• 论文 •

### 基于压缩感知的高精度地磁基准图构建方法

1. 1. 火箭军工程大学 精确制导与仿真实验室, 西安 710025;
2. 火箭军96863部队, 洛阳 471000
• 收稿日期:2019-06-17 发布日期:2020-04-21
• 通讯作者: 张金生 E-mail:zjinshengchina@163.com
• 作者简介:马啸宇,男,硕士研究生。主要研究方向:地磁导航、导航制导与控制;张金生,男,博士,教授,硕士生导师。主要研究方向:导航、制导与控制。
• 基金资助:
国家自然科学基金（61673017）；中国博士后科学基金（2019M3643）

### High-precision geomagnetic reference map construction method based on compressed sensing

MA Xiaoyu1, ZHANG Jinsheng1, HAO Liangliang1, LI Ting1, WANG Shaobo1, LI Lin2

1. 1. Pricision Guidance and Simulation Lab, Rocket Force University of Engineering, Xi'an 710025, China;
2. 96863 Troop of Rocket Army, Luoyang 471000, China
• Received:2019-06-17 Published:2020-04-21
• Supported by:
National Natural Science Foundation of China (61673017); China Postdoctoral Science Foundation (2019M3643)

Abstract: The construction of geomagnetic reference map is the cornerstone of geomagnetic matching navigation.In this paper, the compressed sensing theory is applied to the geomagnetic information acquisition, which aims at solving the problem that the accuracy of the geomagnetic reference map is not satisfactory with the less measured data based on interpolation methods.A high-precision method of geomagnetic reference map construction based on compressed sensing is put forward, taking the structural characteristics of the geomagnetic reference map into consideration. The discrete cosine transform matrix is used as sparse basis, the unit matrix is used as measurement matrix, and the compression sampling matching pursuit (CoSaMP) algorithm is used as the reconstruction method. The experimental results show that the proposedmethod has better reconstruction accuracy and stability compared withthe methods of cubic spline interpolation, Kriging interpolation and PSO-Kriging interpolation. Compared with the PSO-Kriging interpolation method which has the best performance among the three, when geomagnetic reference map is reconstructed at the sampling rate of 6.25%, the proposed method makes the peak signal-to-noise ratio (PSNR) increase from 66.97 dB to 74.67 dB, themeanabsolute error reduce from 25.47 nT to 10.26 nT,and the root mean square error decrease from 28.57 nT to 11.33nT.