高度计测距精度对沿轨迹重力异常反演的影响

doi:10.11947/j.AGCS.2015.20140022

测绘学报 ›› 2015, Vol. 44 ›› Issue (4): 363-369.doi: 10.11947/j.AGCS.2015.20140022

高度计测距精度对沿轨迹重力异常反演的影响

李洋, 张润宁

航天东方红卫星有限公司, 北京 100094

收稿日期:2014-01-14 修回日期:2014-07-20 出版日期:2015-04-20 发布日期:2015-04-27
作者简介:李洋(1986—),女,博士生,研究方向为航天器总体设计和卫星测高数据处理.E-mail:liyangcau@sina.com
基金资助:
国家自然科学基金(4140401)

Inference of Altimeter Accuracy on Along-track Gravity Anomaly Recovery

LI Yang, ZHANG Running

DFH Satellite Company Limited, Beijing 100094, China

Received:2014-01-14 Revised:2014-07-20 Online:2015-04-20 Published:2015-04-27
Supported by:
The National Natural Science Foundation of China(No.4140401)

摘要/Abstract

摘要： 应用求解沿轨迹重力异常的垂线偏差法以及求解空间分辨率的交叉谱分析法,建立了高度计测距精度与沿轨迹重力异常反演精度以及空间分辨率的关联性模型.首先依据卫星测高原理,给出了沿轨迹重力异常的误差传播公式,然后以此为基础通过推导交叉谱分析中一致性系数与信噪比的数学表达式,建立了高度计测距精度与空间分辨率的解析关系.数值仿真结果表明:雷达高度计测距精度与沿轨迹重力异常反演精度成正比关系,与空间分辨率成幂函数关系,即高度计测距精度提高m倍,沿轨迹重力异常反演精度提高m倍,全球海域平均空间分辨率提高m^0.4644倍.将数值仿真结果与相关文献中对实际测高数据的处理结果进行比较,验证了理论分析及模型的正确性.

关键词: 卫星测高, 雷达高度计测距精度, 沿轨迹重力异常, 空间分辨率

Abstract: A correlation model between along-track gravity anomaly accuracy, spatial resolution and altimeter accuracy is proposed. This new model is based on along-track gravity anomaly recovery and resolution estimation. Firstly, an error propagation formula of along-track gravity anomaly is derived from the principle of satellite altimetry. Then the mathematics between the SNR (signal to noise ratio) and cross spectral coherence is deduced. The analytical correlation between altimeter accuracy and spatial resolution is finally obtained from the results above. Numerical simulation results show that along-track gravity anomaly accuracy is proportional to altimeter accuracy, while spatial resolution has a power relation with altimeter accuracy. e.g., with altimeter accuracy improving m times, gravity anomaly accuracy improves m times while spatial resolution improves m^0.4644 times. This model is verified by real-world data.

Key words: satellite altimetry, radar altimeter accuracy, along-track gravity anomaly, spatial resolution

中图分类号:

P228

李洋, 张润宁. 高度计测距精度对沿轨迹重力异常反演的影响[J]. 测绘学报, 2015, 44(4): 363-369.

LI Yang, ZHANG Running. Inference of Altimeter Accuracy on Along-track Gravity Anomaly Recovery[J]. Acta Geodaetica et Cartographica Sinica, 2015, 44(4): 363-369.

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高度计测距精度对沿轨迹重力异常反演的影响

Inference of Altimeter Accuracy on Along-track Gravity Anomaly Recovery

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