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Etude et amélioration d'une technique de réception numérique itérative : turbo-égalisation

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(1)Etude et amélioration d’une technique de réception numérique itérative : turbo-égalisation Charlotte Langlais. To cite this version: Charlotte Langlais. Etude et amélioration d’une technique de réception numérique itérative : turboégalisation. Traitement du signal et de l’image [eess.SP]. INSA de Rennes, 2002. Français. �tel00008945�. HAL Id: tel-00008945 https://tel.archives-ouvertes.fr/tel-00008945 Submitted on 4 Apr 2005. HAL is a multi-disciplinary open access archive for the deposit and dissemination of scientific research documents, whether they are published or not. The documents may come from teaching and research institutions in France or abroad, or from public or private research centers.. L’archive ouverte pluridisciplinaire HAL, est destinée au dépôt et à la diffusion de documents scientifiques de niveau recherche, publiés ou non, émanant des établissements d’enseignement et de recherche français ou étrangers, des laboratoires publics ou privés..

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(419) 

(420) D E9<   g0m )  Û2ס #( Ej  Ò ]Ä €“ 5 Ûj”Û*   9< =,†f 5  '5.'GH 0 = Ò Ø Ø €“ 6jE $

(421)  -+S

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(424)  VRÏ/*Û. Ø % + /603$

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(426)  VXR /Û*   G¯¡   00 E,+G60%

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(428) R ’`,)60 %

(429) 0  2  K–,Q$  #$

(430) ) . Ø nå + /603$

(431)   g@f>QO7. Ø ('FØ +S  6 e6’†b  )D–DQ$ #$

(432) E45) '+w.  6 ). Ø þ !Ä +-$ '6ãTX ˆ 0 )> ./V. =45)  9< g† /

(433) :$

(434)  ؟Ä

(435) + q\ P9 ! 6 u<=( 5 DlZ % Ø " +-$ '6 WYb#( E 'H603( <9.  Ø ¸ ~ /

(436) )> !  Q(0r0m  =45)  <ch.

(437) D %7 E/  K+G60%

(438) 60 .

(439) àŠ å Ä å ×@ ÛD9)/7 %7,@b <9 =  6! FÒ |N*G 7 €“)660E/  6 ) 00. FÒ  |N*G 7 €“)660E  6 ) 00 m&  6 . FÒwÒ |N*G   7 €“)660E  6) 00 €“ 6u6 6 .  þ Ä |r =<)

(440)  %7 Tj wO\ P45Q*.  Ä

(441) |,(6G  / ]9 ! Q(0eXl 6 %  Ä Ò

(442) |,(6G  / P9 ! Q(0/) 2€“ 5 Ûj”Û*   <9 =À  ,lX6 % Ä 9*=45)  <9 p’`26)  5

(443) E

(444) #(!. ! Ä  . 0jr` (

(445) %7 D

(446) ¸ =< E/  -0m Û äHQO<#ˆi† 45Q(0  Û Û ! Ä å .  D@* /

(447) %

(448)  6  6! Ø ¡" Y 2

(449) D %7 E  -+S60%

(450) 60 `"<9< =

(451)  %0 1 %

(452) ¡&({  ’b†   ) 

(453) 2lZ  Q(  = % Ø % ¡r)HG:+/603$

(454)  VRX/*Û   G¡¯  00 E 2354 Û F)m 

(455) <  6!. óõ/.,ðrñdó.

(456) 6(7. 9. àw‹. ²9³f²Lº 786 ¸. ã§Â :ëÀ :. ; oÂqB´o<ps­wb³ ¼2u ´&s­´&³0²·wb³. HQ( S ! Q(0r*) E HQ( 660 *H6 % D\.'H 0 * ! gQ "H6 % 2

(457) 0 :v  p  6j :$

(458)  8y * ! gQ N/.'H 0 ] 603$

(459)   245Q #$

(460) E45  w.  6 0  6!  W<  5 #(  5 S< g<=( Q(0 'H p* M$ # ]03e 603$

(461)    %

(462) *g =<c #(0 ]66 E

(463) #( < g  03$

(464) *Û#(0 SH)6 % 'H WH6 % #"Q 2/.'H 0 ] 603$

(465)     5 G< W<=( Q(0  * g/.'H 0 !5(  -(6 /

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(467)  M(H60 ] (66  6! j  <c

(468)   5 03O<   5 j‰O<c   'H8* iu60%  S< q  92) *0 7q* 7  3( < =N/.'H 0 = W 603$

(469)  7  3( < iH 6 % D< )60  ]H603( <  %

(470) j&!5(

(471)   :$  E< W<= * g  5

(472) %

(473) *. 0 D B 0

(474) T. Û Bd G. Ds . Ä  E  Eb ) Û * G D Y/  Es ) Û * $  ) Y  ). J Û  ) ) )T 9   p 9/ D. K  T. Y/  M ) ) 2 G  . 9 Y ) N0 . * G D K/ q ) ) 2. R  0 Y T 9/ D. G. Ts  ) Û. G *. α r . )T  Û Û 9. β G T Y/  χ. D. µ    9 K. Π E  )À 2  Û D  D 9 ρ 9 p. G r Y/  σd2 * 9 p ) 9. /. $) σb2 *  9 *  Û . I |˜tvuGovu ´tr¶p³>=. ovuGm ²·Ô•oXu´?¸¼pwb³. <=(03( 7 =<c  7 =<c  " #(  q* :$  E< Q /

(475) * 00 Q /

(476) g :(!  Q( =8* #( < g:$

(477) >6*:$

(478) E45 W03'7* 3(H60 (0*w$  . . s   ) v   )  G vT  9. M.  Û D.  x <(x) * D  D  x =(x) *. ) D. E[x] Û 9. x.

(479) à=¤. @BA. íîAí"õ AC@ ó.

(480) à. D. eýE:âÁ Žþ¨ : . ¡¯ 0 =fYO  )

(481)  <03OŠ  E45) =B/ % #Z$

(482) Yq6>6*Û E45) =B9 Bp

(483) 0 E  5 d45) ¤ GF} 20 p* ) Û! ,45Bp 0E <9 7)K  5 (0 

(484)  45) GFä7  5© 660E/*=©  ¢6)  GG Û/ V7 =<G0 =F!5( *= ) 0E©p*=<#>Q(  G Y  5 =?fjT i)   < G S

(485) ) GH  9<   =G 0 ¨(0 

(486) FK0 p

(487) 0 E#$

(488) “ p6) GQ*/

(489)  S<9    S* ) Û! . !5O/6 00Û* G ) ¸  6) ÛD(GY O ) 260À  g66 E

(490) 

(491) ( 9< ?

(492) ]( 20 D :( )  =,9< )'6 6 E<=$

(493)   96)à Û* ½½ E45ø ) =A9< ")   < G 2,*

(494) *2(660 E456*"G ) A03,)  ) Û_  "Ej  Ef('9< / =f9<   =<c ) 

(495) b  Û  ) 

(496) ? †A BL6) '*=456 G ? p =<#)> Û

(497) <#)> ')H  =/  E  l 0 ’† 9< 0 $

(498)  Q(0 )968Û*  )  l =P¡"*0*=9< l  '6 6 E<=$

(499)  v  DÏl   M(!) )v‰† ¡¨Xl   M(!) $y ) *=àK7J  5 D0 

(500) v  ,03g9<  6j”Û*   9< P€/RNR 6 :) 7 w( ‚.G ¸ D9< / =Z9<   =<c ) 

(501) N(6G 0*2

(502) ) GH $“9< / =I H ?€“0E G ÛK    5v C(6)  <#)> Ûd03W0 ) % ,uÛ*. Q* 29>Q( 6)  SG ) r ="9< / =N(0*w$   =?Q@A* ) L d0 ="9< / ="9<  6 9,g0 p*G 45) W 0E"   5 N0 = )  ) Û

(503) W:Û   b(6)  <#)> ہ( ) _=! ? Lû0 p*) E  IBJ0 '

(504) ) GH $“9< / Y =\ ]HQO*h) P03 9<  <=$

(505) 9*  Q$

(506)   ©  9< / ) 

(507) ?  <=( Q(0d*Q* *='Q* 6ÿ  5  03O9< ) ? LÂ03h *=9< 

(508)  •0 ©*=9< /(!. 

(509) :(0&456 A9<  / E/ Û#( % gI  *=9< / ÛP!0 HQ(0 Y  5 ]0 '9< / e9<  <=$

(510) * 6?* =/ P  *w(0 E#(H60 h<=* DH6   F9< )60 / ?RD?qXl Û  Y  `?9aD037 l  5U   <")  G q*26K *=9< /(! À !  Q(0QHQO*2) A0. *=9< /(! W*Q* 2 *  ]<#>QO45) g9< / ]9<  /

(511) %

(512) Q( 5À  "03 #( /F E h p6) ]  6Ej :$

(513)  IBQ(6G 0Û*.  6Ej :$

(514) l 9   _=45) .B p6Y *=9< / ) ZD0 C(  ?5`2   60 p  6Ej :$

(515)  ))  /6 % 2Q* A6Y *=9< $  ) b =\Ï *

(516) 0 E/Û* 2Q* f0 À*=9< / ) /6 %7( 5 =?9m&  Q(0 Y  5 0 " ÛY M2

(517) ) GH N') 29 C(660 E45) ,QO   =<c Y   5 ](-9< / :( E260

(518) ^O ]h03h =<#>6 6 E45) p p*=9< /(! 66 E

(519) 45) 0 p*=9< / ) T*

(520) 0 E . 0 =Z7 /

(521) =dG 0 Û* Û* =d9< )K 2  6Ej :$

(522)  bšD›QœMkžOœM W0 p %

(523) Û* #$

(524)  S/6 %7( 5 ?QXR ,)   < G  G q . /) X :9<  9<  #Z )G / M( 5 #2£903WEj  <c

(525) ë   5  03O9< Y  5 " %

(526) 6Û* ¸  5  ,0 =X  K *=9< / ) 

(527) .  N0 g<=* #O<c

(528) Û_  gG 0 Û*  *  W0 p  6Ej :$

(529)  G456 r< 

(530) <60 2  5  g0 =r *=9< / ) 

(531) ? T Z<=( Q(0e60%

(532) % #$4[  A9 C(6Q*   5 2N6 '9< / d9<  57 0

(533) Gj  X 0  Y  5 à  ) *=   5 M(H60 "   j 032Ej Y vp6    00 E?qTÀ * =<c

(534) l 

(535) :(0 BO  0  '0 "9<  %

(536) Û_  ve:$ '6  /7 #( E  'H603( 9< B  =N\.eGH 0 ="!* 6Û* *=NQ* N0 W<=( Q(0XG  2˜  *w(0 EÛ* ''0 C(  D ]0 C(0!  %

(537) >6K  D PYD % ÛH6 /)  9< h   00 E?&{2) F*=456 G I )0 ’† ¡ûX l   M(!) ë  :* 

(538) 456*:45) :9< K* =<c ) G  g*!5(0 K  5 ˜  e7 9< )Y e6) ))H  E45) Yp6 b)  9< =

(539) ] %

(540) Û* #$

(541) j"J 456 f9< )G / Û#( % e(0 

(542) ]6e * =<c ) D  6ñ *=9< / ) ?ZÏR   n =<#>6 6 E45) BA) *=   5

(543) Û* h( $ HL B =\ :(6G 0Û* n

(544) ) GH $à* =<c

(545)  IB :( Ep 00. (6Q* #  O ,O   ]  7  5 N  Z0 P)   D

(546) ) GH $*!5(0 E

(547) $

(548)  G66 E

(549) 45) P0 =d/.'GH 0 =d)  /6 % #dQ*  0 ¸* =<c ) X 5 Z*

(550) *P(‘ #( <#>6 EX  ,0 ’€“ 5 Ûj”Û*   9< ="†f 5  W5.'GH 0 =Dv‰€‚†Z6yM?ÏR FY r( Z0 D<=O   *=9< /(! Bf9<    =<#>6 6 E45) nG ÛY l  ©*=  0   i0 :)  H60_Y { #( % Y  5l 

(551) :(X0  *=9< 

(552)  I?6†fI ‘  =B0 2 #( % Y  5 "!0 HQ(0  D0 ’€‚†ZY  © *=9< /(! ]HQO/*P) Z6) , =<#>6 6 E45) . M:6G  Û7k   00 EP NBI456·  ) *=7  5 Û#( % 03 9<  <=$

(553) * Q$

(554) ÿ 9< / ) 2 h<=( Q(·0 2 b<=( Q(0kBB =\ !* 6Û* #(0 Y  5 ,H6  i  G9< )60 / 'K     + QW/7  ? @*  03 6 % î K) ')H    =F =<#>6 6 E45) =n %

(555) Û* #$

(556) %7 =ë  R*=9< 

(557)   5 n*

(558) *-) E  =n(¨G   5 V£

(559) ) GH $ =\

(560) :$

(561)   <=( Q(0kB&

(562) ) GH $*!5(0 E

(563) $

(564)  ¨SHQO7 { :u60% #(! i$ ( M$

(565) j‚B

(566) ) GH $à*Y    03$

(567)  IB???jT N)   < G #M,

(568) ) GH N?( f0 = 9< )'6 6 E<=$

(569)  f 96)Û*  E45) =fG X   <N7 T*u6 6  9< )Y  d6 e #( % Y  5U  Â*=9< 

(570)  )HQO*N) A0 p

(571) 0 E#$

(572)  ) %

(573) Û* #$

(574) %7 T r p h60 ) 

(575) fEj  "< 

(576)  B h)H  E45) =§B  " #( % Y  5 96)Û*  E45) ?

(577) ¸ "60Bq9< =fEj  <c

(578)  b   %7  5 ˜  N*Q* Û* =fQ* .

(579) à=±. õ @ í"÷ A (ò RBSí"õ AC@ b(n) d(n). H(z). +. r(n). d¯1 (n) Module 1. d¯2 (n) Module 2. Module p. d¯p (n). ˆ d(n). TVUWXY[Z]\_^_`a`[b `!cedaf_YaUdachg canal Fonction 1 sortie module p-1. Π−1. Fonction 2. Π. sortie module p. TjikWmlnZKo]da^_o]bqpr b oqs,Ztp b uh^. à T W   < G Mg

(580) )HG}N. vxwzyx{ C| j ). 6 R  5  03O<9 Y  5 ¸  P7 jE) 6 D0 p6 ) eh0 C(  '6 )   6jE:$

(581)  -G Û/

(582)  )  5  ?  P(F*0 *Û '/) 0 =]/.'GH 0 =P*) E?I{, VY /60 lV #( % Y  5 W %

(583) Û* #$

(584) jd9< )G / Y î 60/ ) 

(585) ])H  E45) =  hHQO7 ?r@f0/ ) 

(586) ]K  /60 =]   5 g  7  5 g 6*=9< =#(  =WG ) $   0   )0 =]0 ) % =D

(587) >6Û*  E45) = V/./

(588) _Y  ?JjT =Du6!)  à vkqÀy  à vÚH8yN) *=   5  52  =G =<c

(589) %7 Y  5 W0  #( % Y  5 W %

(590) Û* #$

(591) Uj  P6 Y/60 2p6 S #( % Y  5 2 %

(592) Û* #$

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