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Passive Aircraft Altimetry using GPS as a Bistatic Radar : A simulation model

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(142) _ VYVUP s MXUPhk‹(

(143) "MOX^XYPVY`iR q. g`.

(144)     .  C @"zB-G;l€d@8?BDC.    B 8M

(145) m q V _ ZARTh   “ # AZ V ~x _ S^P.                                 .                                  .    ‹ _ds Z[XY` _ RkNQPX _ h   ’ ‹n`yN xAs ` 2

(146) "MOXY` _ RTS     Z[X s `yRTP    .  zB =:Hn9B ~HIz

(147) -8?H?@. “  3PMrS^ZAVU`iR q TP"` q IX.  lHnB~z,>. “ .                                                           .                             .     g P"V g `yP                  “ ‰ŽrR XUV _ h[Z

(148) XY` _ RtX _ ! # ‹            “   ‹[MXUP sis `yXYP

(149) _ RTS^XYP sys MXU` _ R       “  “ ! # ‹kS^` q R~M s

(150) TMOV M/

(151) XYPVY`fS XU`.

(152) S     “   jvV MORTSYNQ` XYXYPVaMORTh SY` q RTM s xD_  PV   “  ’ †P

(153) "P"` g P"V                ؄XYN _ S x APVY`

(154) .P+1 P

(155) X S           g `y`.                                                                                                                              .  ’.                              . . .  .   “   .

(156) -8:8?8.   ’ # TMORARTP s N _ h[P s S              _ h[P s `yR q VUP+~P

(157) XUPh ! # ‹kSY` q RTM s S    j AP WA`iS^XUMOXY`

(158) VUMrhAMOVP *rZ~MXY` _ R       B MrS^`

(159) .VUMrhAMOVmnR _  s Ph q P    “ j APVUMrhAMOVP *rZ~MXY` _ R      !.V _ ZARThtVYP TP

(160) XY` _ R              g P"V g `yP            “ †P+TP,

(161) XU` g `yX3            ‹(

(162) "MOX^XYPVY`iR qQx MOX^XYPVYR      ‘ 6TMdhA`yR q                 ‘   jD x PS _ \v\?MdhA`yR q        ‘  “ # _ NQNQP"RIXU S    ØaRIXYPRARTMdS                   g P"V g `yP             “ !.P"RAPVUM s X AP _ V      . . . . . HI>T6;lz8?C Hn8? D @ ’   # M s

(163) Z s MXU`yR q X TP AP"` q IX ’  “ jvV M/

(164) mn`iR q NQPX _ hAS    ’   JLVUV _ V„S _ ZAV

(165) P}S      ’     B `fMdS       ’    “ : _ `fSYP     . B~C @}HnC @6. ‘.                     . “O” d“ “ d“ “ “O.                                                                                    . “.                     . “.                     . “.                     . .  d O’ d‘ d‘.                                                                                                         . .                     . .                     . . .                                                                                                                                  . . ’r ’d’. ’ ’ ’.

(166) BDC @HnC @6  lH 6}8?9 ;=?>[@}8?BDC 9FB-GHn=   ‹n`yN xAs ` 2

(167) "MOXY` _ RTS                  “ !.P _ NQP"XYVU`.

(168) h[P}S5

(169) "VY` x XY` _ R _ \lX AP; _ V s h        “   ØaP"V _dxTs MdRAPMORThkSYMOXYP sys ` XUP           “  “ jvPVYV MO`iR g MdVY`fMXU` _ RTS             “   bcMOXUMOW~MdSYP _ \ q V _ ZARTh AP"` q IXaMORTh

(170) _ g P"V   !.V _ ZARThtVYP TP

(171) XY` _ R                     †P+TP,

(172) XU` g `yX3                   “ ‹(

(173) "MOX^XYPVY`iR qQx MOX^XYPVYR            ’ j APMORIXYPRARTM                     j AP! # ‹kS^` q R~M s                   bP}S5

(174) "VY` x XY` _ R _ \lX AP SY`iNpZ s MXU` _ R          j APS^`iNpZ s MXU` _ R x V _rq V MON            . 8. . . .              . ’. .              . .              . d“.              . ’.              .  .                                                                                                  . . . d”. r“ d .  HIz

(175) ŠB~z9FHnGE6}8?9 ;=?>[@}8?BDCl6     g P"V g `yP                                       oaP"` q IXaP}S XU`yN|MXU` _ RtNQP"X  _ h                          “ J g M s ZTMXU` _ R _ \vXAPNQPMdSYZAVUP"NQP"RIXNQPX _ h             d‘     !.P"RAPVUM swx MOV MONQPXUP"V S \ _ VX TP S^`iNpZ s MXU` _ RTS              ”   “ ‰ŽN xTs PNePRIXUMXU` _ R x MOV MONQPXUP"V S                          “   !.V _ ZARTh xAs MORAP}S                               o _ N _rq P"RTP _ Z~S„SYZAVY\?M/

(176) "PS                           {’    !.V _ ZARTh

(177) _ g P"V                            {’   “ ØaRIXYPRARTM                               . . . . . . . . . . .

(178)   . jvPVYV MO`iR g MdVY`fMXU` _ RTS             ’ ‹[MXUP sis `yXYPP s P g MOXY` _ R MOR qrs P           oaP"` q IX _ \MOPV _rxAs MORAP              : _ `fSYP                    ’ oaPXUP"V _dq P"RAP _ ZTS„S^ZTV^\?M8

(179) PS              ’   b` 1DPVYPRIXaVYP TP

(180) XY` g `yX3           ’  “ b` 1DPVYPRIXS5

(181) MX^XUP"VU`yR qex MX^XUP"VURTS       ’   b` 1DPVYPRIXaV _ Z q ARTPSUS„MdRThkVYP TP

(182) XY` g ` X3  ’  ’ # _ NQNQP"RIXU S                   u _ R q SY`yN Z s MXY` _ R                     †PSYZ s XUS                 . . ‚k8?6}€d;6}68:B~C  j APS^`iNpZ s MXU` _ RtN _ h[P s  “ # P"VY\ _ VUNeP}h SY`yN Z s MOXY` _ RTS.                           . B~C @}HnC @6      ‘d”      ‘O’      ‘d‘.                                             . . ‘  ”r”  ”r”  ”I“  ”I“.                                                                       .  .                          . .                          . ”. . BDCl€r=?;Gl8:Cl zHn9F>[z -6 ‘   # _ R

(183) s ZTSY` _ RTS    ‘  “ 6AZAVYX APV  _ VYm  . ’. “. ”.   .   “.                                                         . 5>A=:8?G>[@8:B~C B

(184) @H 9FBvGlHn=?HnGF6}€d>A@"@HIz8?C >[@"@}HrzC6. . .

(185)  

(186)        *  #  3! 2 j TP AP` q IX„`fS MdR `iN x~_ V^X MORIX x MdVUMdNQPXYPV `iRtMdP"VU`iM s g P A`

(187) s PSORTh X APVYP.MOVUPcSYP g PVUM sTx ZTV^ˆ. xDS5[_ S SYXUPP"S'N| SA P"`iVUmdPP ` X `iRA`iSP"VYZ~XYS^`fMP"\ Z RTs M 6 ` _ VLMXUP"` K[MdR N S xA[sS^P8XYOPNXAP  ‰3A:cP‹&` q  r0XD6

(188) MOVcRQX WDTPa`iSZTDSYX PAheP X A_ P"` SYZ IxAX xD_ VYXLP"VRTNeM g P}` MOq RMXUSY` _ PRM s s gq _ _ q _g s P X g AP Ps V M<‹[u `

(189) "MO`fXYS` N RT_ S„S XXA

(190) P _ NQAPN ` _ rR X s |ZTP"S^V P}h0V % ZTART`h

(191) "`fS

(192) RAMORPPWDh[PP}h0NQTPP Md SY[ZA`yVUR Ph V`yZAX RTh"M

(193) WTMOV `i_ SY`NQR"PXU„P"V MdlVY‰ŽR[R ˆ _`iR S [S^XYxTPxANQs S V _ XUP"VUVUMd`yR|\ q `iR _ g

(194) q S^Pc_ X X AP V ZTRTh j Aq `fS `fS q W[_ X MO`iRAPh _rsys ` Xk_ MpVUMrhAMOV q _ _rsysi_ q sy_ _ q _ _ TP"` q IXM s XY`iNQPXYPV  †o +  A`

(195) kXYV MORTSYNQ` X SV MdhAMdV x Z s SYPS   T` s P ‰3:c‹ MdRThkWTMOV _ NQP"XYP"V MdVYP MrSYSY` Pp`iRTS^XYVUZANQP"RIXUS X APQP P,

(196) XYV N|M RAP"XY`

(197) M PSXYV MOR~S^NQ`yX^XYP}h W% XAP|†ao

(198) "MdR WDPh[x P"XYP,

(199) XYg P}h ‰ŽRQNe` s ` X MOV M xTxAs `

(200) "sMOXY` _ RT_ S`yXLq `fS _ \ XUP"R h[P}g S^`iVUMdW s P7`yX |M x MrSYSY` g PS [S^XYPN MOR~h SYZ

(201)  MOR3M s XYPVYR~MXY` g PcX _ XAP†ao  _ Z s htW~PWDP"RTP 2

(202) "`iM s  RTPM X M8

(203)

(204) N `iS 3X T`iS.`fSX Z~S^PQM WA`fS^XUMXU`.

(205) V MdhAMdVcM XY`iNQPXUP"V,0 AP"VUP MkS^` R~M `iS XU VUMdRTSYNe`yX^XUPh_ \ V _ N_ MkxAsh[` 1DPVYPRIX.S _ ZA_ V

(206) P8DVUP+~P

(207) XUPh MOXcX AP q V _ s ZARTh MORTh X AP"R<VYP,

(208) P` gq Ph3s W% XAP MdP"V _dxAs MORAP |‰Š\M s S _ M3h[`iVYP,

(209) XpSY` q RTM s `fSVUP

(210) P` g Ph0l` X `iS xD_ SUSY`yW s PQ\ _ V X AP Md`yV

(211) V M\ X X _

(212) M s

(213) Z s MXUPXAP AP"` q IX _ g PV q V _ ZARTh|W%|ZTSY`yR q XAPh[`21 P"VUP"R

(214) P.`yR MOVUVY` g M s XY`iNQP Lj AP.VUMrhAMOV SY` q RTM s SD` sis X APR R _ X WDPXUVUMdRTS^NQ`yX^XUPh W%eX TP.Md`yV

(215) V M\ X MdRThQX AP.S5[S XUP"N ` sys WDP x MrSYSY` g P  P}S^`fh[PScV MdhAMdVwSY` RTM SZ~S^P}h3`yR V Mdh[`

(216) NQNpZART`.

(217) MXY` R~ScS5[S XUP"N|ScMdVYPeM S VYP TP

(218) XYP}h MX XB AP q V _ ZARTh0SY`yR

(219) "q P X As P}S^P<S^` q RTM s S|MdVY_ P XU_ VUMdRTSYNe`yX^XUPh _ _ RP s P,

(220) XUV _ NQM q RAP"XY`s

(221) "_ „M g PSQNpZ

(222)  VUPSYP"N W `yR X  S^P \-V MdhAMdV j A`iS PMdhTSLX X TP`fh[PM X TMOX XAPSYPcSY` RTM SD

(223) MOR|WDPcZ~S^P}hQ\ V XAP x ZTV s xD_ q SYP _ \w_ MWA_ `fS X MXU`.

(224) x MrSYSY` g Ps VUMrhAMOVLS5_ [S XUP"N ‹n` q RTM s S\ V _ N SYMOq XYP sis s ` XUPS`iRQX AP ! sy_ WT_ M s #SYZ_

(225) S^ `yXY`M|_ RTS [`yR S^qXYPN ‹%[ S XUP"N  ! # ‹& \ Z s 2~sys XAPtRTP

(226) P}SYSUMOV VYP *rZT`yVUP"NQP"RIX S MdRTh-

(227) "MdRFWDPkZ~S^P}h `yR †aPSYPMOV

(228)  _ R Z~S^`iR q ! # ‹ SY` q RTM s S VUP+TP,

(229) XUPh \ V _ N q V _ ZAR~h TMdS W~PP"R qr_ `iR q _ R \ _ VpX AP s MdS^Xh[P,

(230) "MdhAP „‰ŽR    ) MOVYX R[ˆ :aP`yV M x V _rx~_ S^P}h XAP ZTSYP _ \D! # ‹tSY` q RTM s SVUP+~P

(231) XUPht\ V _ N. .

(232) .  C @"zB-G;l€d@8?BDC. _ \

(233) "PS^MOP}R M S^SYZAZAVYV^\?\?M/M8

(234) "

(235) PP S T\ P"_ ` VQISYXUMOS XY P sis J` XUK PtM P"sVUXY`y`iNQNQP"PRIXUX V5M   V ”  \?S j XTTPtMOXpN|XMOA`iRFP `iVURIP+XYTP"P,VU

(236) PXUS^PXhFSYMd` SpRT`yM R S X AMdPkVYP S^PS^XYRTV SY`yRR q _PR Z  „P"VUP h[P ` q P"VUPh `yR x ’  TP"R¼s x Øa_nZA_ WDP"V M8

(237)

(238) `fh[PRrX  NQP}MdSYZAVYP}h q XAs P VYP TP

(239) XY` _ RTq S s _ \ V _ _ N q X AP _

(240) P}MORs  g      j TPL`ihAPMX ZTSYPX AP VYP TP

(241) XYPhSY` RTM S \ VvMO`iV

(242) V M\ XvM XY`iNQPXUV5 „MrS-h[`fS5

(243) "ZTSUS^P}hcW%MX "WDP"V. P"X M s .`iR  _    ‘LMOR~h3PK x P"VU`yNQq P"RIX s M s _ VYP}S^Z s XUS

(244) _ R 2 s VUNQPh X A`iScXAP _ V5 MOX "WDP"V q P"X M sq  M S h[PVY` P}h S NQP X AP VYP"XY`

(245) "M VYP}S^Z X S

(246) R

(247) "P"VURA`yR M/

(248) 

(249) ZAV M/

(250) /DM X  Z 3XAP XYP

(251) TRA`8*IZAP X _ s _PS^XY`iN|Mg XYP.X A_ P AP"` q IX_ \ V _ N(X s AP

(252) _ s VYVUP s M_ XU` _ R|\ ZAR

(253) q XY` _ R MdS *IZA`ysXYP _SY`yN q xAs P  j T`iS

(254) R

(255) P X MdSw\ ZTV^X AP"Vh[P P Ph MdRTh PKAMONQ`iRAPh `yRpS^XYZ~h[`yP}S P"V-W X  MdRTh MdRThS^P}M&. W%  Md_ S^XYPVUSx P"X M s l`iR “O”r”   g  si_d j x TP p`iR g P}S XU` q MXYP}h SYP g P"V M s NQPX _  g _ hAS __ \DP}S s XU`yN|MXU`yR q X AP TP"` q IX\ V _ N X APVUP+TP,

(256) XYP}h SY` q RTM s  x MdV^X s ;`yX  AP syxQ_ \DMX AP _ VYP"XY`

(257) "M s N _ h[P s \ _ VVYP TP

(258) XYP}h ! # ‹pSY` q RTM s S  ‘ j$ _ P"K x PVY`iNQP"RIXUM s ~` q rX S

(259) _ R 2 VUNeP}hX AP„X AP _ VU`yP}SMdRThX APVYP}S^Z s XU`yR q xXAP"`fVYSa\ _ MOVUVUN|PM MOR`iS

(260) "P R _ \ X `iAR P| WA`fS X MXU`.

(261) |M s XU`yNQPXUP"V M xAx P}MOVUPh X _ WDP SYMOXY`fS \ n`iR q  6AZTV^X AP"V; _ VUm3`yR _ qr_ q j TPt`fh[PM \ VeX A`iSeX APSY`fS VY` `iRTMOXYPS \ V N ‹[MdMdW \ VUSeb IR~MONQ`.

(262) S  ‹ b  ' MdR? \. XAPNQ` s `yXUMOV_ M xAxAs `.

(263) MXY` _ R~S_ h[P gq P si_dx PhkMX_ X T`iS

(264) _ N Bx Md_ R?_  \ PMXUZAVUPcXAP XYV MdhAB ` XU` _ RTM s †ao  _  P  q  `iR RTM g ` q MXU` _ R S5nS^XYPN|S\ _ V Ne`fSUS^` s P}S ‰ŠX; _ Z s h WDPe`yRIXYPVYP}S XU`yR q X _ `iR g PS^XY` q MOXYPpX AP xD_ SUSY`yWA` s ` XU`yP}S _ \ZTS^`iR q M x MrSYSY` g P.M s XU`yNQP"XYP"V`iRTS^XYP}Mdh . .  

(265) p . j TP x ZAV xD_ SYP _ \ X A`fS X TPSY`iS TMrS W~PP"R X _ P"K[MdNQ`yRAP|MdRTh

(266) ~MOV M/

(267) XUP"VU` P XAPQZTS^P _ \$! # ‹. MrSMQWA`fS X MXY`

(268) V MdhAMdVM XU`yNQP"XYP"VcS [S^XYP"N  ‹[`yR

(269) "P X A`fS`fh[PMQ`fSRAP `yX T`yR ‹ b[\

(270) ZTS TMdS N|Md`yR s FWDP"PR _ R x P"VY\s _ VUNQ`yR q MdR `iRA` XU`iM s S^XYZTh(8„MdRTh x VYP x MOVU`iR q \ _ VQ\ ZAV^BXAP"V|VU_ PSYPMdV

(271)   6TZAVYX APVYN _ VUP/?`yX A`iR XAP.XY`iNQP s `yNQ`yXUS _ \-X APcX TPSY`iSnX AP AP` q rXNQPMrS^ZAVUP"NQPRrX„NQPX  _ h ~MdSWDP"P"R|P"KAMONQ`yRTPh` XeVUPS x P

(272) XX _ h[`21 P"VUP"RIX x MdVUMdNQPXYPVUSOSYZ

(273) |MdSX TPX3 x P _ \ q V _ ZTRTh

(274) _ g PVMdRTh XYP"VUV MO`iR g MOVU`fMXY` _ R~S  6TV _ N(X TP _ VU` q `yRTM s x ZAV x~_ S^P.X3 _eqr_ M s S TM g P.PNQP"V q Ph-‡  cbj AP g P P syN _rx hAMdP RTh Np`yZ~N S xAX s P"W~NQP P"

(275) RIXtN M SYP`yXYN P Z P"s MR XY` Z_ RE N X _ h[PN|s MO\ mr_ P VQAX APP3` IVUP+Xk~NQP

(276) PXUMrPS^h ZTVY! PNe# ‹EPRISYXU` S q RTM s P"S V  _ s _ xAs _ q _ q _g gh[MO` 1DVnPVY`yR PRIq X YX PV VYV MO`iP"R VYXY`iP‹nSP MOg VUPP VUMh[s P}S^X3`i V xMOWPS P _\ ‹n`yq R V

(277) _ P„ZANQRTh MdR%

(278)  _ g SYP`iN VUSP`  q

(279) "4MOXY` MRTXUSP"V _ ` VeWD\ _ P„VUh PS^XRA'P8{X `yAX  P SY`yN Z s MOXY` _ x R _dN x _ h[P s ` sis WDP hAPSY` q s RAPhtX _ W~P MdS ~PK[`yW xTs Pps 2 MrS xD_ _ SUS^`iW s P/sy~s `  P ~` X _ S  _ Z s h WDPPMdS5QX _ hAP g P sy_rx MdRTht`yN xAs P"NQP"RIXaP  q AMQRAP N _ h[P s \ _ VaSY` q RTM s S5

(280) MX^XUP"VU`yR q .

(281) .  ~B =:;v@}8?BDC 9FHI@B-G  NQSYPP X  X Th P eN j _ ThAPeP s NQX _ P"X x  PV^h \ _ S VY N Z S^`ihNpZWDs PQMOXYP ` _ M RTSZTMOMdXYRTPhkhP g M`yX s ZTMVYXUP}P S X APP

(282) X.AX P"` q h[I`2Xa1 NQP"VUPP"MrRIS^X ZAVUP"MdNQVUMdPN RrXˆ PXUP"V S w_ SYZ

(283) <MrSaXUP"VUVUMd`y_ R g MdVY_`fMXUs ` _ RTS _ V g s `fhnX _ \ MORIXYPRARTM x

(284) _ g PVU_ M q P cj APeRnx ZANpWDP"V _M \ MOx ` MOMdV W MONQPtP"XUXY`yP"NQV SP µMORT؍h S S

(285) P"RAR~P3MOVUP ` _ M ScZT`iRMO

(286) XYs` ZTRhAPNQh P`yR<X X Th0P S^X `iTNpP Z As MP"XU` ` _ IRTX SNQMOVUP}PQMdSYh[ZAPVY

(287) "P}`ihh[P}h ` W?X  XX AAPP SY`yg N Z s s MOXYs ` _ RkN _ hAP s

(288) _ N _ x MOVUPg h sX _ X T_ P XYVUZAP AP"_ ` q IX ` sys WDPq ZTSYPh .  . j TPkSY`yN Z MXY` R N h[P ~MdS W~P,

(289) NQPkMORF`iN V^X MORIX MdV^X \XAP XAPSY`fS W X h[ZAPtX. VUP+*IZA`iVUP"NQP"s RIXUSv_ \ V _ N _ ‹ B bs OMORTh S^`iR_

(290) "P `yX`iSXAPx~S __rs Z[XU` _ Rpx NQPX _ _ h

(291)  _ SYP"R j AP„_ SY`iNpZ s MXU` _ R_ N _ h[P s `yXUSYP s \v`fS„R _ XS^Z xTx~_ S^P}h|X _ WDP.M x MOVYX _ \lM s MOV q PV S5nS^XYPN IWTZ[X XAP 2 RTM s M s XU`yNQPXUP"V NQ` q IXaWDP .  '  "t e!    2 j TP.S _ds Z[XY` _ RtNQPX  _ h TMdS WDP"P"RtX _ h[P g P si_dx MpSY`yN Z s MOXY` _ RtN _ h[P s _ \-XAP x V _ W s PN ?`yX  hAPS

(292) VU` XU` RTS \ X AP ! ‹ S^` RTM -X AP V ZARTh VUP+~P

(293) XU` R MdRTh<X AP|VUP

(294) "P"` PV Qj APQW~PR[ˆ P 2 XUSx ` X  _ X A_`fSQNeP"X  _ # h MOVUP3q S^P g s PVUM s Eq j __ S _ds g PtX AP x _ V _ W s PN MORTM s IXU`.

(295) g M sis   _ Z s h W~P X _n_ h[`29

(296) "Z s XkMORTh R _ X ~PK[`yW s P3PR _ Z q  ‹ _ NQP MdRTM s IXY`

(297) "M s N _ h[P s S TM g P WDP"P"Rh[P g P s ˆ _rx

(298) "PP}MOh0R<AS^Z[ZAXVY\?XM/A

(299) "PPS  MdVYP.`yXZT SYZTM M sis  P"RA_ PR VUs M  M SY`ixANpxAZs `

(300) "MMOXUW ` s PcR `yRN

(301) PhAV^P X MO``iXR `f

(302) "S MrS^P}S SU S^s`i`yW mrP.PpSYX ` q RTSYM`yN s S„Z VYP MTXYPP

(303) AXYP}Ph` rMXX _NQP}MdSYZAVYPNQP"RIXUS P"VcS^P P"V q M X3 sPS \ s V ZA_ RTh3MOR~_ h XYs PVYV MO`iRxD~_ MdRTh*s`yX  _ S P

(304) `fs M X3 P}S q \ XUP"VUVUMd`yR g MOVU`fMXY` _ _ R~g S L‰ŠXc`ig SaM s S s _ PxMrS  X_ _ q

(305) T_ MdR q P h[` 1 P"VUP"RIX x MOV MONQP"XYP"V S s `imdx PX AP;s `fhnx X  __ \ XAP MORIXUP"RARTMeWDPMdN _ V„X AP x~_ „P"V _ \vX AP S^` q R~M s S AMdRThtS^XYZ~h( X APP+1 P

(306) X _ \X A`fS  ؍R X AP"V M V M8

(307) p`fSX M8

(308) XYZ~M  WAZA` hQM AP` rXLM XU`yNQPXUP"V MdRTh PV^\ VYN VYP}M NQPMrS^ZAVUPˆ NQPRr_ X S   AxA`

(309) x  _ M s S _ TMdS _ WDP"PR h sis _ RAP s  vWTZ[Xq X A`fS;s  _ Z s h W~PQX _nx _

(310) _ _ S^X s  MOR~h<s M s S _ s P}SYS ~PK[`yW s P Lo _ „P g PVIX _ g M s `fhAMXUP X AP SY`iNpZ s MXU` _ RtN _ h[P s nX T`iS`fSRAP,

(311) P}SYSUMOV .   't" 3

(312)  .  !  j T`iS XAPSY`fS TMrS NQMd`yR <W~PP"R-

(313) R

(314) PRIXYV MXYP}h R h[P P `iR M3S^`iN P WAZ[X \ Z  \ ZAR

(315) ˆ. XU` _ RTM s S^`iNpZ s MXU` _ R N _ h[s P s j AP A_ P` q IXLNeP}MdSYZAVU_ P"NQP"RIXg NQsi_dPx X  _ q h ~MdS _ xAR ss pW~PP"R|PKAsys MdNe`iRAP}h WTVY`iP+kMORThtXAP"VUP `fSaS XU` N Z

(316) kX h TP"VUP   MOR%tSY`yN `

(317) "MOXY` RTS ~M P W~PP"R h RAP X XAPS^`iNpZ s MOXY` _ R N _ h[P s dh[sis ZTP X _ XAP _ s `iNQ_ ` XUPhQS5

(318) _dx P _ \TX TP xAXAs P2 SY`iS 46_ _ VP"K[Mdg N xAs P8N _ _ hAP s `yR _q XAP q V _ ZARTh3MdRTh VYP TP

(319) XY` _ RTS _ \XAP ! # ‹ S^` q RTM s MdVYPpM xAx V _ K[`yN|MXUPh"`yX  s PSUS

(320) _ N xAs PK N _ h[P s S  j TPaS^`iN xAs ` 2

(321) MXY` _ R~S _ \DX APN _ h[P s MOVUP„h[P}S5

(322) "VY`iWDPheN _ VUP `iR|h[PX MO` s `yR # TM x XYPV  .

(323) . . . t"! .  C @"zB-G;l€d@8?BDC. j TP _ [Z X s `iRAP _ l\ X APVUPS^X _ \X A`fSVUP xD_ VYX„`fSXAP \ _dsisy_ `iR q ‡. >@HIz  h[P}S5

(324) "VY`iW~P}S„X AP x V _ W s PN `iR q P"RAPVUM s . > x @VHI_ z W s P"N q ` g P}SX AP RAP,

(325) P}SYSUMOV XAP _ VYP"XY`

(326) "M s mnR _  s Ph q P|RAP"P}h[PhFX _ ZAR~h[P"V S X MORTh X AP. >SY@` HIq zRTM s MOh[R~P}h S5

(327) "X VYA`iW~PP}P+Sa1 X PA

(328) PQX _NQ\PR X _ `f_ S^hTP Sc`iRkZ~S^X P}Ah3PX VU_ P

(329) "PP"S^` XYg `iP"N|V MXUPpXAP TP"` q IXc\ V _ N XAPQVYP,

(330) P"` g P}h. > @HIz h[P}S5

(331) "VY`iW~P}S-X AP hAPSY` q RpMORThp`yN xAs P"NQPRrX MXU` _ R _ \[X AP„SY`iNpZ s MXU` _ R N _ hAP s ZTSYPh . > MO@R~HIhz

(332) TMd

(333) VU_ M8RI

(334) XUXUMOP"`iVURT` S PVYP}X S^AZ P s X ASLP"\ ` Vq _ IN XaNQh[`P1 MrP"S^VUZAP"VURIP"XNQSYP`iNpRrX Z S s MXU` _ RTS Z~S^P}h|X _ P g M s ZTMOXYPX AP.N _ hAP s. > @HIz SYZANQNQMdVY8` "P}S X APVUPSYZ s XUS„\ V _ N X AP SY`yN Z s MOXY` _ RTS . > @HIz  q ` g P}S X AP

(335) _ R

(336) s ZThA`yR q VUP"N|MOVUm[S _ RkX AP X APSY`fS  . . .

(337)  . C   .      . # RTSY`ih[PV X AP S5

(338) "P"RTMdVY` h[P}S5

(339) "VY`iWDPh|`iR"6` ZAVUP.“ ¢ØRkMdP"VU`iM P A`

(340) P/nP  [MdR MOPV MdRAP/ f` S _ n`iR q _ g P"VXAP q V _ ZA_ R~hpMXLM

(341) PV^X MO`iR Tq P"` q IX  j AP! # ‹ s gS^` q R~M ss `iSXUVUq MdRTSYNe`yX^XUP_rh xA\s V _ N MQSUMXUP `yXYP;`yX 3MORkP P MOXY` R MOR P PV V ZARTh \ 7 TMdRThtVYP}M/

(342) AP}S XAPVUP

(343) P` P"V„\ V N X3 _ h[` si1 s P"VUP"RIX„h[`iVUP

(344) XU` _ s RTg S‡ _ _ RAPh[`iVYqrP,s

(345) X_ S^g ` q RTM q sT__ RQX _dx _ _ \wX TPcMOPV _rxAs MORAPaMdRTh _ RAPcgVYP TP

(346) XY_ P}h SY` q RTM s \ V _ N X AP q V _ ZTRTh  j TP X MdSYm3\ _ V.XAPAP"` q IX NQPMdSYZAVUP"NQP"RIX S5nS^XYPN 

(347) "M sys Ph X AP M XU`yNQP"XYP"V,T`fSX PS^XY`iN|MXYP \ V N,XAPSYP SY` RTM S „j AP N|MO`iR x V _ W s P"N)`iS‡  _ 

(348) MORkX A`fS WDs P h _ RAP/TMdRTh _ ` X" ~MXaZAR

(349) "P"_ VYXUMd`yRIX3 q s.  . !#"$ ¥§„ €Œw2€2{ }+ƒ† y—. .

(350) .

(351)  zB =?Hn9B DHrz

(352) -8:H8@ . GPS satellite. . Propagation path. . $  ! v. a L"! #. . Receiver. Height Correlation function. w7„ €-zg}+† w”‹† €-|xy'ª„ €­w2€2{L} ƒ† y—. "# e . ‰Š\lX AP h[`iVYP,

(353) XS^` q R~M s MOVUVY` g P}S MOX XU`yNQP  MdRTh|XAP.VYP TP

(354) XYPhtS^` q R~M s MX„XY`iNQP  Ò IX AP AP` q rX _P g P P"VvMX XYA` P R q VMO_ R ZAR~P h;

(355) "MOP"RpV W~P$V

(356) "ZAM R~s

(357) "h0Z ns MOVYPXYP}MOh XY`\ V _PcN X X AX TP P XY`iMdNQP"VP„hAP sMOMRT/P/  7  [`fS mnÒ R RI‰Š\AX TX TP P„ASUP"M` XUPIsiX s `yXY

(358) "P MdR S WDs P.g PS^XY`i_NQMOXYP}h|qds W% _ Xg APc\q _dsi_ sy_ `iR q VUs P s MXUg ` _ RTS_ T` x nMdSUSYZA_dNQxAs`yR q X TMOX XAP.hA_ P s M `fS NQP}MdSYq ZAVYP}hQX _ XAP S  _ VYXYP}S XVUP+TP,

(359) XY` _ R     “   “SYÓ `yR  7  j _._ W[X MO`iRpX AP„XY`iNePh[P s M X AP x V _dx P"VYXY`iPS _ \TX AP ! # ‹pS^` q RTM s

(360) "MOR W~PZTSYPh ¢Ø S

(361) AP"N|MXU`.

(362) gMe`iPS 

(363) "_ M \DX PAh PaS

(364) PRTMOVU` _ `fSLS  _ Re`y3R `i6S$` q

(365) ZAM VU

(366) PZ “ M “XUP h0 % TP"ARQ`

(367) X T`fPaS„S^ZT` q S^P}RTh|M s X MOVUXUVYVU` g M8P}

(368) SmQMMdXRTX h TPVY

(369) "P,MO

(370) XYP"Pc` g X PAVP  SY` q RT_ M s sy js AP X _dx _ \[X TP \ ZAR

(371) XY` _ R ` sys M xTs x V s _ K[`iN|MXYP s 

(372) _ VYVUPS xD_ RTh._ X _ X AP XU`yNQP si_ _ \~MdVYVU` g M s  oP"R

(373) "P/-`y\ W X  X AP

(374) VYVUP MXU` R \ ZAR

(375) XU` R \ V NX AP|h[`iVYP,

(376) X S^` R~M MORTh X AP

(377) VUVYP MOXY` R \ ZTR

(378) XU` _ R \ V _ _ N X AP VYP T_ P

(379) XYPs htS^_ ` q R~M s MOVUP _

(380) "M s

(381) "Z _ s MXYP}h0IX AP`yVX _dx qS7` s sys WDPMX„X3 _ _ h[`21 s P"VUP"_ RIX XU`yNQP}S  j APQh[` 1DPVYPR

(382) PeW~P"X3 PP"R3X APSYP X3 _ XY`iNeP}S ` sis W~P X APQh[P s M WDPX3„P"P"R X AP X3 _ SY` q RTM s S  S^PP 6` q ZAVUP “  8  ‰ŽR _ V h[P"VX _

(383) _ N x PRTSUMXYP \ _ VaX APeP s P g MXU` _ R MOR qrs P _ \X APQSYMOXYP sys ` XUP/~X APeMOR qrs P 7 TMrSX _ WDPmnR _ R ‰Š\` Xa`fSR _ XmnR _ RkPKAM8

(384) X s /nXAP MOR qds P.N ZTS^XaW~PP}S XU`yN|MXUPh  j TP"VUPQMdVYP X AP"V V W PNQScX TMX

(385) N `

(386) "MOXYPeX TPQS

(387) PRTMOVU`  ‰ŽR 6` ZAVUPQ“   X AP|SY` RTM. \ V _ N XAP q _ V _ ZARTh x `iS_ _ s R s  VUP+TP,

(388) XYP}_ h MOxAX s _ RAP xD_ `iRIX M S _ _

(389) "M sys Phq S x P

(390) "Z s MO VkVYP TP

(391) XYq ` _ R s o _  P g PVdX AP.S^` q RTM s `fS _ \ XYPR VUP+TP,

(392) XYP}h MX„N|MOR% xD_ `iRIXUS(

(393) "MOZ~S^`iR q M  P sys mnR _  x V _ W s P"N

(394) M P}h3NpZ XU` MOX  V M MXY` R  S^PP6` ZAVUP “  ’? cbcP P"RTh[`iR R   ZAR~h[Z MXY`iR X AP XUP"VUsisVUMd`yR<`iSs MdRTx h  Tx MX_rmnx `iRTq h _ _\ q V _ ZARTh

(395) q _ g PVX AP"VUPQ`iSwx X AP|NpqtZ s _ XY` x MOX _  x V _ W s P"s N

(396) MOq R W~P N _ VYP _ V s PSUS x V _ R _ ZAR

(397) P}h j AP VYP,

(398) P` g Ph

(399) _ VUVYP s MOXY` _ R|\ ZTR

(400) XU` _ R"` sis W~P MeSYZAN _ \lN|MOR%

(401) _ VUVYP s MOXY` _ Rt\ ZAR

(402) XY` _ RTSDMOXch[` 1DPVYPRIXaXY`iNQPph[P s M[S  j APpS TM x P` sis

(403) TMdR q PMdRThkX APpX _rx

(404) MOR _

(405)

(406) ZTVaMXM s MOXYPVXY`iNeP8A`iRrXUV _ h[Z

(407) `iR q MORkP"VUV _ V„`iRkX AP XU`yNQP h[P s M  6TZAVYX APVYN _ VUP/nX AP SY` q RTM s ` sys W~P h[`fS^XYZAVUW~P}h W% R _ `fSYP`yRkX TPVYP,

(408) P"` g PV  j A`fS ` sys `yRIXYV _ ˆ hAZ

(409) P MdRtZAR

(410) P"VYXUMd`yRIX3 `iRkX AP TP"` q IXNeP}MdSYZAVUP"NQP"RIX( T`.

(411)  TMdS„X _ W~P MdRTM s  "P}h  . . . . ! "#.

(412) . . . .

(413)  . Hn>A6};lz{8:Cl Hn8? D @ . 1.2. Direct signal. 1. Reflected signal. Correlation function. 0.8. 0.6. 0.4. 0.2. 0 ∆t −0.2 1. 2. 3. 4. 5. 6 7 Time delay [µs]. 8. 9.     ! ¥§† zB€Ž€2Š‰}2~ˆœ€%a|§€-€2{ˆ„ €”|§yB† ‡{ }'Š 2žŸŽ

(414) €-ƒ† ‹P€Žªpƒyz . y'ª„ €­†‰‡'{L}+Š‰2—. 10. 11. „ €Œw-y'ƒƒ€2Š‰}+† y'{ ªs‚ {w-† y{ .  .

(415)  . "!$#&%'(#&)*',+&-.'(0/1(0#&%-.2*-.34#&),56+&5 75 8 #&5 9. :%/;2"(.!=<.

(416) .  zB =?Hn9B DHrz

(417) -8:H8@.

(418)  .      j _ WDPaMOW s PX _

(419) "VYP}MXYPMdRQM8

(420)

(421) "ZAVUMOXYPS^`iNpZ s MOXY` _ RQN _ hAP s `yXL`iSLRAP

(422) "PSUSYMdV5X _ ZARTh[PVUS^XUMdRThpX AP

(423) N RAPRrX S \X AP V W P"N   [XAP ! ‹kS5[S XUP"N,MdRThtX APVUP+TP,

(424) XU` R \vXAPpSY` RTM S  ‰ŽR _ X AxD`f_ S

(425) TM x XU_ P"V,TXAP x hA_ `21 P"s VUP"RIXc`yXYq PN|ScMdVYP# XUVYP}MXUPh _ RAPpW% _ RAP8  ~MXc_ P"K[`i_ S^XY`iR q XAqP _ VY`is PS XAP"VUP MdVYPeMORTh  _  X AP* _ VYmk`iR3X A`fS

(426) "MrS^P .†P}Mdh[PVUSa\?MONQ` s `fMOV ` X XAP XAP _ VY`iPS

(427) "MdR V WTMOW  VYP}Mdh3`yX *rZT`.

(428) m s kWTZ[X S  _ Z s h x M R _ XY`

(429) P X _ XAP|M xAxTs `

(430) "MOXY` _ R _ \LX APN1`yR X A`fS Xx AP_ SY`fS  s .  .  ak . # RTSY`ih[PV X AP V W PN

(431) MrS h[P}S5

(432) "VY`iWDPh`iR # T M x XYPV “ j AP N _ h[P s  _ Z s h

(433) _ RTSY`iS^X _ \ P}SY_ SYP"RIXU`iM sys |X TVYPx P _ x MOs VYXUS‡  j^S XYAVUZP

(434) XYXUVZAMOVYRTP8SY NQ` XY„XY`iP"R Vq MdRT! ht# \ ‹ VYP SU*rMZTXYP"P Rsys

(435) `yXY P MORTj hkAM `fS S `yR

(436) s Z~SYh[`yXYP` SeR `iN \xDX_ AVYXUP MdSURIMX XUP `fSYSY`yZAXYP PS s `ymrPtSY` q RTM s x~_ s _exD_ _ _ sis  XY j V APh[Zx

(437) "MOP X  S Ne_ \cP|X Ah[P`fS^X SY` qVYXYRT` M sR XUX VUM g X P As P`yR SYq ` X RT_ M XlAWAP Z[VYX P,

(438) XPA` P g P"N|V EMO`iRj AP V MOW XYN P"N _ S x `fS APXAVYP"P V ` sys ZT`iRTR[h ˆ _ _ _ q s x _ s q _ VUP+_TP,

(439) XY` _ R _  j AP VUP

(440) P` g P"V,n`yR

(441) s Z~h[`yR q X AP MdRrXUP"RAR~M . j T`iS

(442) TM XUP"V` XYVUPMOX X TP h[` 1DPVYPRrX `iSUS^ZTPSpMdRTh<X AP X AP _ V RAPPh[P}h X _ ZTRTh[P"V S^XUMOR~h. P}M/

(443)  x V _ W x s P"N `iRksisX AP \ _rsysi_ `iR q M  .

(444) .  HnBTz>. . S^XUMdlRTHh X A P SY` 6q >-RT6M @s HnS^9 XYVUZ

(445) j XUZA_ VUW~P/P xDMd_ W  s PPVX _ MdRTN h _ hA\ VYP P s *rX ZTTP"P R

(446) !  #  ‹ PSYSY` q `ih[RTP}M S„s nX `AX`fS`fSnX RTAPP

(447) P}N SYSU_ MOS^VX `yNX _ xDZA_ RTVYXUh[MdPRrV^Xˆ . `fSUS^ZAP `iS-X AP VYP,

(448) P"` g PV-MORTh.XAP

(449) _ VUVYP s MOX _ V~XTMX x V _ hAZ

(450) P}B S X AP7

(451) _ VYVUP s MXU` _ R\ ZAR

(452) XY` _ R j AP}S^P x MOVYXUSMOVUPh[`fS5

(453) "ZTSYSYPht`iR3‹[P

(454) XU` _ Rk  “pX _dq P"X APV ` X _ X TP"VaMdS x P

(455) X S _ \lX AP ! # ‹tS5[S XUP"N  ØcSaX AP SY` q RTM s XYV M g P s S\ V _ N)XAP SUMXUP sis `yXYPpX _ X AP VYP,

(456) P"` g PV~` X ` sis  xMdVYMdlPcSUHS.N X >[A@}hAV 9FP_ Z PB~q hk6  MdlXS„AHIh[P zP H s MMQdP"`yV RtS X _ A\„P X SYA` P RTMOM XYN S _ S MOx X A PLVYP o  !. PP"RAP"PV,VUdM `isyRts 3X XAA`fSP|X P"AVUP}V S^_ `fVUS ScX `iARrP XUV P+_ 1 h[PZ

(457) 

(458) XUPS h \vAX PAVYPP MOXYN _ S _ x APs VYP MOVUP

(459) _ s R~S^`fh[P"VUPhkMdS„q RAP qds s ` q `yx W s PMdSMe_ VUPSYgZ s X _ \vX TP hA`iS

(460) ZTSUSY` _ Rt`iR ‹[P

(461) XU` _ _ Rk   ØZTSYP\ Z X \ Vh[PS

(462) VU`yWT`yR X TP V M MOXY` R \-X APSY` RTM M\ XUP"V `y X T>AMrSCXYClV HnM = g P 9 s P}B-h GlXHnA=:V 6 _ Z q  XAPMOs XYN _I__rSs x _APVYPMOR~h `fSVUq P+TP,

(463) XUxPh|_dMx XXq AP q_ V _ _ZARTh0O`fSXq APX s TP _ V _SYZ\

(464)

(465)  TMOMdRTS„RA\?P Mrs h[N `yR _ hA P ‹ns S P,

(466) XY j ` AR3`fSL X  A’eP `i_ SV5h[Ph[``sy

(467) "s MOM XYP}s S h _ X W~Pc

(468) RATPMO

(469) "RAPRTSUSYP MdV5N  h[AP P"S R  XYVUPMOXY`iR q _ X AP"VSYZAW  P

(470) XUS q _ _ s _ s  GSMOVUPc N  _ h[6}8?P Ds PClh >A=:6‰ŠXXY‰ŽZARFVURT‹nS P,

(471) _ XUZA` _X„R X _  W~ &PvN Mt_ hAVU`iP S

(472) 

(473) ZT_ SUR SYg` _ P"R<RA`i`fP"S RIXAP X s_ h h[_ P}R S5

(474) "VY`i_ W~ P VUP+~B-PGl

(475) XUHnP=:h 8?C! # z‹tH S^` Hnq €dR~@M Hns  XAPVUP

(476) P` g PhkS^` q R~M s `yRkXUP"VUNQS _ \ xD_ „P"V,nMrSM|S^ZTN _ \N|MOR%

(477) _ VYVUP s MXU` _ R|\ ZAR

(478) XY` _ RTS  j

(479) "M

(480) "Z MOXYPQX AP

(481) VYVUP MXU` R \ ZAR

(482) XY` R \X AP|VUPˆ  ~Pl

(483) XUH PhQ8:SY6"` q @}RT>[M@8:s €X Tz>APGlVYP,>A

(484) z P"` H g wP}h ;>[xD@_ 8: B~PC VLMdSM._ \ ZARs

(485) XY` s _ R _ \ h[P s M_\ V _ s N X_ APah[`iVYP,

(486) X _ SY` q _ RTM s NpZ~S X WDP hAPXYPVYNQ`iRAPh  j T`iS

(487) "MOR3WDPph RAP W%kZTS^`iR X APpWA`fS^XUMXU`.

(488) VUMrhAMOVP *rZ~MXY` R \ V N)VUMrhAMOV XAP _ V5 Ø \ ZAV^X AP"V`yR g P}S XU` q MXU` _ R _ _ \lX A`fS

(489) MORkq W~P \ _ ZARThk`yR ‹nP,

(490) XU` _ R     _ _ j APtN S Xeh[`29

(491) "Z X MdV^X X

(492) M

(493) Z MXUP `yRFX APtVUMrhAMOV P *IZTMXU` R. `ftzSXBDA;lPpCVUP+G ~Pz{

(494) H XU` _ HnR €O@_ 8:\B~X C TP SY` q RTM s MO_ XXAP q V _ ZTs RThx a‹nP g _ P"V M s-s x MOVs MONQPXUP"V S

(495) _ RrXUVY`iWAZ[XUPX _ X _AP VUP+~P

(496) XUPh x~_ „P"V,nP  q rX APMXYXYPRIZ~MXY` _ Rt`yRtX TP q V _ ZARTh MdRTh X AP S5

(497) MX^XUP"VU`yR q _ \-X AP SY` q RTM s xD _ T„`.

(498) P" V.`f`ySR h hA`2RA1 P P"VU`iP"R RIX‹nPh[

(499) `yXYVU` P

(500) R3XY` _ RT S  j A`fS

(501) _ N xAs PK3`iSUSYZAP ~MdSX _ WDPePKAMONQ`iRAPh X  _ V _ Z q  s / _ _ Ø

(502) NeN R V W P"N7`iRFVUMrh[`

(503) NeN ZARA`

(504) "MOXY` RTS S [S^XYP"N|S `iSp\?MdhA`yR   A`

(505)  `fSe>AMdGhA8?Ch[VU PSUSYPh `i_RE‹nP,

(506) _ XY` _ Rx _ ‘s  j APVYPkMOVU_ P SY_P g PVUM s X3 x PS _ _ \\?MdhA`yR q h[P x P"R~h[`yR qq _ RFX AP

(507) ~MOV M/

(508) XUP"VU`iS^XY`

(509) "S _ \aX AP

(510) TMORARTP s LP  q `y\X TP q V _ ZARTh \ P}MXYZTVYP}S s MOV q P g MdVY`fMXU` _ RTS _ V X AP S x P"Ph  A`

(511) <X AP MdP"V _dxAs MORAPpXYV M g P s S `yX  |j AP|N|MO`iR P+1 P

(512) X _ \ \?Mrh[`yR q ` sis W~P MkV MOR[ˆ h _ N s  g MdV5n`iR q SY` q RTM s X AP MON xAs `yXYZTh[PMdRTh x ~MdSYP` sys WDP TM g PcMrS„S^X _

(513) TMrS XU`.

(514) g MOVU`iMdW s P}S  o  P PVOh[ZTP X X AP

(515) N PKpRTMOXYZAVUP \~\?Mdh[`iR OX APVYP$` R  W~PM h[`fS5

(516) "ZTSUS^` _ RQMOW _ Z[X XA_ P x V g _ W s P"N)MORT_ hk`yXa`iS_ R _ XaxAs `yN xAs P"NQPRrXU_Phk`iRtX Aq P SY`yN Z s MOXY` _sysARk_ N s _ hAP s  5_t\LC X @THnPeCMdClRr>AXU6 P"RAR~ j M TP„

(517) _ VUg PP"

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References

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