SSA+FBPF方法及其在北斗卫星钟差周期项提取中的应用

doi:10.11947/j.AGCS.2016.F039

测绘学报 ›› 2016, Vol. 45 ›› Issue (S2): 172-178.doi: 10.11947/j.AGCS.2016.F039

SSA+FBPF方法及其在北斗卫星钟差周期项提取中的应用

肖胜红^1,2, 王国成³, 涂弋⁴

1. 北京卫星导航中心, 北京 100094;
2. 中国科学院上海天文台, 上海 200030;
3. 中国科学院测量与地球物理研究所大地测量与地球动力学国家重点实验室, 湖北武汉 430077;
4. 三峡大学土木与建筑学院, 湖北宜昌 443002

收稿日期:2016-11-25 修回日期:2016-12-20 出版日期:2017-05-20 发布日期:2017-05-20
通讯作者: 王国成 E-mail:guocheng96@whigg.ac.cn
作者简介:肖胜红(1978-),男,博士,工程师,研究方向为卫星导航技术。E-mail:sh1978_0@163.com

The SSA+FBPF Method and Its Application on Extracting the Periodic Term from BeiDou Satellite Clock Bais

XIAO Shenghong^1,2, WANG Guocheng³, TU Yi⁴

1. Beijing Satellite Navigation Center, Beijing 100094, China;
2. Shanghai Astronomical Observatory, CAS, Shanghai 200030, China;
3. State Key Laboratory of Geodesy and Earth's Dynamics, Institute of Geodesy and Geophysics, Chinese Academy of Sciences, CAS, Wuhan 430077, China;
4. College of Civil Engineering and Architecture, China Three Gorges University, Hubei Yichang 443002, China

Received:2016-11-25 Revised:2016-12-20 Online:2017-05-20 Published:2017-05-20
Supported by:
SSA;Fourier band-pass filtering;the satellite clock bias of BD;periodic term

摘要/Abstract

摘要：

针对奇异谱分析（singular spectrum analysis，SSA）方法在重建准周期项时容易存在频率混叠的现象，傅里叶带通滤波器（fourier band pass filtering，FBPF）提取准周期项时，边界值极易受到残留的趋势项的影响而导致其不够精确，本文提出了一种SSA与FBPF相结合的方法（SSA+FBPF），即先利用SSA方法对信号进行分层选组重建，再对重建信号进行傅里叶带通滤波。仿真试验结果表明在信噪比（SNR）为0.017的情况下，SSA+FBPF方法重建周期信号精度比SSA方法提高了35%，比FBPF方法提高了26%，这说明该方法不仅抑制趋势项对边界值的影响，而且具有良好抗噪声干扰的能力。将SSA+FBPF方法用于重建北斗卫星PC06和PC07的24 h周期项，发现北斗卫星钟PC06和PC07周期项幅值均存在明显变化。

关键词: 奇异谱分析, 傅里叶带通滤波器, 北斗卫星钟差, 周期项

Abstract:

The frequency aliasing often exists when reconstructing the periodic signals using the singular spectrum analysis (SSA) method, the precision of the boundary value extracting by Fourier band-pass filtering (FBPF) is often not precise enough because of the influence of the residual trend term. In view of these kinds of situation, a combined method that joints SSA and Fourier band-pass filter method (SSA+FBPF) is proposed, the signal reconstructed by SSA is filtered by Fourier band-pass filter after SSA. The simulation results show that the reconstruction precision using SSA+FBPF method can improve 35% and 26% relative to that using the SSA and FBPF methods, respectively, in the case SNR is 0.017. These demonstrate that the SSA+FBPF method can reduce greatly the edge effect and has good robustness. The amplitudes of the 24 h terms obtained by the SSA+FBPF method from the BeiDou satellite clock PC06 and PC07 show that they have significantly variation.

Key words: SSA, Fourier band-pass filtering, the satellite clock bias of BD, periodic term

中图分类号:

P228

肖胜红, 王国成, 涂弋. SSA+FBPF方法及其在北斗卫星钟差周期项提取中的应用[J]. 测绘学报, 2016, 45(S2): 172-178.

XIAO Shenghong, WANG Guocheng, TU Yi. The SSA+FBPF Method and Its Application on Extracting the Periodic Term from BeiDou Satellite Clock Bais[J]. Acta Geodaetica et Cartographica Sinica, 2016, 45(S2): 172-178.

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SSA+FBPF方法及其在北斗卫星钟差周期项提取中的应用

The SSA+FBPF Method and Its Application on Extracting the Periodic Term from BeiDou Satellite Clock Bais

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