CN105467415B - A kind of SUAV RTK relative positioning methods constrained based on difference pressure altitude - Google Patents

A kind of SUAV RTK relative positioning methods constrained based on difference pressure altitude Download PDF

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CN105467415B
CN105467415B CN201610031717.1A CN201610031717A CN105467415B CN 105467415 B CN105467415 B CN 105467415B CN 201610031717 A CN201610031717 A CN 201610031717A CN 105467415 B CN105467415 B CN 105467415B
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CN105467415A (en
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陈万通
韩萍
吴仁彪
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Civil Aviation University of China
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    • GPHYSICS
    • G01MEASURING; TESTING
    • G01SRADIO DIRECTION-FINDING; RADIO NAVIGATION; DETERMINING DISTANCE OR VELOCITY BY USE OF RADIO WAVES; LOCATING OR PRESENCE-DETECTING BY USE OF THE REFLECTION OR RERADIATION OF RADIO WAVES; ANALOGOUS ARRANGEMENTS USING OTHER WAVES
    • G01S19/00Satellite radio beacon positioning systems; Determining position, velocity or attitude using signals transmitted by such systems
    • G01S19/38Determining a navigation solution using signals transmitted by a satellite radio beacon positioning system
    • G01S19/39Determining a navigation solution using signals transmitted by a satellite radio beacon positioning system the satellite radio beacon positioning system transmitting time-stamped messages, e.g. GPS [Global Positioning System], GLONASS [Global Orbiting Navigation Satellite System] or GALILEO
    • G01S19/40Correcting position, velocity or attitude
    • G01S19/41Differential correction, e.g. DGPS [differential GPS]
    • GPHYSICS
    • G01MEASURING; TESTING
    • G01CMEASURING DISTANCES, LEVELS OR BEARINGS; SURVEYING; NAVIGATION; GYROSCOPIC INSTRUMENTS; PHOTOGRAMMETRY OR VIDEOGRAMMETRY
    • G01C5/00Measuring height; Measuring distances transverse to line of sight; Levelling between separated points; Surveyors' levels
    • G01C5/06Measuring height; Measuring distances transverse to line of sight; Levelling between separated points; Surveyors' levels by using barometric means
    • GPHYSICS
    • G01MEASURING; TESTING
    • G01SRADIO DIRECTION-FINDING; RADIO NAVIGATION; DETERMINING DISTANCE OR VELOCITY BY USE OF RADIO WAVES; LOCATING OR PRESENCE-DETECTING BY USE OF THE REFLECTION OR RERADIATION OF RADIO WAVES; ANALOGOUS ARRANGEMENTS USING OTHER WAVES
    • G01S19/00Satellite radio beacon positioning systems; Determining position, velocity or attitude using signals transmitted by such systems
    • G01S19/38Determining a navigation solution using signals transmitted by a satellite radio beacon positioning system
    • G01S19/39Determining a navigation solution using signals transmitted by a satellite radio beacon positioning system the satellite radio beacon positioning system transmitting time-stamped messages, e.g. GPS [Global Positioning System], GLONASS [Global Orbiting Navigation Satellite System] or GALILEO
    • G01S19/42Determining position
    • G01S19/43Determining position using carrier phase measurements, e.g. kinematic positioning; using long or short baseline interferometry
    • G01S19/44Carrier phase ambiguity resolution; Floating ambiguity; LAMBDA [Least-squares AMBiguity Decorrelation Adjustment] method
    • GPHYSICS
    • G01MEASURING; TESTING
    • G01SRADIO DIRECTION-FINDING; RADIO NAVIGATION; DETERMINING DISTANCE OR VELOCITY BY USE OF RADIO WAVES; LOCATING OR PRESENCE-DETECTING BY USE OF THE REFLECTION OR RERADIATION OF RADIO WAVES; ANALOGOUS ARRANGEMENTS USING OTHER WAVES
    • G01S19/00Satellite radio beacon positioning systems; Determining position, velocity or attitude using signals transmitted by such systems
    • G01S19/38Determining a navigation solution using signals transmitted by a satellite radio beacon positioning system
    • G01S19/39Determining a navigation solution using signals transmitted by a satellite radio beacon positioning system the satellite radio beacon positioning system transmitting time-stamped messages, e.g. GPS [Global Positioning System], GLONASS [Global Orbiting Navigation Satellite System] or GALILEO
    • G01S19/42Determining position
    • G01S19/51Relative positioning

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  • Engineering & Computer Science (AREA)
  • Radar, Positioning & Navigation (AREA)
  • Remote Sensing (AREA)
  • Physics & Mathematics (AREA)
  • General Physics & Mathematics (AREA)
  • Computer Networks & Wireless Communication (AREA)
  • Position Fixing By Use Of Radio Waves (AREA)

Abstract

A kind of SUAV RTK relative positioning methods constrained based on difference pressure altitude, it is included in base station and rover station is respectively mounted same model GNSS receiver and antenna, barometric leveling sensor and radio station;The GNSS raw observations of rover station are transferred to base station by radio station, and difference Recursion process is done with base station raw observation;N number of baseline vector fixed value is determined using LAMBDA algorithms, calculates resequenced with the difference vector and Yi Qibei of baseline vector float-solution, the absolute value sum of eastern component respectively;The pressure altitude of rover station is transferred to base station by radio station, and carrying out difference with base station pressure altitude obtains difference height;The day of baseline vector fixed solution is examined successively to component, if meet difference it is highly constrained if for steps such as required relative positions.The present invention can screen correct baseline vector fixed solution using the difference elevation information of base station and rover station, not require the use of the measurement type receiver for suppressing function with multipath, available for inexpensive RTK applications.

Description

A kind of SUAV RTK relative positioning methods constrained based on difference pressure altitude
Technical field
The present invention relates to a kind of SUAV RTK relative positioning methods constrained based on difference pressure altitude, belong to and defend Star technical field of navigation and positioning.
Background technology
At present, SUAV surveying and drawing, take photo by plane, monitor, investigating, the field such as communication relay is used widely, Real-time Position Fixing Navigation System is a critical system of SUAV.Because GLONASS (GNSS) has the whole world Property, round-the-clock and continuous precision three-dimensional stationkeeping ability, therefore nearly more than ten year, using GPS and the Big Dipper as the satellite navigation system of representative System has been widely used for various fields.GNSS receiver uses One-Point Location technology, and precision is generally 3 to 10 meters, but it lacks Point is can not to realize the high-precision navigation application of inferior centimeter order, so as to limit unmanned plane answering in some field of precision measurement With.
GNSS can not only realize One-Point Location, can also realize the relative positioning between two observation stations, and precision is reachable The relative positioning technology of inferior centimeter order, in real time dynamic inferior centimeter order, i.e. RTK technologies, are mainly used in survey field at present.At present RTK technologies possess basic three characteristic features:(1) ionosphere and the troposphere mistake in GNSS observed quantities are cut down using differential technique Difference, orbit error, satellite and receiver clock error;(2) using the measurement type receiver with multipaths restraint function, cut down many Tracking error;(3) recursive estimation, the integer ambiguity float-solution obtained using recursive estimation are carried out using the data of multiple epoch And its variance-covariance matrix solves integer ambiguity fixed solution, generally uses LAMBDA algorithms.
But, due to the limitation of cost and volume, SUAV is commonly provided with navigational route type receiver, and can not be equipped with tool There is the measurement type receiver of multipaths restraint function, therefore Multipath Errors can not be cut down, and then cause to ask using LAMBDA algorithms The success rate of solution integer ambiguity is greatly reduced.Integer ambiguity once resolves mistake, it will cause the position error of meter level, nothing RTK positioning precision is effectively ensured in method.
The content of the invention
In order to solve the above problems, it is an object of the invention to provide a kind of small-sized nothing constrained based on difference pressure altitude Man-machine RTK relative positioning methods.
In order to achieve the above object, the SUAV RTK based on the constraint of difference pressure altitude that the present invention is provided is relative Localization method includes the following steps carried out in order:
1) GNSS receiver, GNSS antenna, barometric leveling sensor are installed on base station and radio station, wherein GNSS is received Antenna and barometric leveling sensor are in sustained height, and the original sights of base station GNSS are obtained using GNSS receiver and GNSS antenna Measured value, while utilizing barometric leveling sensor measuring basis station pressure altitude;
2) rover station be on SUAV install with step 1) described in model of the same race GNSS receiver, GNSS days Line, barometric leveling sensor and transmitting station, wherein GNSS antenna and barometric leveling sensor are in sustained height, utilize GNSS Receiver and GNSS antenna obtain rover station GNSS raw observations, while measuring rover station air pressure using barometric leveling sensor Highly;
3) rover station GNSS raw observations and air pressure elevation information are sent to nothing by the transmitting station on rover station Line channel;
4) above- mentioned information is received using the reception radio station on base station, and pressure altitude therein and base station air pressure is high Degree carries out real time differential computing, obtains difference height;
5) rover station GNSS raw observations and base station GNSS raw observations are subjected to calculus of differences, obtain difference sight Measured value;
6) above-mentioned difference observation is based on, the floating-point of reeursive weighting least square method, in real time estimation integer ambiguity is utilized SolutionAnd its variance-covariance matrixBaseline vector float-solutionAnd the success rate P of Carrier Phase Ambiguity Resolution;
7) judge whether the success rate P of above-mentioned Carrier Phase Ambiguity Resolution is higher than predetermined threshold, if higher than predetermined threshold, Then enter step 8), otherwise repeat step 4) -7);
8) utilize step 4) difference height and step 6) integer ambiguity float-solutionAnd its variance association side Poor matrixBaseline vector float-solutionComplete integer ambiguity estimation and inspection.
In step 6) in, it is described based on above-mentioned difference observation, using reeursive weighting least square method, estimate in real time whole The float-solution of all fuzzinessesAnd its variance-covariance matrixBaseline vector float-solutionAnd Carrier Phase Ambiguity Resolution Success rate P's comprises the following steps that:
6.1) relative position between definition datum station and rover station is baseline vector b, it is assumed that the satellite of k-th of epoch can See several mkMore than 4, based on step 5) the difference observation, set up GNSS standard baseline models as follows:
Wherein, y represents step 5) vector form of the difference observation, dimension is 2mk-2;A swears for integer ambiguity Amount, its dimension is mk-1;A and B are respectively integer ambiguity vector a and the coefficient matrix of baseline vector b, and dimension is respectively (2mk- 2)×(mk- 1) and (2mk-2)×3;V is the vector form y of difference observation observation noise vector;QyFor its variance and covariance Matrix, subscript k represents that all observation vectors and matrix belong to k-th of epoch;
6.2) formula (b) is based on, the float-solution of reeursive weighting least square method, in real time estimation integer ambiguity is utilizedAnd its Variance-covariance matrix
6.3) reeursive weighting least square method is utilized, in real time estimation baseline vector float-solution
6.4) step 6.2 is utilized) variance-covariance matrixCalculate its fuzziness dilution of precision ADOP:
Wherein n is variance-covariance matrixDimension, then calculate Carrier Phase Ambiguity Resolution success rate P:
In step 8) in, described utilization step 4) difference height and step 6) integer ambiguity float-solutionAnd its variance-covariance matrixBaseline vector float-solutionComplete integer ambiguity estimation and the specific steps examined such as Under:
8.1) be based on step 6) integer ambiguity float-solutionAnd its variance-covariance matrixUsing LAMBDA Algorithm filters out N number of preferred integer ambiguity candidate value, and (N is empirical value, can typically take N>10);
8.2) it is directed to step 8.1) N number of preferred integer ambiguity candidate value, each fuzziness candidate is calculated respectively It is worth corresponding baseline vector fixed solution, including north component, east component and day to component, to that there should be N number of baseline vector to fix Solution;
8.3) obtain step 6 respectively) the baseline vector float-solution and step 8.2) N number of baseline vector fixed solution it Difference, correspondence obtains N number of difference vector;
8.4) it is directed to step 8.3) N number of difference vector, compares the north component and east component of each difference vector Absolute value sum, and N number of baseline vector fixed solution is resequenced;
8.5) checking procedure 8.4 successively) N number of baseline vector fixed solution after rearrangement, if i-th of baseline vector is consolidated Surely the day solved meets step 4 to component) the difference height, then the baseline vector fixed solution is final required relative position, If the day of N number of baseline vector fixed solution is unsatisfactory for step 4 to component) the difference height, current epoch is without output, profit Continue repeat step 3 with the observation data of next epoch) -8).
The advantage of the present invention compared with prior art is:First, traditional RTK methods are used suppresses function with multipath Measurement type receiver, the present invention do not need receiver have multipath suppress function;Second, difference used in background technology Elevation information derives from same type of barometric leveling sensor, in the geographic range of miniature self-service machine operation, passes through difference Computing can cut down public sensing system error and environmental error, and difference observation only includes measurement noise, utilizes height The barometric leveling sensor of precision, the error between relative altitude and true value obtained by measurement can reach decimeter grade, be complete cycle The identification of fuzziness candidate value provides constraints;3rd, because the horizontal component of baseline vector float-solution can be with the time Approach baseline vector corresponding to correct fuzziness candidate value more quickly, multipath is mainly influenceed in day on component, is utilized Last step methods described can further reduce multi-path influence.
Brief description of the drawings
The SUAV RTK relative positioning method flows constrained based on difference pressure altitude that Fig. 1 provides for the present invention Figure;
Fig. 2 is integer ambiguity estimation and method of inspection flow chart in the inventive method.
Embodiment
As shown in figure 1, the real-time dynamic relative positioning method constrained based on difference pressure altitude that the present invention is provided is included The following steps carried out in order:
1) GNSS receiver, GNSS antenna, barometric leveling sensor are installed on base station and radio station, wherein GNSS is received Antenna and barometric leveling sensor are in sustained height, and the original sights of base station GNSS are obtained using GNSS receiver and GNSS antenna Measured value, while utilizing barometric leveling sensor measuring basis station pressure altitude Hbase, elevation carrection precision is σH
2) rover station be on SUAV install with step 1) described in model of the same race GNSS receiver, GNSS days Line, barometric leveling sensor and transmitting station, wherein GNSS antenna and barometric leveling sensor are in sustained height, utilize GNSS Receiver and GNSS antenna obtain rover station GNSS raw observations, while measuring rover station air pressure using barometric leveling sensor Height Hrover, elevation carrection precision is σH
3) rover station GNSS raw observations and air pressure elevation information are sent to nothing by the transmitting station on rover station Line channel;
4) above- mentioned information is received using the reception radio station on base station, and pressure altitude therein and base station air pressure is high Degree carries out real time differential computing, obtains difference height dHk
dHk=Hrover-Hbase (a)
5) rover station GNSS raw observations and base station GNSS raw observations are subjected to calculus of differences, obtain difference sight Measured value;
6) above-mentioned difference observation is based on, the floating-point of reeursive weighting least square method, in real time estimation integer ambiguity is utilized SolutionAnd its variance-covariance matrixBaseline vector float-solutionAnd the success rate P of Carrier Phase Ambiguity Resolution, specific steps It is as follows:
6.1) relative position between definition datum station and rover station is baseline vector b, it is assumed that the satellite of k-th of epoch can See several mkMore than 4, based on step 5) the difference observation, set up GNSS standard baseline models as follows:
Wherein, y represents step 5) vector form of the difference observation, dimension is 2mk-2;A swears for integer ambiguity Amount, its dimension is mk-1;A and B are respectively integer ambiguity vector a and the coefficient matrix of baseline vector b, and dimension is respectively (2mk- 2)×(mk- 1) and (2mk-2)×3;V is the vector form y of difference observation observation noise vector;QyFor its variance and covariance Matrix, subscript k represents that all observation vectors and matrix belong to k-th of epoch;
6.2) formula (b) is based on, the float-solution of reeursive weighting least square method, in real time estimation integer ambiguity is utilizedAnd its Variance-covariance matrix
6.3) reeursive weighting least square method is utilized, in real time estimation baseline vector float-solution
6.4) step 6.2 is utilized) variance-covariance matrixCalculate its fuzziness dilution of precision ADOP:
Wherein n is variance-covariance matrixDimension, then calculate Carrier Phase Ambiguity Resolution success rate P:
7) judge above-mentioned Carrier Phase Ambiguity Resolution success rate P whether higher than predetermined threshold (be usually set to 0.9~ 0.999), if higher than predetermined threshold, into step 8), otherwise repeat step 4) -7);
8) step 4 is utilized) the difference height dHkWith step 6) float-solution of the integer ambiguityAnd its variance association Variance matrixBaseline vector float-solutionInteger ambiguity estimation and inspection are completed, is comprised the following steps that:
8.1) be based on step 6) integer ambiguity float-solutionAnd its variance-covariance matrixUsing LAMBDA algorithms filter out N number of preferred integer ambiguity candidate value, and (N is empirical value, typically can use N>10);Make ajIt is j-th of time Reconnaissance, definitionJ-th candidates point aNMeet following formula r1<…<rj<…rN
8.2) it is directed to step 8.1) N number of preferred integer ambiguity candidate value, each fuzziness candidate is calculated respectively It is worth corresponding baseline vector fixed solution, including north component, east component and day to component, to that there should be N number of baseline vector to fix Solution, that is, have:
8.3) obtain step 6 respectively) the baseline vector float-solution and step 8.2) N number of baseline vector fixed solution it Difference, correspondence obtains N number of difference vector:
8.4) it is directed to step 8.3) N number of difference vector, compares the north component and east component of each difference vector Absolute value sum, i.e.,And N number of baseline vector fixed solution is resequenced;
8.5) checking procedure 8.4 successively) N number of baseline vector fixed solution after rearrangement, if i-th of baseline vector is consolidated Surely the day solved meets step 4 to component) the difference height, then the baseline vector fixed solution is final required relative position, Judge whether formula (h) is set up:
Wherein σHFor step 1) the elevation carrection precision;If the day of N number of baseline vector fixed solution is discontented with to component Sufficient step 4) difference height, then current epoch utilize the observation data of next epoch to continue repeat step without output 3)—8)。

Claims (3)

1. a kind of SUAV RTK relative positioning methods constrained based on difference pressure altitude, it is characterised in that:Described base The SUAV RTK relative positioning methods constrained in difference pressure altitude include the following steps carried out in order:
1) GNSS receiver, GNSS antenna, barometric leveling sensor are installed on base station and radio station, wherein GNSS antenna is received Sustained height is in barometric leveling sensor, the original observations of base station GNSS are obtained using GNSS receiver and GNSS antenna Value, while utilizing barometric leveling sensor measuring basis station pressure altitude;
2) be to be installed and step 1 on SUAV in rover station) described in the GNSS receiver of model of the same race, GNSS antenna, Barometric leveling sensor and transmitting station, wherein GNSS antenna and barometric leveling sensor are in sustained height, are connect using GNSS Receipts machine and GNSS antenna obtain rover station GNSS raw observations, while it is high to measure rover station air pressure using barometric leveling sensor Degree;
3) rover station GNSS raw observations and air pressure elevation information are sent to wireless communication by the transmitting station on rover station Road;
4) above- mentioned information is received using the reception radio station on base station, and pressure altitude therein is entered with base station pressure altitude Row real time differential computing, obtains difference height;
5) rover station GNSS raw observations and base station GNSS raw observations are subjected to calculus of differences, obtain difference observation Value;
6) above-mentioned difference observation is based on, the float-solution of reeursive weighting least square method, in real time estimation integer ambiguity is utilizedAnd Its variance-covariance matrixBaseline vector float-solutionAnd the success rate P of Carrier Phase Ambiguity Resolution;
7) judge whether the success rate P of above-mentioned Carrier Phase Ambiguity Resolution is higher than predetermined threshold, if higher than predetermined threshold, entering Enter step 8), otherwise repeat step 4) -7);
8) utilize step 4) difference height and step 6) integer ambiguity float-solutionAnd its variance-covariance matrixBaseline vector float-solutionComplete integer ambiguity estimation and inspection.
2. the SUAV RTK relative positioning methods according to claim 1 constrained based on difference pressure altitude, it is special Levy and be:In step 6) in, it is described based on above-mentioned difference observation, using reeursive weighting least square method, estimate in real time whole The float-solution of all fuzzinessesAnd its variance-covariance matrixBaseline vector float-solutionAnd Carrier Phase Ambiguity Resolution into Power P is comprised the following steps that:
6.1) relative position between definition datum station and rover station is baseline vector b, it is assumed that the visible number of satellite of k-th of epoch mkMore than 4, based on step 5) the difference observation, set up GNSS standard baseline models as follows:
<mrow> <msub> <mi>y</mi> <mi>k</mi> </msub> <mo>=</mo> <msub> <mi>A</mi> <mi>k</mi> </msub> <msub> <mi>a</mi> <mi>k</mi> </msub> <mo>+</mo> <msub> <mi>B</mi> <mi>k</mi> </msub> <msub> <mi>b</mi> <mi>k</mi> </msub> <mo>+</mo> <msub> <mi>v</mi> <mi>k</mi> </msub> <mo>,</mo> <msub> <mi>v</mi> <mi>k</mi> </msub> <mo>~</mo> <mi>N</mi> <mrow> <mo>(</mo> <mn>0</mn> <mo>,</mo> <msub> <mi>Q</mi> <msub> <mi>y</mi> <mi>k</mi> </msub> </msub> <mo>)</mo> </mrow> <mo>-</mo> <mo>-</mo> <mo>-</mo> <mrow> <mo>(</mo> <mi>b</mi> <mo>)</mo> </mrow> </mrow>
<mrow> <msub> <mi>a</mi> <mi>k</mi> </msub> <mo>&amp;Element;</mo> <msup> <mi>Z</mi> <mrow> <msub> <mi>m</mi> <mi>k</mi> </msub> <mo>-</mo> <mn>1</mn> </mrow> </msup> <mo>,</mo> <msub> <mi>b</mi> <mi>k</mi> </msub> <mo>&amp;Element;</mo> <msup> <mi>R</mi> <mn>3</mn> </msup> </mrow>
Wherein, y represents step 5) vector form of the difference observation, dimension is 2mk-2;A is integer ambiguity vector, its Dimension is mk-1;A and B are respectively integer ambiguity vector a and the coefficient matrix of baseline vector b, and dimension is respectively (2mk-2)× (mk- 1) and (2mk-2)×3;V is the vector form y of difference observation observation noise vector;QyFor its variance and covariance square Battle array, subscript k represents that all observation vectors and matrix belong to k-th of epoch;
6.2) formula (b) is based on, the float-solution of reeursive weighting least square method, in real time estimation integer ambiguity is utilizedAnd its variance Covariance matrix
6.3) reeursive weighting least square method is utilized, in real time estimation baseline vector float-solution
<mrow> <mover> <mi>b</mi> <mo>^</mo> </mover> <mo>=</mo> <msup> <mrow> <mo>(</mo> <msubsup> <mi>B</mi> <mi>k</mi> <mi>T</mi> </msubsup> <msubsup> <mi>Q</mi> <msub> <mi>y</mi> <mi>k</mi> </msub> <mrow> <mo>-</mo> <mn>1</mn> </mrow> </msubsup> <msub> <mi>B</mi> <mi>k</mi> </msub> <mo>)</mo> </mrow> <mrow> <mo>-</mo> <mn>1</mn> </mrow> </msup> <msubsup> <mi>B</mi> <mi>k</mi> <mi>T</mi> </msubsup> <msubsup> <mi>Q</mi> <msub> <mi>y</mi> <mi>k</mi> </msub> <mrow> <mo>-</mo> <mn>1</mn> </mrow> </msubsup> <mrow> <mo>(</mo> <msub> <mi>y</mi> <mi>k</mi> </msub> <mo>-</mo> <mover> <mi>a</mi> <mo>^</mo> </mover> <mo>)</mo> </mrow> <mo>-</mo> <mo>-</mo> <mo>-</mo> <mrow> <mo>(</mo> <mi>c</mi> <mo>)</mo> </mrow> </mrow>
6.4) step 6.2 is utilized) variance-covariance matrixCalculate its fuzziness dilution of precision ADOP:
<mrow> <mi>A</mi> <mi>D</mi> <mi>O</mi> <mi>P</mi> <mo>=</mo> <msup> <mrow> <mo>|</mo> <msub> <mi>Q</mi> <mover> <mi>a</mi> <mo>^</mo> </mover> </msub> <mo>|</mo> </mrow> <mfrac> <mn>1</mn> <mrow> <mn>2</mn> <mi>n</mi> </mrow> </mfrac> </msup> <mo>-</mo> <mo>-</mo> <mo>-</mo> <mrow> <mo>(</mo> <mi>d</mi> <mo>)</mo> </mrow> </mrow>
Wherein n is variance-covariance matrixDimension, then calculate Carrier Phase Ambiguity Resolution success rate P:
<mrow> <mi>P</mi> <mo>=</mo> <msup> <mrow> <mo>(</mo> <mn>2</mn> <mi>&amp;Phi;</mi> <mo>(</mo> <mfrac> <mn>1</mn> <mrow> <mn>2</mn> <mi>A</mi> <mi>D</mi> <mi>O</mi> <mi>P</mi> </mrow> </mfrac> <mo>)</mo> <mo>-</mo> <mn>1</mn> <mo>)</mo> </mrow> <mi>n</mi> </msup> <mo>-</mo> <mo>-</mo> <mo>-</mo> <mrow> <mo>(</mo> <mi>e</mi> <mo>)</mo> </mrow> <mo>.</mo> </mrow>
3. the SUAV RTK relative positioning methods according to claim 1 constrained based on difference pressure altitude, it is special Levy and be:In step 8) in, described utilization step 4) difference height and step 6) integer ambiguity float-solutionAnd its variance-covariance matrixBaseline vector float-solutionComplete integer ambiguity estimation and the specific steps examined such as Under:
8.1) be based on step 6) integer ambiguity float-solutionAnd its variance-covariance matrixUsing LAMBDA algorithms Filter out N number of preferred integer ambiguity candidate value;
8.2) it is directed to step 8.1) N number of preferred integer ambiguity candidate value, each fuzziness candidate value pair is calculated respectively The baseline vector fixed solution answered, including north component, east component and day are to component, to that should have N number of baseline vector fixed solution;
8.3) obtain step 6 respectively) the baseline vector float-solution and step 8.2) N number of baseline vector fixed solution difference, Correspondence obtains N number of difference vector;
8.4) be directed to step 8.3) N number of difference vector, compare each difference vector north component and east component it is exhausted To value sum, and N number of baseline vector fixed solution is resequenced;
8.5) checking procedure 8.4 successively) N number of baseline vector fixed solution after rearrangement, if i-th of baseline vector fixed solution Day meet step 4 to component) difference height, then the baseline vector fixed solution is final required relative position, if N The day of individual baseline vector fixed solution is unsatisfactory for step 4 to component) the difference height, then current epoch is without output, under utilization The observation data of one epoch continue repeat step 3) -8).
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