+VGTCVKXG ,QKPV 1RVKOKCVKQP QH 6TCPUOKV4GEGKXG (TGSWGPE[QOCKP
'SWCNKCVKQP KP 5KPING %CTTKGT 9KTGNGUU %QOOWPKECVKQP 5[UVGOU...
FDXVHG E
IUHTXHQFVHOHFWLYH IDGLQJ VHYHUHO GHJUDGHV ELW HUURU UDWH %(5
SHUIRUPDQFH $V D VROXWLRQ
WR RYHUFRPH WKH HIIHFW RI IUHTXHQFVHOHFWLYH IDGLQJ 2UWKRJRQDO )UHTXHQF 'LYLVLRQ
0XOWLSOH[LQJ 2)'0
KDV EHHQ FRQVLGHUHG +RZHYHU 2)'0 VVWHP KDV D SUREOHP WKDW WKH
3HDN WR $YHUDJH 3RZHU 5DWLR 3$35
EHFRPHV KLJK DV WKH QXPEHU RI VXEFDUULHUV LQFUHDVHV
$V DQ DOWHUQDWLYH PHWKRG WR VROYH WKH DERYH SUREOHPV 6LQJOH DUULHU WUD...
KDV EHHQ LQYHVWLJDWHG ,Q WKLV VVWHP D ORZ
3$35 LV DFKLHYHG LQ FRQWUDVW WR WKH 2)'0 VVWHP DQG WKH UHFHLYHG VLJQDO SDVVLQJ W...
FULWHULRQ +HQFH %(5 SHUIRUPDQFH RI 6)'( VVWHP
ZLWKRXW HUURU FRUUHFWLRQ FRGLQJ LV LPSURYHG E REWDLQLQJ WKH GLYHUVLW HIIHFW
...
EDVHG RQ 006( FULWHULRQ ZKHUH ERWK WUDQVPLW DQG UHFHLYH )'(
ZHLJKWV DUH LWHUDWLYHO GHWHUPLQHG ZLWK D UHFXUVLYH DOJRULWKP V...
LV
/QDKNG CPF 9KTGNGUU %QOOWPKECVKQPU 2J[UKECN NC[GT FGXGNQROGPV CPF KORNGOGPVCVKQP
NQRZQ WR WKH WUDQVPLWWHU ,Q WKLV VVWHP WK...
Nächste SlideShare
Wird geladen in …5
×

Iterative Joint Optimization of TransmitReceive Frequency-Domain Equalization in Single Carrier Wireless Communication Systems

148 Aufrufe

Veröffentlicht am

0 Kommentare
0 Gefällt mir
Statistik
Notizen
  • Als Erste(r) kommentieren

  • Gehören Sie zu den Ersten, denen das gefällt!

Keine Downloads
Aufrufe
Aufrufe insgesamt
148
Auf SlideShare
0
Aus Einbettungen
0
Anzahl an Einbettungen
10
Aktionen
Geteilt
0
Downloads
1
Kommentare
0
Gefällt mir
0
Einbettungen 0
Keine Einbettungen

Keine Notizen für die Folie

Iterative Joint Optimization of TransmitReceive Frequency-Domain Equalization in Single Carrier Wireless Communication Systems

  1. 1. +VGTCVKXG ,QKPV 1RVKOKCVKQP QH 6TCPUOKV4GEGKXG (TGSWGPE[QOCKP 'SWCNKCVKQP KP 5KPING %CTTKGT 9KTGNGUU %QOOWPKECVKQP 5[UVGOU : +VGTCVKXG ,QKPV 1RVKOKCVKQP QH 6TCPUOKV4GEGKXG (TGSWGPE[QOCKP 'SWCNKCVKQP KP 5KPING %CTTKGT 9KTGNGUU %QOOWPKECVKQP 5[UVGOU ;LDRJHQJ XDQ 2VDPX 0XWD DQG RVKLKLNR $NDLZD .XVKX 8QLYHUVLW -DSDQ +PVTQFWEVKQP ,Q UHFHQW HDUV KLJK GDWDUDWH ZLUHOHVV WUDQVPLVVLRQ VVWHP VXFK DV ,(((H KDV UHFHLYHG LQFUHDVHG DWWHQWLRQ ,Q VXFK D VVWHP LQWHUVPERO LQWHUIHUHQFH ,6,
  2. 2. FDXVHG E IUHTXHQFVHOHFWLYH IDGLQJ VHYHUHO GHJUDGHV ELW HUURU UDWH %(5
  3. 3. SHUIRUPDQFH $V D VROXWLRQ WR RYHUFRPH WKH HIIHFW RI IUHTXHQFVHOHFWLYH IDGLQJ 2UWKRJRQDO )UHTXHQF 'LYLVLRQ 0XOWLSOH[LQJ 2)'0
  4. 4. KDV EHHQ FRQVLGHUHG +RZHYHU 2)'0 VVWHP KDV D SUREOHP WKDW WKH 3HDN WR $YHUDJH 3RZHU 5DWLR 3$35
  5. 5. EHFRPHV KLJK DV WKH QXPEHU RI VXEFDUULHUV LQFUHDVHV $V DQ DOWHUQDWLYH PHWKRG WR VROYH WKH DERYH SUREOHPV 6LQJOH DUULHU WUDQVPLVVLRQ ZLWK )UHTXHQF'RPDLQ (TXDOL]DWLRQ 6)'(
  6. 6. KDV EHHQ LQYHVWLJDWHG ,Q WKLV VVWHP D ORZ 3$35 LV DFKLHYHG LQ FRQWUDVW WR WKH 2)'0 VVWHP DQG WKH UHFHLYHG VLJQDO SDVVLQJ WKURXJK IUHTXHQFVHOHFWLYH IDGLQJ FKDQQHO LV HTXDOL]HG ZLWK IUHTXHQFGRPDLQ SURFHVVLQJ EDVHG RQ PLQLPXP PHDQ VTXDUH HUURU 006(
  7. 7. FULWHULRQ +HQFH %(5 SHUIRUPDQFH RI 6)'( VVWHP ZLWKRXW HUURU FRUUHFWLRQ FRGLQJ LV LPSURYHG E REWDLQLQJ WKH GLYHUVLW HIIHFW ,Q WKLV VWXG DV DQ DOWHUQDWLYH PHWKRG WR LPSURYH %(5 SHUIRUPDQFH RI 6)'( VVWHP ZH SURSRVH DQ LWHUDWLYH RSWLPL]DWLRQ PHWKRG RI WUDQVPLWUHFHLYH IUHTXHQF GRPDLQ HTXDOL]DWLRQ 75)'(
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
  9. 9. LV
  10. 10. /QDKNG CPF 9KTGNGUU %QOOWPKECVKQPU 2J[UKECN NC[GT FGXGNQROGPV CPF KORNGOGPVCVKQP NQRZQ WR WKH WUDQVPLWWHU ,Q WKLV VVWHP WKH WUDQVPLWWHU QHHGV WR NQRZ FKDQQHO VWDWH LQIRUPDWLRQ 6,
  11. 11. PHDVXUHG DW WKH UHFHLYHU VLGH `^5 `^; `Ö^; `^9 9LUWXDO KDQQHO 5HFHLYHU `Ö^9 `^ W: `Ö^+ `^ U: `^ U: ZHLJKW FRQWURO н Ͳ H 7UDQVPLWWHU `^; c `^+ 5HFHLYHU )LJ %ORFN GLDJUDP RI WKH SURSRVHG VVWHP ZLWK WUDQVPLWUHFHLYH IUHTXHQFGRPDLQ HTXDOL]DWLRQ ZKHUH YLUWXDO FKDQQHO DQG YLUWXDO UHFHLYHU DUH HTXLSSHG DW WKH WUDQVPLWWHU )RU VLPSOLFLW RI H[SODQDWLRQ IUHTXHQFGRPDLQ VLJQDO H[SUHVVLRQV DUH XVHG LQ WKH IROORZLQJ GLVFXVVLRQ $V VKRZQ LQ )LJXUH WKH UHFHLYHG VLJQDO YHFWRU DW WKH YLUWXDO UHFHLYHU LV H[SUHVVHG DV 9;:+5 ØØØ G W G
  12. 12. ZKHUH VXIIL[ G GHQRWHV GLDJRQDO PDWUL[ ^ `++ ØGLDJØ G DQG ^ `W G W GLDJ ::
  13. 13. 7 1N +Ø+Ø+ØØ + LV WKH HVWLPDWHG FKDQQHO WUDQVIHU IXQFWLRQ YHFWRU 7 ; GHQRWHV WKH WUDQVSRVH RI YHFWRU ;
  14. 14. 7 1N ;;; ;
  15. 15. 7 W1WNWW ::: : DQG
  16. 16. 7 1N 9Ø9Ø9ØØ 9 DUH WUDQVPLW VLJQDO YHFWRU WUDQVPLW HTXDOL]HU ZHLJKW YHFWRU DQG YLUWXDO QRLVH YHFWRU UHVSHFWLYHO $W WKH YLUWXDO UHFHLYHU WKH VLJQDO SDVVLQJ WKURXJK WKH UHFHLYH HTXDOL]HU LV JLYHQ DV
  17. 17. 9;:+:5:= ØØØØØØ G W GG U G U
  18. 18. ZKHUH
  19. 19. 7 1N =Ø=Ø=ØØ = DQG ^ `ØGLDJØ U G ::
  20. 20. 7 U1UNUU :Ø:Ø:ØØ : GHQRWHV YLUWXDO UHFHLYH HTXDOL]HU ZHLJKW YHFWRU 7KH HUURU IXQFWLRQ LV GHILQHG DV ¦ ¦ 1 N NN 1 N N =Ø;H(
  21. 21. ,Q (T
  22. 22. WKH HUURU VLJQDO FRUUHVSRQGLQJ WR WKH NWK IUHTXHQF FRPSRQHQW LV GHILQHG DV
  23. 23. NNUNNUNNNNN 9Ø;:+Ø:Ø;=Ø;H
  24. 24. +VGTCVKXG ,QKPV 1RVKOKCVKQP QH 6TCPUOKV4GEGKXG (TGSWGPE[QOCKP 'SWCNKCVKQP KP 5KPING %CTTKGT 9KTGNGUU %QOOWPKECVKQP 5[UVGOU ZKHUH ;N DQG N9Ø GHQRWH WKH NWK IUHTXHQF FRPSRQHQW RI WUDQVPLW VLJQDO YHFWRU DQG YLUWXDO QRLVH YHFWRU UHVSHFWLYHO +N LV WKH NWK FRPSRQHQW RI IUHTXHQF WUDQVIHU IXQFWLRQ :WN DQG UN:Ø DUH WKH NWK ZHLJKW RI WUDQVPLW HTXDOL]HU DQG YLUWXDO UHFHLYH HTXDOL]HU UHVSHFWLYHO 7KH REMHFWLYH LV WR PLQLPL]H WKH HUURU IXQFWLRQ ( LQ (T
  25. 25. )URP (T
  26. 26. IUHTXHQFGRPDLQ VTXDUH HUURU VLJQDO LV JLYHQ DV _HN_ ,Q RUGHU WR PLQLPL]H ( ZLWK UHVSHFW WR ERWK :WN DQG UN:Ø GHULYDWLRQV RI _HN_ ZLWK UHVSHFW WR ERWK :WN DQG UN:Ø DUH VHW WR EH ]HUR 7R VROYH WKLV SUREOHP ZH HPSOR WKH IROORZLQJ LWHUDWLYH DOJRULWKP ZKLFK VLPXOWDQHRXVO XSGDWHV WZR ZHLJKW YHFWRU W: DQG U Ø: UHVSHFWLYHO )LUVW ZH WU WR ILQG WKH WUDQVPLW HTXDOL]HU ZHLJKW :WN E PLQLPL]LQJ WKH VTXDUH HUURU RI _HN_ LQ (T
  27. 27. ZLWK UHVSHFW WR :WN 7KH VTXDUH HUURU VLJQDO HN FRUUHVSRQGLQJ WR WKH NWK IUHTXHQF FRPSRQHQW LV JLYHQ DV NNWNNUNN N
  28. 28. 9;:+:;H
  29. 29. 7KH GHULYDWLYH RI (T
  30. 30. ZLWK UHVSHFW WR :WN LV JLYHQ DV NNNUN N: H
  31. 31. ;+Ø:ØHWN ’
  32. 32. ZKHUH [ ZZZ M w w w w ’ Z Z[MZ
  33. 33. 7KXV WKH UHFXUVLYH HTXDWLRQ IRU LWHUDWLYH DOJRULWKP LV REWDLQHG DV (
  34. 34. ;+Ø:Ø
  35. 35. Q:
  36. 36. Q: NNUNWNWN P
  37. 37. ZKHUH P LV VWHS VL]H WR DGMXVW FRQYHUJHQFH VSHHG % H[WHQGLQJ WKH DERYH GLVFXVVLRQ WR WKH YHFWRU H[SUHVVLRQ ZH FDQ REWDLQ (
  38. 38. ØØ
  39. 39. Q
  40. 40. Q GG UWW P ;+:::
  41. 41. ZKHUH WKH QRUP RI WKH WUDQVPLW HTXDOL]HU ZHLJKW YHFWRU LV QRUPDOL]HG WR D FRQVWDQW YDOXH LQ RUGHU WR NHHS WKH WRWDO DYHUDJH WUDQVPLW SRZHU WR EH FRQVWDQW 6LPLODUO WKH UHFHLYH HTXDOL]HU ZHLJKW YHFWRU LV GHWHUPLQHG E PLQLPL]LQJ WKH VTXDUH HUURU RI H LQ (T
  42. 42. ZLWK UHVSHFW WR U Ø: 7KH HUURU VLJQDO YHFWRU LV GHILQHG DV 5:;H ØØ G U
  43. 43. ZKHUH
  44. 44. 7 1N 5Ø5Ø5ØØ 5 LV WKH UHFHLYH VLJQDO YHFWRU DW WKH YLUWXDO UHFHLYHU 7KXV WKH VTXDUH HUURU RI WKH NWK FRPSRQHQW RI WKH HUURU YHFWRU LV JLYHQ DV NUNN N 5Ø:Ø;H
  45. 45. % GLIIHUHQWLDWLQJ (T
  46. 46. ZLWK UHVSHFW WR WKH NWK ZHLJKW UN:Ø ZH FDQ REWDLQ NN N:Ø H5ØH UN ’
  47. 47. 7KXV WKH XSGDWLQJ HTXDWLRQ IRU WKH UHFHLYH ZHLJKW YHFWRU U Ø: DW WKH QWK LWHUDWLRQ LV JLYHQ DV
  48. 48.
  49. 49. Q
  50. 50. Q UU P 5::
  51. 51. :LWK WKH SURSRVHG LWHUDWLYH DOJRULWKP WUDQVPLW DQG UHFHLYH HTXDOL]HU ZHLJKWV W: DQG U Ø: DUH GHWHUPLQHG EDVHG RQ UHFXUVLYH HTXDWLRQV LQ (TV
  52. 52. DQG
  53. 53. XQWLO ZHLJKW YHFWRUV DUH RSWLPL]HG LH WKH VTXDUH HUURU RI H LV PLQLPL]HG $IWHU RSWLPXP ZHLJKWV DUH GHWHUPLQHG
  54. 54. /QDKNG CPF 9KTGNGUU %QOOWPKECVKQPU 2J[UKECN NC[GT FGXGNQROGPV CPF KORNGOGPVCVKQP WKH VLJQDO ZHLJKWHG E W: LV WUDQVPLWWHG WR UDGLR FKDQQHO $W WKH UHFHLYHU WKH UHFHLYH HTXDOL]HU ZHLJKW YHFWRU U Ø: LV GHWHUPLQHG E REVHUYLQJ D UHFHLYHG SLORW VHTXHQFH 'ZVGPUKQP VQ FGEKUKQPHGGFDCEM GSWCNKCVKQP ECUG @QU 5 N5 IZ15 : IZ1: N: 'HFLVLRQ 7 7 FIE1F † x x x x x x )UHTXHQFGRPDLQ )HHGIRUZDUG )LOWHU 7LPHGRPDLQ )HHGEDFN )LOWHU † @a Q[@Q[IZ @Q[IE ))7 ,))7 6PERO UDWH VDPSOLQJ )LJ %ORFN GLDJUDP RI WKH SURSRVHG VVWHP ZLWK GHFLVLRQ IHHGEDFN HTXDOL]HU ZKHUH YLUWXDO FKDQQHO DQG YLUWXDO UHFHLYHU DUH HTXLSSHG DW WKH WUDQVPLWWHU +Ö † ')( 9Ö )UHTXHQFGRPDLQ /LQHDU (TXDOL]HU 9LUWXDO KDQQHO DQG 9LUWXDO 5HFHLYHU ')( $:*1 † 9 5HFHLYHU 7UDQVPLWWHU )LJ 'HFLVLRQ IHHGEDFN HTXDOL]HU ZLWK IUHTXHQFGRPDLQ IHHGIRUZDUG ILOWHU 7KH SURSRVHG PHWKRG LV H[WHQGDEOH WR QRQOLQHDU HTXDOL]HUV VXFK DV GHFLVLRQ IHHGEDFN HTXDOL]HU ')(
  55. 55. ZKLFK RIIHUV EHWWHU HTXDOL]DWLRQ SHUIRUPDQFH WKDQ OLQHDU RQHV %ORFN GLDJUDP RI WKH VVWHP LV WKH VDPH DV WKDW LQ )LJXUH H[FHSW WKDW ')( LV XVHG DW ERWK YLUWXDO DQG UHDO UHFHLYHUV 7KH GHWDLOHG EORFN GLDJUDP RI ')( ZLWK IUHTXHQFGRPDLQ IHHGIRUZDUG ILOWHU DQG WLPHGRPDLQ IHHGEDFN ILOWHU LV VKRZQ LQ )LJXUH ZKHUH 1IZ DQG 1IE GHQRWH WKH
  56. 56. +VGTCVKXG ,QKPV 1RVKOKCVKQP QH 6TCPUOKV4GEGKXG (TGSWGPE[QOCKP 'SWCNKCVKQP KP 5KPING %CTTKGT 9KTGNGUU %QOOWPKECVKQP 5[UVGOU QXPEHU RI WDSV LQ IUHTXHQFGRPDLQ IHHGIRUZDUG ILOWHU DQG WLPHGRPDLQ IHHGEDFN ILOWHU UHVSHFWLYHO [IZQ@ DQG [IEQ@ GHQRWH WKH RXWSXW VLJQDOV RI IHHGIRUZDUG DQG IHHGEDFN ILOWHUV DW QWK WLPH LQVWDQW FO LV WKH OWK WDS FRHIILFLHQW RI IHHGEDFN ILOWHU ,Q )LJXUH ')( RXWSXW VLJQDO IRU WKH QWK VPERO LV JLYHQ DV @Q[@Q[@Q[a IEIZ
  57. 57. ZKHUH IHHGEDFN ILOWHU RXWSXW [IEQ@ LV H[SUHVVHG DV ¦ ! IE1 O IE
  58. 58. QOIE
  59. 59. 1Q[ØF@Q[
  60. 60. ZKHUH
  61. 61. Q[Ø GHQRWHV WKH QO WK GHFLGHG VPERO ,I D NQRZQ VHTXHQFH LV XVHG WR GHWHUPLQH WDS FRHIILFLHQWV WKH GHFLGHG VPERO
  62. 62. Q[Ø LQ (T
  63. 63. LV UHSODFHG ZLWK NQRZQ VPERO [QO
  64. 64. +HQFH DVVXPLQJ D NQRZQ WUDLQLQJ VHTXHQFH IHHGEDFN ILOWHU RXWSXW [IEQ@ LV H[SUHVVHG DV ¦ ! IE1 O IE
  65. 65. QOIE
  66. 66. 1Q[F@Q[
  67. 67. % WDNLQJ )RXULHU WUDQVIRUP RI (T
  68. 68. ZH FDQ REWDLQ IUHTXHQFGRPDLQ H[SUHVVLRQ RI WKH IHHGEDFN ILOWHU RXWSXW WKH NWK IUHTXHQF FRPSRQHQW RI IHHGEDFN VLJQDO LV H[SUHVVHG DV
  69. 69. 1Q4FH;F@Q[ IE 1 O ONO 1 O M NOIE IEIE 1 NO !¦¦ S
  70. 70. ZKHUH 1 NO M NON H;4 S { GHQRWH WKH NWK IUHTXHQF FRPSRQHQW RI O7 WLPHGHODHG VLJQDO LQ IHHGEDFN ILOWHU 7R GHWHUPLQH RSWLPXP ZHLJKW YHFWRUV RI WUDQVPLW DQG UHFHLYH HTXDOL]HUV ZH FDOFXODWH WKH HUURU VLJQDO DW WKH YLUWXDO UHFHLYHU 6LPLODUO WR WKH SUHYLRXV GLVFXVVLRQ WKH VTXDUH HUURU VLJQDO FRUUHVSRQGLQJ WR WKH NWK IUHTXHQF FRPSRQHQW DW WKH YLUWXDO UHFHLYHU LV GHILQHG DV NIENIZN N ;Ø;Ø;H
  71. 71. ZKHUH WKH NWK IUHTXHQF FRPSRQHQW RI WKH YLUWXDO IHHGIRUZDUG ILOWHU RXWSXW NIZ;Ø LV H[SUHVVHG DV
  72. 72. NNWNNUNNUNNIZ 9Ø;:+Ø:Ø5Ø:Ø;Ø
  73. 73. ZKHUH NNWNNN 9Ø;:+Ø5Ø LV WKH NWK IUHTXHQF FRPSRQHQW RI WKH UHFHLYHG VLJQDO DW WKH YLUWXDO UHFHLYHU 7KH GHULYDWLYH RI (T
  74. 74. ZLWK UHVSHFW WR :WN LV JLYHQ DV
  75. 75. NNNUN N: H;+Ø:ØHWN ’
  76. 76. 7KXV WKH UHFXUVLYH HTXDWLRQ IRU LWHUDWLYH DOJRULWKP LV JLYHQ DV
  77. 77. (;+Ø:Ø
  78. 78. Q:
  79. 79. Q: NNUNWNWN P
  80. 80. 6LPLODUO WKH UHFXUVLYH HTXDWLRQV IRU UN:Ø DQG OFØ DUH REWDLQHG E WDNLQJ GHULYDWLYH RI (T
  81. 81. ZLWK UHVSHFW WR UN:Ø DQG OFØ UHVSHFWLYHO
  82. 82. (5Ø
  83. 83. Q:Ø
  84. 84. Q:Ø NUNUN P
  85. 85. H4 P OOO Ø
  86. 86. QFØ
  87. 87. QFØ
  88. 88. /QDKNG CPF 9KTGNGUU %QOOWPKECVKQPU 2J[UKECN NC[GT FGXGNQROGPV CPF KORNGOGPVCVKQP ZKHUH
  89. 89. O1ONOO 4Ø4Ø4ØØ 4 LV WKH IUHTXHQFGRPDLQ YHFWRU H[SUHVVLRQ RI O7 WLPH GHODHG IHHGEDFN VLJQDO
  90. 90. 7 1N HHH H LV WKH HUURU VLJQDO YHFWRU DQG P LV D VWHS VL]H % H[WHQGLQJ WKH DERYH HTXDWLRQV WR WKH YHFWRU H[SUHVVLRQ ZH FDQ REWDLQ (
  91. 91. ØØ
  92. 92. Q
  93. 93. Q GG UWW P ;+:::
  94. 94.
  95. 95. Q
  96. 96. Q UU P 5::
  97. 97. H4FF P Ø
  98. 98.
  99. 99.
  100. 100. ZKHUH
  101. 101. IE1N FØFØFØØ F GHQRWHV WKH IHHGEDFN WDS YHFWRU RI YLUWXDO ')( DQG
  102. 102. 7 1N IE ØØØØ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
  103. 103. LV DGGHG DW WKH UHFHLYHU )RU VLPSOLFLW LW LV DVVXPHG WKDW IUHTXHQF FKDQQHO WUDQVIHU IXQFWLRQ LV NQRZQ WR ERWK WUDQVPLWWHU DQG WKH UHFHLYHU 7UDQVPLWUHFHLYH HTXDOL]HU ZHLJKWV DUH GHWHUPLQHG ZLWK OHDVW PHDQ VTXDUH /06
  104. 104. DOJRULWKP ZKHUH VXIILFLHQW QXPEHU RI WUDLQLQJ VPEROV LV DVVXPHG IRU VLPSOLFLW ,Q WKLV VWXG ZH DOVR HYDOXDWH %(5 SHUIRUPDQFH RI YHFWRU FRGLQJ 9
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
  106. 106. DQG E
  107. 107. UHVSHFWLYHO 7 LV VPERO GXUDWLRQ ')( LV HPSORHG IRU ERWK WKH SURSRVHG DQG FRQYHQWLRQDO VVWHPV ZKHUH WKH QXPEHU RI IHHGEDFN WDSV LQ ')( LV VHW WR )RU FRPSDULVRQ SXUSRVH %(5 SHUIRUPDQFH RI WKH 6 VVWHP XVLQJ WKH FRQYHQWLRQDO UHFHLYH )'( ZLWK DQG ZLWKRXW GHFLVLRQIHHGEDFN ILOWHU LV DOVR VKRZQ %(5 SHUIRUPDQFH RI 9 ZLWK DGDSWLYH ELW DQG SRZHU ORDGLQJ LV DOVR VKRZQ ,Q )LJXUH LQ FDVH RI OLQHDU WUDQVPLWUHFHLYH HTXDOL]DWLRQ LH ZLWKRXW GHFLVLRQIHHGEDFN ILOWHU
  108. 108. %(5
  109. 109. +VGTCVKXG ,QKPV 1RVKOKCVKQP QH 6TCPUOKV4GEGKXG (TGSWGPE[QOCKP 'SWCNKCVKQP KP 5KPING %CTTKGT 9KTGNGUU %QOOWPKECVKQP 5[UVGOU SHUIRUPDQFH RI WKH 6 VVWHPV XVLQJ WKH SURSRVHG PHWKRG LV LPSURYHG E DERXW G% DW %(5 FRPSDUHG WR WKH FDVH RI WKH FRQYHQWLRQDO UHFHLYH )'( $YHUDJH%LW(UURU5DWH ( E 1 G%@ ZLWK UHFHLYH)'( ZR GHFLVLRQ IHHGEDFN ILOWHU ZR ')(
  110. 110. ZLWK SURSRVHG PHWKRG Z GHFLVLRQ IHHGEDFN ILOWHU ZR ')(
  111. 111. YHFWRU FRGLQJ ZLWK DGDSWLYH ELW DQG SRZHU ORDGLQJ D
  112. 112. W7 $YHUDJH%LW(UURU5DWH ( E 1 G%@ ZLWK UHFHLYH)'( ZR GHFLVLRQ IHHGEDFN ILOWHU ZR ')(
  113. 113. ZLWK SURSRVHG PHWKRG Z GHFLVLRQ IHHGEDFN ILOWHU ZR ')(
  114. 114. E
  115. 115. W7 )LJ %(5 SHUIRUPDQFH RI WKH 6 VVWHP XVLQJ WKH SURSRVHG PHWKRG DV D IXQFWLRQ RI (E1 ZKHUH QRUPDOL]HG GHOD VSUHDG YDOXHV LQ ILJXUHV D
  116. 116. DQG E
  117. 117. DUH W7 DQG W7
  118. 118. /QDKNG CPF 9KTGNGUU %QOOWPKECVKQPU 2J[UKECN NC[GT FGXGNQROGPV CPF KORNGOGPVCVKQP $YHUDJH%LW(UURU5DWH 7KH 1XPEHU RI 7DSV LQ 'HFLVLRQ)HHGEDFN )LOWHU ZLWK UHFHLYH)'( ZLWK SURSRVHG PHWKRG )LJ %(5 SHUIRUPDQFH RI WKH 6 VVWHP XVLQJ WKH SURSRVHG PHWKRG DV D IXQFWLRQ RI WKH QXPEHU RI IHHGEDFN WDSV LQ GHFLVLRQIHHGEDFN ILOWHU ZKHUH (E1 G% DQG QRUPDOL]HG GHOD VSUHDG LV W7 1RUPDOL]HG 'HOD 6SUHDG $YHUDJH%LW(UURU5DWH ZLWK UHFHLYH)'( ZLWK SURSRVHG PHWKRG ZR GHFLVLRQ IHHGEDFN ILOWHU ZR ')(
  119. 119. Z GHFLVLRQ IHHGEDFN ILOWHU ZR ')(
  120. 120. YHFWRU FRGLQJ ZLWK DGDSWLYH ELW DQG SRZHU ORDGLQJ )LJ %(5 SHUIRUPDQFH RI WKH 6 VVWHP XVLQJ WKH SURSRVHG PHWKRG DV D IXQFWLRQ RI QRUPDOL]HG GHOD VSUHDG ZKHUH (E1 LV VHW WR G% :KHQ GHFLVLRQIHHGEDFN ILOWHU LV DGRSWHG LQ ERWK VVWHPV WKH SURSRVHG VVWHP DFKLHYHV EHWWHU %(5 SHUIRUPDQFH WKDQ FDVH XVLQJ WKH FRQYHQWLRQDO RQH LQ ORZHU (E1 UHJLRQ 2Q WKH RWKHU KDQG LQ KLJKHU (E1 UHJLRQ LW FDQ EH VHHQ WKDW %(5 SHUIRUPDQFH RI WKH SURSRVHG
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
  122. 122. ZDV SURSRVHG IRU VLQJOH FDUULHU WUDQVPLVVLRQ VVWHPV ZKHUH ERWK WUDQVPLW DQG UHFHLYH )'( ZHLJKWV DUH LWHUDWLYHO GHWHUPLQHG ZLWK D UHFXUVLYH DOJRULWKP VR DV WR PLQLPL]H WKH HUURU VLJQDO DW D YLUWXDO UHFHLYHU :LWK FRPSXWHU VLPXODWLRQ LW LV FRQILUPHG WKDW WKH SURSRVHG WUDQVPLWUHFHLYH HTXDOL]DWLRQ PHWKRG DFKLHYHV EHWWHU %(5 SHUIRUPDQFH WKDQ WKDW RI WKH VVWHP XVLQJ WKH FRQYHQWLRQDO RQHV 4GHGTGPEGU ' )DOFRQHU 6 / $ULDYLVLWDNXO $%HQDPLQ6HHDU % (LGVRQ
  123. 123. )UHTXHQF 'RPDLQ (TXDOL]DWLRQ IRU 6LQJOH DUULHU %URDGEDQG :LUHOHVV 6VWHPV ,((( RPPXQ 0DJD]LQH SS ) $GDFKL ' *DUJ 6 7DNDRND . 7DNHGD
  124. 124. %URDGEDQG '0$ 7HFKQLTXH ,((( :LUHOHVV RPPXQLFDWLRQV QR SS ,((( 6WG H'
  125. 125. $LU ,QWHUIDFH IRU )L[HG DQG 0RELOH %URDGEDQG :LUHOHVV $FFHVV 6VWHPV - KXDQJ DQG 1 6ROOHQEHUJHU %HRQG *
  126. 126. ZLGHEDQG ZLUHOHVV GDWD DFFHVV EDVHG RQ 2)'0 DQG GQDPLF SDFNHW DVVLJQPHQW ,((( RPPXQ 0DJ YRO QR SS . %DQ HW DO
  127. 127. -RLQW RSWLPL]DWLRQ RI WUDQVPLWWHUUHFHLYHU ZLWK PXOWLSOH WUDQVPLWUHFHLYH DQWHQQDV LQ EDQGOLPLWHG FKDQQHOV ,(,( 7UDQV RPPXQ YRO (% QR SS
  128. 128. /QDKNG CPF 9KTGNGUU %QOOWPKECVKQPU 2J[UKECN NC[GT FGXGNQROGPV CPF KORNGOGPVCVKQP 6 .DVWXULD
  129. 129. 9HFWRU FRGLQJ IRU SDUWLDO UHVSRQVH FKDQQHOV ,((( 7UDQV ,QIRU 7KHRU YRO QR 5 YDQ 1HH 5 3UDVDG 2)'0 IRU ZLUHOHVV PXOWLPHGLD FRPPXQLFDWLRQV $UWHFK +RXVH $NDLZD ,QWURGXFWLRQ WR GLJLWDO PRELOH FRPPXQLFDWLRQ -RKQ :LOH 6RQV ,QF

×