Method for constraining L1 norm under sparse LOS (light of sight)/NLOS (non-light of sight) scene on basis of distance observation value positioning

A technology of L1 norm and observation value, applied in the field of wireless positioning, can solve the problem of low positioning accuracy, achieve the effect of improving the effect, and the calculation principle is simple and easy to understand

Inactive Publication Date: 2019-11-26
INST OF GEODESY & GEOPHYSICS CHINESE ACADEMY OF SCI
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Problems solved by technology

[0003] To solve the problem of low positioning accuracy in sparse LOS / NLOS scenarios, the existing technology mainly adopts the optimization method based on the L2 norm and the partial residual algorithm

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  • Method for constraining L1 norm under sparse LOS (light of sight)/NLOS (non-light of sight) scene on basis of distance observation value positioning
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  • Method for constraining L1 norm under sparse LOS (light of sight)/NLOS (non-light of sight) scene on basis of distance observation value positioning

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Embodiment

[0032] The constrained L1 norm method based on distance observation value positioning in sparse LOS / NLOS scenarios, according to the steps in the content of the invention, if as follows:

[0033] (1) attached figure 1 The experimental results of are established by the following conditions: Given 5 fixed base stations, the coordinates are k 1 (0,0),k 2 (10,0),k 3 (10,10),k 4 (0,10) and k 5 (15,5), with four LOS base stations and one NLOS base station. The position of the mobile station is randomly generated within the rectangular range surrounded by the first four base stations, and the number of Monte Carlo simulations under each Gaussian white noise is 600 times. LOS signal noise η i Obey the mean is 0, the variance is Gaussian white noise, the NLOS error is uniformly distributed in the range [8*max(|η i |),15*max(|η i |)], where i=1,...,5.

[0034] (2) by the attached figure 1 It can be seen that when the variance of Gaussian white noise is -14dBm 2 When the sys...

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Abstract

The invention discloses a method for constraining an L1 norm under a sparse LOS (light of sight)/NLOS (non-light of sight) scene on the basis of distance observation value positioning. According to the method, the known coordinates of each positioning base station and distance observation values received by a receiver are obtained, so that an observation equation can be built; square expansion iscarried out on the observation equation in the previous step, so that the observation equation can be converted into a standard least square form; the least square form is solved with an L1 norm criterion, and an equation constraint condition existing between unknown variables in the least square form is added into the L1 norm criterion, so that an additional equation constrained L1 norm can be constructed; and a CVX toolbox of Matlab software is adopted for performing solving, so that a high-precision positioning solution is obtained. The method is used for a distance observation-based positioning system and is suitable for sparse LOS/NLOS scenes. The method has the advantages of simple principle, easiness in implementation and high positioning precision, and can promote the development of industrial application and commercial positioning systems to a certain extent.

Description

technical field [0001] The invention belongs to the technical field of wireless positioning, and in particular relates to a constrained L1 norm method that can be used for positioning based on distance observation values ​​in sparse LOS / NLOS scenarios. Background technique [0002] In the wireless positioning technology, there is a means of positioning by observing the distance value between the receiver and the base station, including indoor UWB (Ultra Wideband, ultra-wideband) positioning technology and 5G positioning technology. However, due to the complexity of the environment, during the propagation of the signal, some signals will encounter obstacles in the middle after starting from the transmitter, so that they can only reach the receiver through reflection, refraction and scattering. Therefore, the introduction of NLOS (non- light of sight, non-line-of-sight) error. This error is much larger than the noise, thus greatly affecting the accuracy of the positioning sys...

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Application Information

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Patent Type & Authority Applications(China)
IPC IPC(8): G01S5/10
CPCG01S5/10
Inventor 何成文袁运斌
Owner INST OF GEODESY & GEOPHYSICS CHINESE ACADEMY OF SCI
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