Method for searching maximum projection direction of ephemeris time clock correction covariance matrix

A technology of covariance matrix and projection direction, applied in the field of satellite navigation enhancement, can solve problems such as unseen

Active Publication Date: 2020-12-18
NO 20 RES INST OF CHINA ELECTRONICS TECH GRP
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At present, there is no public literature abroad to describe the method of finding the maximum p

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  • Method for searching maximum projection direction of ephemeris time clock correction covariance matrix
  • Method for searching maximum projection direction of ephemeris time clock correction covariance matrix
  • Method for searching maximum projection direction of ephemeris time clock correction covariance matrix

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Embodiment Construction

[0059] The present invention will be further described below in conjunction with the accompanying drawings and embodiments.

[0060] The present invention is a method for finding the maximum projection direction of the ephemeris clock correction number covariance matrix in the satellite coverage area, and the specific steps are as follows: figure 1 As shown, the steps are as follows:

[0061] Step 1: Covariance Matrix Projection Initial Transformation

[0062] DFRE(σ DFRE ) is the comprehensive reflection of the correction residual at the user end. It is necessary to form an envelope for the maximum correction residual of the ephemeris and clock corrections within the satellite coverage area. DFRE is expressed as:

[0063]

[0064] In formula (1), is the maximum projection direction of the covariance matrix within the satellite coverage, and the user position located in the maximum projection direction is the worst user location (Worst User Location, WUL), is the un...

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Abstract

The invention provides a method for searching the maximum projection direction of an ephemeris time clock correction covariance matrix. The method comprises the steps of processing the projection of the ephemeris time clock correction covariance matrix through Cauchy Schwartz inequation, unit orthogonal transformation, ellipsoid transformation and other mathematical methods, converting the problemof searching the maximum projection direction of the covariance matrix into a direction in which the maximum distance from the searching origin to the ellipsoidal surface is located, and respectivelycalculating the maximum projection direction of the covariance matrix according to two conditions that the X axis points to the coverage area and the X axis does not point to the coverage area. According to the method, the maximum projection direction can be accurately determined in real time, and the vector space for calculating the maximum projection direction of the covariance matrix is reduced from a four-dimensional space to a three-dimensional space through block matrix operation and Cauchy Schwartz inequality transformation, so that the problem that the maximum projection direction ofthe covariance matrix cannot be directly solved in the four-dimensional space is solved; and the maximum projection direction of the covariance matrix is constrained in a satellite signal coverage area, so that the calculated value of the DFRE better conforms to the practical situation.

Description

technical field [0001] The invention relates to the technical field of satellite navigation enhancement, and is a dual-frequency multi-constellation (Dual-Frequency Multi-Constellation) satellite-based augmentation system (Satellite Based Augmentation System, SBAS) for calculating dual-frequency ranging error (Dual-Frequency Range Error, DFRE) methods with integrity parameters. Background technique [0002] The currently operating SBAS systems are the Wide Area Augmentation System (WAAS) of the United States, the European Geostationary Navigation Overlay System (EGNOS) of the European Union, and the MTSAT Satellite-based Augmentation System of Japan. , MSAS) and India's GPS-assisted geostationary orbit augmented navigation system (GPS AidedGEO Augmented Navigation system, GAGAN), both are single-frequency (Single-Frequency, SF) SBAS. Due to the impact of ionospheric anomalies on service performance, SF SBAS service performance has not yet reached the index requirements of a...

Claims

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Application Information

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IPC IPC(8): G01S19/37G01S19/20G06F17/10G06F17/16
CPCG01S19/37G01S19/20G06F17/16G06F17/10
Inventor 邵搏李平力雷哲哲原彬张键熊帅
Owner NO 20 RES INST OF CHINA ELECTRONICS TECH GRP
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