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Cramér-Rao bounds and estimation algorithms for Delay/Doppler and conventional altimetry

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(1)Open Archive TOULOUSE Archive Ouverte (OATAO) OATAO is an open access repository that collects the work of Toulouse researchers and makes it freely available over the web where possible.. This is an author-deposited version published in : http://oatao.univ-toulouse.fr/ Eprints ID : 12945. The contribution was presented at EUSIPCO 2013: http://www.eurasip.org/Proceedings/Eusipco/Eusipco2013/#. To cite this version : Halimi, Abderrahim and Mailhes, Corinne and Tourneret, Jean-Yves Cramér-Rao bounds and estimation algorithms for Delay/Doppler and conventional altimetry. (2013) In: 21st European Signal Processing Conference (EUSIPCO 2013), 9 September 2013 - 13 September 2013 (Marrakech, Morocco).. Any correspondance concerning this service should be sent to the repository administrator: staff-oatao@listes-diff.inp-toulouse.fr.

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(92) { =‘s(n‘ o0„ j‘r

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(104) +    ‘8‘ Eadz‘T ‹ PMq‘NT‘„xd}}Tq‘*l‘

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(129) ‘ MqR‘ A,A+ ?‚

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(133) ‘ dz‘ zmd`a}m†‘ ad`aTx‘ Ytx‘ --)‘ }aMq‘ Ytx‘ ,)‘ 2t„TƒTx‘}aT‘ utzzdNmT‘ douxtƒToTq}‘ dq‘ }aT‘ Tz}doM}dtq‘ tY‘ }aT‘ TutPa‘MqR‘Moumd}RT‘dz‘PmTMxm†‘tY‘oMitx‘doutx}MqPT‘ . 3

(134) {. „aTxT‘$3

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(143) { Rd\Txz‘Yxto‘ }adz‘Tz}doM}tx‘zdqPT‘}aT‘„Td`a}dq`‘oM}xd ‘ +

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(152) . 12R R .>F<=3CR $R '=3A>HHGL R R %3MIG5GI63KGJ R 3F6R R .3AA>J R +=7R C73FR75=GR3F6R75=GR5IGJJRHIG6L5KR9IGCR3R473C9GIC>F<R>FK7I97IGC7KI>5R 3AK>C7K7IR 3F6R K=7>IR3HHA>53K>GFR KGR7A7M3K>GFRC73JLI7C7FK R1 ($+1 %+!1 $1 #%,1 $+!$1 MGAR  R FGR  R HHR R   R G5KR R. X`J„n„. 5R. / )q. 3A>E>R R %3>A=7JR 3F6R "/ R +GLD7I7K R I3C8II3GR 4GLF6JR 3F6R. 7JK>C3K>GFR 3A<GI>K=CJR 9GIR 67A3O

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(154)  1 MGAR R*GLK=R 9I>53R ?LAOR. 4R. A,A+z‘MqR‘ A;C/z‘Ytx‘ }aT‘:C‘I:C‘ MqR‘;:‘Mm`t‹. 12R R &A>M7IR3F6R*R (L7<3F R $'+,$!$1 /$, ,!1

(155) &',.'1'1 #0 +1. 12R. $GF6GFR IK75=R=GLJ7RHL4A>J=7IJRR. Qq %3>A=7J R "/ R +GLIF7I7K R "R *7M7I>F> R 3F6R 'R +=>43LKR I3C8II3GR 4GLF6JR 9GIR I363IR 3AK>C7K7IR N3M79GICJR >FR   1 A3LJ3FF7R *N>KP7IA3F6 R RL<LJKR R. 12R 'R >AA>F<JA7OR '%!"!-/1 $1 +.'1 I6R 76R C7I>53R "G=FR .>A7OR q*GFJ R!F5RR. /  /. 12R R. Eadz‘uMuTx‘RTxdƒTR‘}aT‘,xMoXxAMt‘mt„Tx‘NtqRz‘Ytx‘}aT‘uM‹ xMoT}Txz‘tY‘}aT‘RtNmT‘Ptqƒtm}dtq‘otRTm‘Ytx‘xMRMx‘Mm}doT}x†‘ Eadz‘otRTm‘aMz‘xTPTdƒTR‘M‘PtqzdRTxMNmT‘ M}}Tq}dtq‘Ytx‘PtqƒTq‹ }dtqMm‘ Mm}doT}x†‘ „aTxTMz‘ d}z‘ MuumdPM}dtq‘ }t‘ RTmM†tuumTx‘ Mm‹ }doT}x†‘ dz‘ otxT‘ xTPTq}‘ EaT‘ MqMm†zdz‘ tY‘ }aTzT‘ ,xMoXxAMt‘ NtqRz‘ aMz‘ Ptq^xoTR‘ }aM}‘ Mq‘ douxtƒTR‘ Tz}doM}dtq‘ uTxYtx‹ oMqPT‘ PMq‘ NT‘ T uTP}TR‘ „aTq‘ zdq`‘RTmM†tuumTx‘Mm}doT}x†‘. TzuTPdMmm†‘xT`MxRdq`‘}aT‘Moumd}RT‘MqR‘}aT‘TutPa‘tY‘}aT‘Mm}d‹ oT}xdP‘„MƒTYtxo ‘dqz}TMR‘tY‘PtqƒTq}dtqMm‘Mm}doT}x†‘EaT‘`Mdq‘. 12R R. Eq 7IKJ7@3JR %$"!$'1 &'%(##!$1. ,F>K76R *K3K7JR G9R. 7ACGFK R %3JJ35=LJ7KKJR. K=7F3R*5>7FK>;5 R R. 3A>C> RR %3>A=7JR"/ R+GLIF7I7K R Eq+=>43LK R3F6R R GO R '3I3CQ. 7K7IR 7JK>C3K>GFR 9GIR H73@OR 3AK>C7KI>5R N3M79GICJR 1 ($+1 %+!1 $1#%,1 $+!$1 MGAR  RFGR  R HHR  R C3I5=R R 12R $R '=3A>HHGLR 3F6R. Mq F?GAI3JR  )7KI35@>F<R G9R *)R 3AK>C7K7IR G573FR. HGN7IN3M79GICJR 3F6R I7A3K76R 355LI35>7JR G9R K=7R I7KI>7M76R J73R JLI9357R =7><=K R J><F>;53FKR N3M7R =7><=KR 3F6R N>F6R JH776 R >FR %+!$1 $1 #%,1 $+!$1 /#&%+!.#1  1 

(156) 1  1 1 $,),!%$"1 ?LAOR RHHR R 12R R 'GI3KR 3F6R R  I>76A3F67I R  '7I9GIC3F57R 3F3AOJ>JR G9R H3I3C7K7IR 7JK>Q. C3K>GFR3A<GI>K=CJR43J76RGFR=><=GI67IRCGC7FKJR$,1 ?q

(157) &,1 %$,*"1 !$"1 *++1 MGAR RFGR RHHR  R*7HK7C47IR R.

(158)

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