Ê R
56,£7.D"-.j"7.i$e6!0#"D 56O-L"3.-L\C=54-.² N
r ä È P +ä ÊDËËËDÊ ä R %'GH7. #7\ q"7.A"[email protected])4I
;5="D,o#7156.1*4E² 3.-1 BN)3r1BÇc+c5?,.56"5A5E3.4N
71-.F7;"7.|acai2" S UB71&-.3.-LBC=56 -.Dq6!7.Aaca
14DGH 4"7.8r@N>"4;56D6!L"7.qa?êV14D5630#!ºI
#4D P ¹ +=ÊËDËËÊ ¹PºRTS UB7.9q31L#$N,L-."&9JN56 D,;C"
4E3. V*i5=)5#7. .Fe71`C=56 -.D P +ä ÊDËËDËÊ ä R 5=k"7.
!
"q!7.A,.5=58315#KJ56,;-1.. .F8"7.
² "7.-.F7
71Aa?ai14Dq5631 S UB7.D&N>"4;56D@!
q71Aa?êf"531
56"`"7.s-1D,li3.D45,n"7.]acê2"o"53mCN#¢"
¶nÈ P ¹ +dÊËDËËDÊ ¹Pº?R !
"AN^-156 4_N5="4\rF41 S
ýEA¦&.ÿÿ
5þVA¦&.Lÿr¥
,
»x"&GJ& 9>q7.A*-.0rJ6!547.E9#x3r5="41
"D^-. N,nh#D569#$-.95="`"7.O .4956BC=56 -.D8!
7.eaca
"531x. M.GH7.D0è²9B718*-.0rx!/acam"531 S a.
3.-."3rD;!|#E3156"9)M@4O9`5")-1oN,f7156\è 9
D^-15."k7.&4D.F6"7`6!71𑞉.4E3.-.9xN)3r)
Ï S 3r5="4©#-."e56"hF4C!
\7.tDC*41
56,15#KI)-11>"2"-L E7.L,.04 PNR M561,i!
8"7.
a.-."4DOU56>!
o7.L,£ P4QdNRTS £7.Z3r=GJ
¼
'"=$%
&,'()`O (±+.-/-1023$'(54 -10/6
Scale factor vectors for channels with 9 taps (tap 5 = reference tap)
2
1.5
LOS channel
Magnitude
1
reshaping profile: A1
0.5
0
−0.5
−1
0
1
2
3
4
5
(a) LOS channel reshaping profile
6
7
8
Tap number
9
10
6
7
9
10
2
1.5
non−LOS channel
Magnitude
1
reshaping profile: A2
0.5
0
−0.5
−1
0
1
2
3
4
5
(b) non−LOS channel reshaping profile
8
Tap number
¬.®d¯,½N¯O¾¶>½z³=´»Nµd®B»dÂu¿M¾=·¶>½ÿ4¿¢Âz¿9´RÀcÁKÂzÃ:Ãz³=´µdµd¶>·9ÁÄ¿:ÅeÀ
µN¿¢µ¡ÆcÁKÂzÃ:Ãz³=´µdµd¶>·
5="4i563.3."d~L4;56 E$"7.L,Mqè 5,.,L4 1o56"O"$I
^-. N,j"f-. 7.i3r=GqD\ j71i D5,L .Ff51,£!
4I
=GH41FfN#7.*DDM:56,
è -.4 3.4 Dg5VN^-.4"D,Ñ
-.2"4314;N5#7`;5=#7.D,;12"B#$*R 9`#4DJC=56 -.:*E4"
5L#$95=N,8#$1)"56#D56 41Fx!'5#$J%'N)7153. .F&3."64
C=56 -.d+ S a.-.71"oM=71&è 0-12"43. D/;5d8rx4oI
3. 41D,n g)712!º0"F )D"|51,n5,.,LD|"N|N#56-)
"7.o"#548!'5#¢":CD#$" #$1 ):!@#$>56DMrN56
*-.D" S a1 Uc56. g¢MB2e#56£rh£"715=;"7.
3r=GqD05="4i563.3."d~L4;56 nE$71*,mN^-.4"D00-1#7
!
DGqDl56"2"7.E$9#f3r5= h"7156[71s;56"2~} LI
C)
%'tDC*41fE$71*,+¢Mq7.]15#Kl)-.>"2"-L E$"7.L,]561,\718a.-1 HU"51>!
o7.L, S
üýE¤º¦&ÿ
Oþ¸481D'ÿ
Yæ$j!V 1,L*£5,L [#715..D DM <°;q756..D Q > M
#$1 ) .F 6! QNßßß ,L4¡"m#71561.\N56 4_N5= M
GB5;F.D"56D,f-141F3=GJ`,LD 5dm3.1 D;!:>*3.4I
#5 1,L*x#715..D B )N,e p 567.95dC=56 P4QD ?M ;q7.3 S =RTS
<ß;q7156.1 Q >&-1Dg7.m
à4hUD#7..9#5á
;qEE4)D
Ü Gqå D:,LD 5de3."6I
]% à
U ;B1
+ < 1,. 9`#$d
;q7156.1?
ê >r3r=©
1 8%'wxXV(,.95d0)31N5á
, âáã
È Qd6 +¢M67.H3."64
²dä
9x)71=GH\ ga F S 1S
1.2
"Channel 1"
Total Delay Spread = 750ns
RMS Delay Spread Drms = 176ns
1
X 7.L,\!
g
1,L41F;4.4956
563]C=56 -.D
XZ56"2~
*C4
êB5#K
-.1)4-L"4
a1-."4D
U"51)!
"
p =GJBwx5="4
Y&3.3."d~ S
;qE3. $~
è
è
è Ý
Û
Û
è
è
0.6
;qE3. $~
Xg-.4 3. 4N
è Ý
0.8
|H|
ÇÄc
È üÁÉ`
¸
ÊAË,ÌÎÍ¡ÏÐÑXḬ́ÒUÓeÔXÑaË,ÕXḬ́ÓeÖ×zË,ÑaØyÙeÌÎË,ÑXÚ^ÍÓ^Ò¡ÕeÛPÒaÙyÛÕaÍÑÌÎÖeÌÎÍÌÎÕeÛ
Ü ÕyÛÙyÑa×'ÝRÓeË{ÍÏeÑiÞÞ}ÍPÕeÔa×
Y&,.,.
Û
y
è Ý
Û
0.4
è
Û
y
4F Ý è
Û
Q
è Ý y è
Û
y è% Q F Ý è +
è
0.2
0
−100
0
100
200
300
400
500
600
700
800
time (ns)
¬.®d¯æd¯\±³=´µdµN¶)·¸º¹H»d¼d·½z¶?¾¶>½z»6¿¢µd½u¶zçrÂu¿M¾=·¶?ÿ ¿¢Â±³=´µdµN¶)·°
UB7. 5E3.44-,LD6!7. 4,L4C*9,L-15f3156715
w 5d* F7;,L9>" .-L"D,M561,71x3.715)N?-..4!
"o ,. )I
x
" .-LN,8=C P ß Ê y,è + S b@5#7|#756..D95-.ED,kxr
E$IT4*C=56"956?!
c7.x,.-."56 o6!5:35#K Scp 5#K"
!"#$%
&'()*'(,+.-/-1023$'(54 -10/6
!4D.F6"7 y6ßßß 6 p (Kê
*0r9q5x561E2D,`=C
N5#78#715..5=5x"566! y Xg.3 S UB7.56)E4561,
"D# CE14D"56"`^-15Iz"*68wx569D,;q .Z%'wë;B+
14D"\GH47©5m44IT6¡!'5#¢"O! ß.SLS UB7.h"D# CN,
4F156A9\,LN#¢N,j-141Ff5mWAa?bGH47 QN a?a"531
%u)*0r4I)315#$N,1+o561, QDß a?ê 5631DMJ-1) .Fi71htXh(
54F"2"7. !
x""54. .F S UB7.8!
4 =GH .F;!'5):)"5)Iz-.3
3." 5,L .FE$71*,1O56"]-1D,Ós% Q }
+ ;q9,j>56h%
.
3." 5,L .F+A56,f% y + p " 5, p =GJ|wx5="4gYx313.d~*I
;5= l"563mCd54-1D S UB7.\3D)!
;56#$`!H7.]wxt(
54F"2"7.9H569);7.=GHO!
x#$o356" S
UB7.@F"53.7k6!1ac F S 7.=Gx"[email protected]^-15
D"%'Xh(.bq+£5dCD"5FN,=C QDßßß N56 4_N5= m!
<ß;q71561. Q >/5=
ìzZá È y6ß !ë S Y&4HN^-156 4_D03LI
D"56D,V#$"4*-.-14g h""5414.FeEL,Lo!
A7.9k4oI
-.95="4 S UB7.Z,L6N,mC9#56B 41e;5KL7.gE LI
0-. *-.0r6!n2"5= jN^-.4"D, 5#7. C
è ìzjîs ß Ë Q MEGH7.9#7[#$"D3r1,.h5
)*0rED)I
í
"`5="Zr =G QNß Ö ¼ 5=H
ìkZá©È yß !ë`M8%'-1) .F"7.
E$"7.L,j,LD"#$" N,m P2QN=R + S UB7.N)g"D-.4";,LDoLI
)5="V"715=g!
g71 g3569#$-.956g#715..zMA7.l#9,*I
)"5):tXh(eD^-154 _Dx"D^-. N 6 )*0r9B";56 M
GH7. 9>q7.AtXh(EN^-156 4_D/31D45,LN,GH47`7.:3=GJ
5="456313.d~L ;5= sC=56 -.D`N^-14"Do14 )*oI
r9%'GH7.9#7g :5`5dC* .F;6!/5-L 6ß ï g"7. :#5)d+ S
;q D5 M"7. k54 =GxA5\4F.4#5|"D,L-1#$ V4i7
""54. .FmD^-.D1#$g 1F67Ñ51,f56 . .F E S UB7.
wxtc(N^-156 4_D%
.3." 5,L .F+lN^-14"Df.
""54. .F "i"D5#7sí
è ìzj£s ß Ë Q Mq1-L`715E5
!'5q7. F71q#E3.-L5="4156#$>q715;7.AtXh(`D^-152I
_D" S
UB7.eF563.7!&a F S 7.=Gxk"7.g(Lb@w %u)*qD)I
"i"56N"+g!
tXh(}D^-154 _D"VGH2"7}"7.j,L2¡"
3." 5,L .F;#7.DEDx51,eCd5 -H4D.F6"71H!c""5414.F
D^-.D1#$N S UB7.x(Lb@wmN)-1256"qL"54.N,k!
" QNßßß
"-.1|! yßßß )* |N5#7 S ac4F S %'5+A7.=GxA75=k2!
"7.;56 . .Fg)N^-.1#E4D.F6"7£f% ¤H""54+A9kK3L0#LI
)"585#$""x"7.`,L4¡rDDkN^-56 4_DA>*3NM7.;#$ ,
)"5)OtXh(sD^-154 _D;F CD;5nC"l3r\(Lbqw S UB7.
3r!
";561#&6!"7.|tXh(h% p =GJ@wx56 Y&3.3."d~* ;5=I
"4+@54F"2"7. 9J#$ /"8"715=J6!wxtc(EGH7.O-1) .F
"7."56E8 .F7]""54. .FOD^-.D1#$ S a F S %'+x7.=Gx
"715=o4",LDkV5#7. C`) E4956(.b@w3r!
"E51#$
"owxtc(M*71AtXh(;N^-56 4_D@"D^-. :4.FD@""5414.F
D^-.D1#$N S T\9O7.=GHs75=O3." 5,L .Fn7.itXh(
N^-56 4_DkGH47n3=GJ|5="4g56313.d~L ;5= h"53VC=564I
-.N`5#714DCDoFL,f3D)!
;51#$]GH47j5nN515. .F7e56 . .F;)N^-.1# S
ü ümý;AOþD
Oþ
7 715dCj,LN# N,5 ) E3.4M`3r=GqD"56 53LI
3."d~L4;56 £E$71*,s!
;11,.4.Fl7.Z .4956:Cd54-1D
!
o31D45,L .Fn5VWAa?b S (* 0-.95="41E)71=G 7156"7.
E$"7.L,l56 =Gx856ltXh(nD^-154 _DkhF C`FL,nD)I
"V"56l3r!
";561#M8GH7. 9>i3r5= .FjGH47) F6I
.4#D56 s7.)";""54. .FlD^-.D1#$N`561,s""5414.F
"4ED S UB7.; =G[#E3.-L5= 56?N^-.4"EDk;56KD
"7.|3=GJJ"56 o53.3."d~L4;5="4;E$71*,e-.256. :!
é
-1O m7. F7l3rD,mGH4" D"81$>GJ"K*0)-1#7f585,.4
YUHX S
ü'ü'üýð5?ñpþ32`..¦:þÿ
UB7.j1>m5-L71l9F5="$!
-.`!
1561# 5O)-13LI
3r!
í;J50."9,LF8
;qoEGJD52"7kU"-1)561,:"7.
@ 14C)4>l61
! ;J563rgU=GH
%u(*-L7jYH!
"9#5+$Mq51,l!
-.3.3r\561,s!'5#$ 44 D`3.=C*9,LD,s*f7. C$
ò
5#$ kwHDD5"#7et5"56"g% wxtc+ S
4 .*.þ
8
ó °õô÷öJ¯r¾¯øc´Âz´pù´µ=´µ\´µdÄrÁr¯?úd¯±¹Hµd9Áû\?üD¼d´·Îý)¶>Âx´Ä=´»aÆ
ÅT´"Åu¿¢µe´·®¢¿¢Âu Åz³N¹H½Jÿ ¿¢ÂH³N®¢³¡ºÆ ½z»6¶>¶>ÄOÀÂu¶)·¶>½u½BÃ>¿¢¹H¹J¼dµdÃ)´Æ
Åz¿¢µd½)Á Ñ
þ µ ÿ Å ÄÃ
Å ÿ ÿ Á
»d»¯"!#N°%$!#&NÁ6¸c?3
Á*°''!N¯
ó ûô÷=ú ¯)(q¯y
ç Âz¿$´ý½Á+* ,- ÂÄ -./. " ÅfÄ 0 Á ¯21|Ã(cÂT´>ÀB4Æ 3··9Á
° ''&N¯
ü ¯e?´µd¶>½z³NÂT´ÄÁ3û\dzd¶53¸cç?¾BÁÉÈ'øh¶pü¼=´·Îý>¶>Â'Èzø'±gÃ>¿¢¹/Æ
c
»d·¶6N Åcù$Á þ87 à ÁfÁ:9 ÃïÁ Ä .;. " ÅfÄ < Á ÁW$¿¢·9¯A½NÁ
µd¿d¯ædÁ=»N»¯æ$ûN°%$Xæ$û-=DÁL°''!N¯
ó æMô÷ú=á
¯ ÃN´Î· ý¢Á ûõÂc»NÅz¹q¼d¹ ¹H¶)´¡µ ƺf½ üD¼=´Âu¶lÄd¶>Ã)½u¿¢µ ÿ ¶>¶>Ä Å=´ÃTý
¶pü¼=´·Î ý)´"Åu¿¢µÁ þ?> @BADCÁf . Å " ÅfÄFE mÃ Ä KÁ $¿¢·9G¯ &¢ûNÁ
»d»¯p° ½Mæd%° $6p° ½-=M½NÁ ÂcÃÅuP¿ Ŷ>Â/° '-=M½N¯
ó &ô÷ú=¡¯ ¯ ÃD¹H¶>¶´µdi
Ä ø@¯d±?¯dü¶)´¼d·¶>¼KÁ ûõÂcµ&Åz³d¶"¶ ü¼d ¢´·¶>µdÃ>¶/¿ÿ
Åz³d¶c½z¹J¼N· ÅT´µd¶>¿¢¼d½´µNÄA½z¶>»=´Âz´"Åz
¶ 1H11Ãa;¿¢»NÅu¹HÎ ý´"Åu¿¢µd½¿ÿ
´ cK¬ 8¬.¬.¬|´µdÄ@¬1ü¬Á þIKJLJMJ uÃÄ Á NL./. D MÁ $¿¢·9¯ æ-&NÁ
»d»¯° &!$6° &#NÁ6¬="¶ ÅdÂu¼=´f ù8° ''-=D¯
ó !ô ç1
¯ öJ?¯ ÃD³¼dý·þ´8´µd·
Ä Ár¯.¬K¯ ÇL¼dÂzµN¶)Â)z
Á û±³=´µNµd¶>· ƺ¶>½uÅu¹x´"Åz¿¢¡µ Æ
Å=´½z¶>Ä;´Ä=´»DÅz $¶cK¬ hÿ4¿¢Â/ÿ9´ÄdµN®|¹J¼d· Åu»=´"Åu³oÂz´Äd¿|ÃT³=´aµ Æ
µd¶>·½Á þ2IOJMJ 9à Š%P-@, ÁQ ITPÁ $¿¢·9¯dp° ½#NÁ$»d»¯ &¢û &$&MæR½NaÁ c¶>Ã>¶)/
¹ Æ
Ŷ>° ''N°¢¯
ó =*ô÷ø@/
¯ È· Æc³=´³NÂ\´µNÄ údR
¯ 1o¯&±T¿ S|r
Á ûz¬6´½'Å]Ã>¿¢¹H»d¼NÅz´"Åu¿¢µ
¿ÿ|ÃT³=´µNµd¶>· ƺ¶>½uÅu¹x´"ÅzH
¶ Åd´½z¶>Älp¶ ü¼=´·Î ý>¶>Âz½;µl»=´ÃTý¢¶ÅOÄ=´"Åz´
ÅzÂz´µd½z¹H½u½z¿¢µÁ þ/IOJMJMJ uÃÄ Á A ,- ÄD9à ŠÁfÁ @, Á $¿¢·9¯ æR½NÁ
»d»¯=Mû æ-!¢û $DMû æU=M½NÁ ø*¿ $¶>
¹ Å6¶>° ''&N¯
ó #ô Ã)¯ V@D¯ 3@+¯ Wc¼dÂu¶>½z³d93
Á ûz¬6´½uÅ?½uÅz´Âu]Šƺ¼d»8"¶ üD¼=´·Î ý)´"Åu¿¢µkÀ Åu³8»6"¶ Æ
Âz¿ÄdÃAÅuÂT´µdµd®;½u"¶ üD¼d¶>µdÃ>¶>½Á þXIKJLJMJ uÃÄ Á I Y à . Ä' <
% ÃC
Á $¿¢·9¯dPû ½NÁ=»d»¯ &&P½$&!P½NÁ ÃD¶>»NÅu¶)8
¹ Å6¶)Â/° '-==D¯
ó 'ô ç1¯1¾¯±³dõ¶ N··þ´"Å)
Á @B¯ 1o¯ 1k´ À´·ÄÁ´µd
Ä (qL¯ VµN®¢¶)f Å6¿D¶>ÃTý6Á
ûT¾´»dÄ\ÅzÂz´µdµd®E¿ÿJ^
´ $¿¢Ã>"¶ Å=´µdÄZÄ=´"Åz´ ƺ¹H¿DÄN¶)¹[Âz¶>Ã>¶> $¶)Â
¶)¹H»N·*¿ ùDµd®B´µ&"¶ üD¼=´·Î ý>¶>ÂÀ Åu³xÿ Âz´Ã>Åu¿¢µ=´· ÆcÇe½z»=´Ã>¶>ÄAÃ>¿Y¶ SÆ
Ã)¶>µ$Åz½)Á þZIOJMJMJ |ÃÄ Á [-./. D ÉÁ $¿¢·9ɯ ½&NÁL»d»+¯ #!'$#-=T!NÁ
ÃD¶>»NÅz¶>8
¹ Ŷ>Â/° '#-=D¯
ó ° \ô:(q¯ 5] ÈcÂzþ´NÁ¾p¯ çr¶>Âz¹x´Âuµd9Á)´µd[
Ä ^J¯ _6µd®$´Âz¶>··9Á ûz¬6´½uÅ.´Ä=´a» Æ
Åz $¶B"¶ ü¼=´·Î ý>¶>Âz½?ÿ4¿¢Âµ=´ÂzÂu¿B
À ÆcÅ=´µd1
Ä Ç©1UȹHP¿ Åd·¶@ÂT´ÄN¿dÁ þ
IKJLJMJ |ÃÄ Á ÿ Å ÄÃ[
Å p
Á $¿¢·9"¯ æ-\NÁ»d»¯ ½'¢û $Xæ-\MædÁ 1kp´ ù
° ''N°¢¯
ó °¢õ° ôUÃ`¯ V@D¯ 3/D¯ Wc¼dÂu¶)½u³d9?
Á û\ÈcÄd´»NÅz $¶@"¶ üD¼d´·Î ý´"Åu¿¢µÁ þaIKJLJMJ 9à Q
Å %%P@, Á Á=»N»¯p
° ½Mæ-'$6p° ½#-=DÁ ÃD¶>»° '#&N¯
ó °)û ôUÃɯ ÈÂz ùp´ D½z Åz´ý¼d·9
Á û\ÈfÄN¶)Ã>½u¿¢µÿ4¶)¶>Ä Åd´ÃTý"¶ ü¼=´·Î ý>¶>ÂqÀ Åz³
Åz¹Hõ¶ ƺÂu"¶ $¶>Âu½T´·c½'ÅzÂu¼dÃÅz¼NÂz¶¢Á þbIOJMJLJ E mà ÄA Å/ ¿pà ÄÁ
Á $¿¢·9¯° \NÁ=»d»`¯ &''$!Np° ½NeÁ È»d° ''¢ûN¯
L./. D
ó p° ½ôiöJP¯ ç1´³d·þp´ ´µ:´µN=
Ä Èq-¯ 3/R¯ Á*õ¶ $¶)f½ üD¼N¶$FÁ 7 Ã ÁÁ I Y Ã . Ä'Â <
c Â<d ÃeÁ 3
¯ ú¢¿¢³dg
µ fe·õ¶ ù$eÁ ø¶>i
À hr¿¢ÂuýÁ*° ''&N¯
ó "° æMôgfVR¯ ÁrM¯ Á*¼Á û\ç.¶>Âuÿ4¿¢Âz¹x´µdÃ>¶¿Uÿ ju¿¢µ$ÅrÄd´"ÅT´/´µdÄHÃT³d´µdµd¶>·6¶)½'Åz Æ
¹x´"Åz¿¢µ\¼d½zµd®ÅT´H
» ´ÂzþM´ Åd·¶k½'Åz¶>¡» ƺ½uÎ ý>r
¶ ¿:Çk^kÃáÀÁN11Ã;ÿ ¿¢Â
¹J¼d· Åu»=´"Åu³hÿ ´½uÅ8ÿ ´Ädµd®]ÃT³d´µdµd¶>·9Á þn8
µ lMmonM>FJ nMp q
A{Ä ar ÃÄ Å ÁïÅ s2 ¿ ÿ Á=»d»
¯ '-=M½$'-=T#NÁ6c¸ 33Á*° ''Mæd¯
ó ° &ôÈq¯ ç1¯L±·þ´ÂuýNÁ Jot Ä u ÃïÁ Y à * ,- ÂÄ p P-. Á ë
¯ ç.¶>µÅu¶>ÃT³Á
° '#&N¯
ó ° !ôAüc
¯ ç.
¯ ç.¿¢»6*¿ Dâr
Á û±·þ´½z½;¿U
ÿ Ådµ=´f ùl½u"¶ üD¼d¶>µdÃ>¶>½`ÿ ¿¢Â;¹HM¿ Æ
Åd·¶AÃT³d´µdµd¶>·c¶>½uÅu¹x´"Åu¿¢µÁ þvJ Å/Â!à " Å/Á m  ÃïÁ 3
Á $¿¢·93¯ ½N°¢Á
»d»"¯ 'MæPæs$'Mæ-&NyÁ ú¢¼dµN¶x° ''&N¯
ó ° =*ôa3@'
¯ ÃN´Âz9
Á ûõÃD¹H»N· ¾=¶>ÄV´·®¢¿¢Âu Åz³N¹H½Aÿ ¿¢Â8´Äd´»NÅz $¶;Ãz³=´µdµd¶>·
p¶ ü¼=´·Î ý)´"Åu¿¢µÁ þ 9 w ÁXE Ã Ä Kvxy Á ÄÃÅ i
Á $¿¢·9/
¯ ½-=DÁ
»d»"¯ &!$==DyÁ ú$´`µ z"¬="¶ Åo° '#¢ûN¯
ó ° #ô|±?¯ ÇL¶>··þ´
¹ Åd¼dÂz´NÁ hqP¯ úd-¯ (c¼N¿dÁ´µd=
Ä ÃM¯ öJ¯¢ü´Â'Åz¿¢µeÁ û\3ü¼=´·Î ý>¶)Â
»¶>Â'ÿ ¿¢Âu¹x´µdÃ>¶.ÿ4¿¢N 3c¸ ç3B
¾ ÁÉÈAøoµµdÄd¿¿¢Â*ÃT³=´µNµd¶>·½Á þZ7 à Q
ÁÁ[9 ÃïÁ Ä .;. " ÅfÄ < Á Á $¿¢·9¯ ½NÁµd¿d¯ ædÁ»d»¯ ½'-=$
æ-\'NÁ*° ''!N¯
ó ½ô
{
'"=$%
&,'()`O (±+.-/-1023$'(54 -10/6
Mean Square Error (averaged over 1000 runs) at SNR = 20dB
1
0.5
Log MSE
0
LMS (Cold Start)
−0.5
−1
LMS (Power Ratio)
−1.5
RLS
36
−2
0
96
100
346
200
300
400
500
Iteration n
600
700
800
900
1000
¬.®d¯"&N¯\±¿¢µX$¶>Âu®¢¶)µNÃ)¶@¿ÿ11Ãa;ÿ4¿¢Âc±³=´µNµd¶>·°
(a) Constant length training sequences
(b) Different length training sequences
1
1
........ LMS (Cold start)
0
− − − RLS
0
[Ntrain = 64]
−1
−2
−2
−3
−4
−5
−5
−6
−6
10
15
SNR (dB)
20
[Ntrain = 40]
−3
−4
−7
[Ntrain = 350]
____ LMS (Power Ratio) [Ntrain = 100]
− − − RLS
−1
Log SER
Log SER
........ LMS (Cold start)
[Ntrain = 64]
____ LMS (Power Ratio) [Ntrain = 64]
−7
10
15
SNR (dB)
¬.®d¯`!N¯ÃXùD¹Å6¿¢·rÂzÂu¿¢Â¾´"Åu¶>½ÿ4¿¢Â¢´Âz¿¢¼N½ÅuÂT´µNµd®B½z¶"ü¼d¶>µdÃ>¶/·¶)µN®Åz³d½W¿ øÅzÂz´µeÀ
20
© Copyright 2025 Paperzz