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Method for quickly obtaining integer solution of satellite positioning in high reliability

A satellite positioning and reliability technology, applied in the field of satellite positioning, can solve the problems of unreliable positioning results, false tolerance, long initialization time, etc., and achieve the effect of eliminating inaccurate confirmation standards, unified algorithm, and simple calculation process

Active Publication Date: 2019-08-09
SOUTHEAST UNIV
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Problems solved by technology

[0007] The above-mentioned integer solution calculation method for satellite carrier precision positioning has the following disadvantages: (1) It takes a long initialization time to realize the ambiguity fixed throughout; a conditional constraint
(2) There are many methods of confirmation inspection; the same data may get different judgment results by using different inspection methods
(3) In the case of passing the confirmation test, the integer solution is obtained on the surface, but in fact there is a risk of false acceptance, and the positioning result is not very reliable

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  • Method for quickly obtaining integer solution of satellite positioning in high reliability
  • Method for quickly obtaining integer solution of satellite positioning in high reliability
  • Method for quickly obtaining integer solution of satellite positioning in high reliability

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Embodiment Construction

[0037] The present invention will be further described below in conjunction with the accompanying drawings.

[0038] The data in this example come from two adjacent continuous observation stations about 18 kilometers away in Nanjing. The observation instruments of the station are Leica GPS receiver and choke coil antenna. Set the observation epoch interval to 1 second and the cut-off altitude angle to 15 degrees.

[0039] The first step is to establish the carrier double-difference observation equation, and use the least square method to solve the real number solution of ambiguity and other unknown parameters and their corresponding variance matrix and covariance matrix:

[0040]

[0041]

[0042]

[0043]

[0044]

[0045] The second step, given the reliability probability value p=0.997, the dimension of ambiguity n=6, can get

[0046] calculate

[0047]

[0048] Then the size of the hyperellipsoid used for searching should be

[0049]

[0050] exis...

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Abstract

The invention discloses a method for quickly obtaining an integer solution of satellite positioning in a high reliability. The method comprises steps of establishing a GNSS carrier observation equation, using a least square method to calculate a real solution of the ambiguity and a corresponding variance matrix, a real solution of other unknown parameters and a corresponding variance matrix and acovariance matrix of the sum, determining t integer vectors with the same dimensions as the ambiguity according to the given reliability probability p; calculating the posterior weighted probability that the integer vectors are the true values of the ambiguity; calculating the integer solution of other parameters rather than the ambiguity by the posterior weighted probability; calculating the variance matrix of the integer solution of the other parameters. The method can calculate the integer solution of unknowns only by a few epochs, without needing determination to the integer ambiguity, andthe obtained integer solution has a high reliability.

Description

[0001] Technical field: [0002] The invention relates to the technical field of satellite positioning, in particular to a method for rapidly obtaining integer solutions of high-reliability satellite positioning. [0003] Background technique: [0004] Carrier is a necessary observation quantity for GNSS precise positioning. Carrier observations need to add an unknown integer multiple of the carrier wavelength to equal the distance between the satellite and the ground. This unknown integer is called ambiguity. The ambiguity and other parameters including coordinates (or baseline vector) are used as unknowns to establish the carrier observation equation; based on the least squares principle, the estimation of ambiguity and other unknown parameters and the corresponding covariance matrix can be obtained. [0005] Since the above calculation process is carried out in the real number field, and does not take into account the integer characteristics of the ambiguity, the solution o...

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Application Information

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Patent Type & Authority Applications(China)
IPC IPC(8): G01S19/43G01S19/44
CPCG01S19/43G01S19/44
Inventor 于先文
Owner SOUTHEAST UNIV