41 3 Vol.41No.3 2012 6 ActaGeodaeticaetCartographicaSinica Jun.2012 ZHU HuizhongLIUJingnanTANG Weimingetal.TheAlgorithmofSingle-epochIntegerAmbiguityResolutionbetweenLong-range NetworkRTKBaseStations[J].ActaGeodaeticaetCartographicaSinica2012413):359-365.. RTK [J]. 2012413):359-365.) RTK 1 1 1 2 1. 430079;2. 100830 The Algorithm of Single-epochInteger Ambiguity Resolution between Long-range NetworkRTKBaseStations ZHUHuizhong 1 LIUJingnan 1 TANG Weiming 1 GAOXingwei 2 1.GNSSResearchCenterWuhanUniversityWuhan430079China;2.ChineseAcademyofSurveyingandMappingBeijing100830China Abstract:Thealgorithmofintegerambiguityresolutionbetweenlong-range typicaly100~200km)basestationsat single-epochisproposed.thewide-laneambiguitiesaredeterminedbylinearrelationshipbetweencarierphase ambiguities.inordertoreducetheresidualsofnon-divergenterorincarierphaseambiguitiesresolutionanew ideaofreselectingbasesatelitebyelevationisused.thencandidatesofdoublefrequencycarierphaseambiguities canbeselectedbyfixeddoublediferencewide-laneambiguities.thedoublediferencecarierphaseambiguities aresearchedandfixedthroughthecomputationofnon-divergenteror sresidual.thisalgorithm wastestedand theadvantagesofthismethodarerapidstable.thisalgorithm avoidstheefectofcycleclips.thedoublediference integerambiguitybetweenlong-rangebasestationscanbefixedatsingle-epoch. Keywords:networkRTK;long-range;single-epoch;doublediferenceambiguity;linearrelationship : 100~200km) RTK : RTK; ; ; ; :P228 :A :1001-15952012)03-0359-07 : 41104024); 863 2011AA120503863); 7771017;7771202;7771020;7771120); 201103) 1 ; [3] RTK RTK ; [4] RTK RTK RTK 100~200km [1-15] [8 14]
360 June2012Vol.41No.3AGCS htp: xb.sinomaps.com 2 l I = Φ2 - Φ1-2-f 2 1 A B ωi = 2-f 2 1 [5] p cf ξ q 2 + ε1 - ε2 ) 1 c c Φ1 = ρ - c 9) I 0 N 1 - + 2 ξ ; ωi T + ε1 1) 7) c Φ2 = ρ - c N2 I N1 0 N 2 - + 2 k I =/ =60/77 T + ε2 2) 0.77922 1 2 3 ;Φ ;f ; ρ ;c 3.1 ;I 0 3.1.1 );T ; P N ;ε Melbourne-Wübbena T M-W ) 11) MW [16-17] = P 1 + P 2 ) - 1) 2) +f 2 ) I 0 η [18-20] T c Φ1 -c Φ2 ) 10) -f 2 ) η = T - T 3) N W = -f 2 ) MW 11) T c P1 P2 ; MW M-W ; N W N - 1 l - ω 4) 1) 2) M-W N 2 = l = ω = 2-f 2 1 c Φ2 - Φ1-2-f 2 1 c ρ + T ) 5) η + 1 ε1 -f 2 2 c ε2 6) ρ 4) l ω 4) N 2 N 1 4) :k= N 1 60 /=77/60=1.283 2) 1) T N 2 77 17 N 2 = N 1 - l I - 1.283 ωi 7) cf 2 1 I 0 8) 3.1.2 7)
3 : RTK 361 14/11 1.2727 N 11 1 N 2 2 14 14- B 3 11=3 1) 2) N 1 N 2 B B 3 1 B B 12) I 1 B I 1 I W = ρ - c N W - c ΦW + fw fw T + εw 12) 1) 2) W 3.1.3 13) I 0 =-f 3 1 W 13) 12) 13) A B C 7) N W + N W BC + N W CA =0 14) 14) 3 3 I 1 I 2 I 3 1 3.2 1 Fig.1 The wide-lane ambiguity searching between long-rangebasestationsatsingleepoch L1 L2 1 B 4) I 1 I 2 I 3 4) 7) N 1 3 N 2 : 1 7)
362 June2012Vol.41No.3AGCS htp: xb.sinomaps.com 3.2.1 T 16) T T ξ T - T =ξ ξ <δ 18) δ 15) ξ 3.2.3 A B ZTD 0 A ZTD 0 B; ZTD A ZTD B A B mfa p) mfbp) mfaq) mfbq) p ;q N 1 + N 2 + N 1 BC + N 2 BC + N 1 CA =0 N 2 CA =0 19) 20) ξ p)-mfaq ) mfa ξ ZTD A - mfbp)-mfbq ) ξ ZTD B 15) ξ ZTD A =ZTD A-ZTD 0 A; ξ ZTD B =ZTD B-ZTD 0 B 4 2006-04-05 ξ Dtrop 1h 10 1s 4) ξ Dtrop 3.1 3 BASE1 BASE2 BASE3 2 3.2.2 1) 2) l= T = c l - f 2 2-f 2 1 N 2 - Φ1 + N 1 + ρ 16) Φ2 - ω 17) 4) 0.5m 200km 5mm 1.5~2m 100~200km PRN24 PRN4) 1 2 Fig.2 Informationofbaselines
3 : RTK 363 M-W 11) 1 3 :-80 100-20 3.1.2 4 1 Fig.4 Residualatinitialepoch 1 1 4 m; 2 2 B PRN4 1 2 14) 1 PRN24-4 PRN4 Tab.1 Wide-laneDD-AmbiguitycandidatesofPRN24-4 BASE1- BASE2 BASE2- BASE3 BASE3- BASE1-82-2.2/ 117.8) 98-2.1/ 116.2) -23-3.1/ 182.1) -800.09/ 50.4) 1000.14/ 50.3) -200.23/ 51.2) -782.3/ 119.9) 1022.4/ 121.6) -173.6/ 228.4) PRN4 PRN4 3 PRN24 5 BASE1-BASE2 1 6 7 : 17-424-17 2-24 23-2 13-23 4 16) 18) 19) PRN4 PRN24 3 Fig.3 Changesofsateliteselevationangle 5 Fig.5 BASE1-BASE2PRN24-PRN4 Residualofnon-dispersiveerrorof PRN24- PRN4onbaselineBASE1-BASE2
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