US 11,686,860 B2Granted

Method for quickly acquiring highly reliable integer solution for satellite positioning

AssigneeSoutheast University

InventorXianwen Yu

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Abstract

The present disclosure discloses a method for quickly acquiring a highly reliable integer solution for satellite positioning. The method includes: acquiring observation data by a data computing platform from a GNSS receiver; establishing a GNSS carrier observation equation; solving a real solution for ambiguity and the corresponding variance matrix, a real solution for other unknown parameters including positioning parameters and the corresponding variance matrix, and a covariance matrix of the and by using the least squares method; determining integer vectors with the same dimension as the ambiguity according to a given reliability probability; computing a posterior weighted probability with the integer vectors being the true value of the ambiguity; computing an integer solution for other unknown parameters including positioning parameters by using the posterior weighted probability; computing a variance matrix of the integer solution for other unknown parameters; and outputting a computed result by the data computing platform.

Claims5

Dependent claims

A method for quickly acquiring a highly reliable integer solution for satellite positioning, wherein estimates and a variance matrix of satellite positioning parameters under a constraint of an integer property of an ambiguity are obtained by synthesizing a plurality of integer vectors with a same dimension as the ambiguity according to a probability, wherein the method comprises following steps:

step 1. acquiring observation data by an input unit of a data computing platform from a GNSS receiver, and sending the observation data to a processor of the data computing platform for solving, and executing following steps by the processor:
(1) establishing a GNSS carrier observation equation, solving a real solution â for ambiguity a and a variance matrix Dââ, a real solution {circumflex over (b)} for other unknown parameters b including positioning parameters and a corresponding variance matrix D{circumflex over (b)}{circumflex over (b)}, and a covariance matrix Dâ{circumflex over (b)} of the real solutions â and {circumflex over (b)} by using a least squares method;
(2) determining t integer vectors with the same dimension as the ambiguity according to a given reliability probability p;
(3) computing a posterior weighted probability Pi(â) with the t integer vectors being a true value of the ambiguity;
(4) computing an integer solution bp for the other unknown parameters b by using the posterior weighted probability Pi(â);
and
(5) computing a variance matrix Dbpbp of the integer solution bp;
and
step 2. outputting a computed result of the processor by an output unit of the data computing platform.

6 more elements

Dependencies are inferred from the claim text.