各向异性组合滤波法反演陆地水储量变化

doi:10.11947/j.AGCS.2015.20130719

测绘学报 ›› 2015, Vol. 44 ›› Issue (2): 174-182.doi: 10.11947/j.AGCS.2015.20130719

各向异性组合滤波法反演陆地水储量变化

超能芳¹, 王正涛^1,2, 孙健¹

1. 武汉大学测绘学院, 湖北武汉 430079;
2. 武汉大学地球空间环境与大地测量教育部重点实验室, 湖北武汉 430079

收稿日期:2014-01-10 修回日期:2014-10-21 出版日期:2015-02-20 发布日期:2015-02-14
作者简介:超能芳(1986—),男,博士生,研究方向为地球时变重力场的研究。E-mail:nfchao@whu.edu.cn
基金资助:
国家973项目(2013CB733301);国家自然科学基金(41074014;41274032)

The Inversion of Terrestrial Water Storage Changes by Non-isotropic Combination Filter

CHAO Nengfang¹, WANG Zhengtao^{1 2}, SUN Jian¹

1. School of Geodesy and Geomatics, Wuhan University, Wuhan 430079, China;
2. Key Laboratory of Geospace Environment and Geodesy, Ministry of Education, Wuhan University, Wuhan 430079, China

Received:2014-01-10 Revised:2014-10-21 Online:2015-02-20 Published:2015-02-14
Supported by:
The National Basic Research Program of China(973 Program)(No.2013CB733301);The National Natural Science Foundation of China(Nos.41074014;41274032)

摘要/Abstract

摘要： 地球时变重力场模型反演陆地水储量变化已为全球气候变化研究作出巨大贡献, 考虑到时变重力场模型球谐系数中存在相关性, 其高阶次项具有较大的误差, 需采用最优的滤波方法进行空间平滑。本文提出一种新的各向异性组合滤波方法, 其基本思想是将改进的高斯滤波法与均方根(root mean square, RMS)滤波法组合, 即对球谐系数的低阶次采用改进的高斯滤波法, 而高阶次采用RMS滤波法。首先分析了最新的GRACE RL05系列时变重力场模型系数误差特性, 基于全球水储量变化反演结果, 分析比较了高斯滤波、改进的高斯滤波、RMS滤波和DDK滤波与本文提出的组合滤波法的有效性及精度, 并利用模型结果进行验证, 计算结果表明, 组合滤波法的中误差最小。研究结果表明, 本文提出的组合法相比于先前的滤波方法, 可有效地过滤高阶次的噪声, 消除南北条带误差, 同时减少信号泄漏, 提高信噪比, 保留更多有效的地球物理信号, 进而提高反演精度。

关键词: GRACE, 球谐系数, 时变重力场, 滤波

Abstract: The inversion of variations of terrestrial water storage by the earth time-variable gravity filed model makes a great contribution to global climate change, however, the spherical harmonics of time-variable gravity field have correlation problem and significant errors in high orders and degrees, and so optimal filtering method is needed to solve this problem. In this article, a new filter was devised named‘non-isotropic combination filter’, and showed a better performance. The basic idea of the new filter is to apply the Gaussian filter and the RMS filter to low-degree and high-degree harmonic coefficients separately. In this paper, we first analyze the error characteristics of the latest GRACE RL05 series variable gravity field model, compare the validity and precision with Gaussian filter, improved Gaussian filter, RMS filter, DDK filter, the non-isotropic combination filter and verified them with the model. It shows that the mean square error of the non-isotropic combination filter and model is the least. Based on above analysis, we find that the non-isotropic combination filter can suppress the noises in high-degrees and high-orders, eliminate the N-S striping errors, lower signal leakage errors, improve the ratio of signal-to-noise more effectively compared with the previous filters.

Key words: GRACE, spherical harmonics, time-variable gravity field, filter

中图分类号:

P223

超能芳, 王正涛, 孙健. 各向异性组合滤波法反演陆地水储量变化[J]. 测绘学报, 2015, 44(2): 174-182.

CHAO Nengfang, WANG Zhengtao, SUN Jian. The Inversion of Terrestrial Water Storage Changes by Non-isotropic Combination Filter[J]. Acta Geodaetica et Cartographica Sinica, 2015, 44(2): 174-182.

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各向异性组合滤波法反演陆地水储量变化

The Inversion of Terrestrial Water Storage Changes by Non-isotropic Combination Filter

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