马健魏子卿任红飞 |《测绘学报（英文版）》（JGGS）精选论文 / 开普饭

Journal of Geodesy and Geoinformation Science

构建与学术的桥梁拉近与权威的距离

🔷Title l 题目

The Spectral Analysis and Application of Low-degree Modified Spheroidal Hotine Kernel

🔷Citation l 引文格式

Jian MA, Ziqing WEI, Hongfei REN. The Spectral Analysis and Application of Low-degree Modified Spheroidal Hotine Kernel[J]. Journal of Geodesy and Geoinformation Science, 2020, 3(3): 104-114.DOI: 10.11947/ j.JGGS.2020.0310.

🔷Abstract l 摘要

The traditional spheroidal kernel results in the spectrum leakage, and the utilization rate of the removed degrees of the measured data is low. Hence, a kind of spheroidal kernel whose high- and low-degrees are both modified is introduced in this research, which is exampled by the Hotine kernel. In addition, the low-degree modified spheroidal kernel is proposed. Either cosine or linear modification factors can be utilized. The modified kernel functions can effectively control the spectrum leakage compared with the traditional spheroidal kernel. Furthermore, the modified kernel augments the contribution rate of the measured data to height anomaly in the modified frequency domain. The experimental results show that the accuracy of the quasi-geoid by the cosine or linear low-degree modified kernel is higher than that by the traditional spheroidal kernel. And the accuracy equals the accuracy of the quasi-geoid using the spheroidal kernel with high- and low-degrees modified approximately when the low-degree modification bandwidths of these two kinds of kernels are the same. Since the computational efficiency of the low-degree modified kernel is much higher, the low-degree modified kernel behaves better in constructing the (quasi-) geoid based on Stokes-Helmert or Hotine-Helmert boundary-value theory.

🔷Key words l 关键词

the spheroidal Hotine kernel; cosine low-degree modification; linear low-degree modification; spectral analysis; spectrum leakage; the contribution rate

🔷Authors l 作者

Jian MA, Ziqing WEI, Hongfei REN.

Jian MA

马健，女，1988.10生，毕业于信息工程大学，博士，西安测绘研究所助理研究员。重点从事大地边值问题研究工作，代表性的研究成果包括：提出利用Molodensky理论求解第二边值问题，提出Helmert压缩法中地形直接和间接影响的棱柱模型算法，构建了Hotine-Helmert边值解算模型。

Ziqing WEI

魏子卿，男，1937.4生，毕业于解放军测绘学院。西安测绘研究所研究员，中国工程院院士。参与了多项国家级的重大课题攻关，是我国卫星大地测量学科的开拓者和学术带头人。代表性的研究成果有：研究海上大气折光修正，为运载火箭测量再入段提出折光修正公式和修正方案；主持参与我国卫星大地控制网的设计和布测；攻关卫星多普勒定位技术，取得了我国1954年北京坐标系与地心坐标系的转换参数；创立了多普勒定位的数学模型和平差方法，研制出能够进行分期、分地区处理，具有重点定位和整体平差等多种功能的短弧和半短弧平差程序，圆满地获得了全国卫星多普勒观测数据的平差成果；创造性地研究出大规模GPS大地网严密平差方案，应用这一成果对我国GPS一级网观测原始数据进行了整体平差；提出以参考椭球面为边界面的第二大地边值问题，构建了该问题的理论框架。

主要著作有《GPS相对定位的数学模型》《海上大气折光修正》《多普勒网短弧法平差》《GPS截波相位测量中电离层影响改正》等。