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Wavelet and power spectrum analysis of global navigation satellite system multipath error modeling and mitigation
International Journal of Satellite Communications and Networking ( IF 1.7 ) Pub Date : 2021-05-25 , DOI: 10.1002/sat.1405
Kutubuddin Ansari 1, 2 , Tae‐Suk Bae 1
Affiliation  

This study investigates the multipath error modeling and mitigation for triple-frequency global navigation satellite system (GNSS) signals inside South Korea. Multifrequency global positioning system (GPS), globalnaya navigatsionnaya sputnikovaya sistema (GLONASS), and Galileo data are collected in an environment where the receiver must track these three constellations in both low and high multipath scenarios. First, an advanced power spectrum analysis technique known as Welch method is performed using experimental data, and its benefits and drawbacks are described. In the second attempt, the spectrogram method is utilized to perform multipath feature time–frequency analysis. Although the abnormal frequency peak presented by the spectrogram is stable, the spectrogram does not support the precise recognition of the multipath error peak occurrence. Hence, in the third attempt, continuous wavelet transforms (CWT) are applied to highlight this type of peak resolution. The CWT function successfully indicated the maximum and minimum peak resolutions and exhibited a clear wavelet energy spread. In the final stage, experimental data are reconstructed by inverse CWT (ICWT), and comparative results in terms of root mean square before and after the ICWT are estimated. After implementing the inverse wavelet method in high and low multipath error of experimental data, overall average percentages of multipath mitigation reduction compared to actual multipath error are estimated to be 95.74% and 98.79%, respectively. This study demonstrates the high efficiency of the wavelet method as well as the effectiveness as a multipath error reduction approach. These improvements can be considered as significant in achieving high-precision positioning accuracy.

中文翻译:

全球导航卫星系统多径误差建模与抑制的小波与功率谱分析

本研究调查了韩国境内三频全球导航卫星系统 (GNSS) 信号的多径误差建模和缓解。多频全球定位系统 (GPS)、globalnaya navigatsionnaya sputnikovaya sistema (GLONASS) 和伽利略数据是在接收器必须在低多径和高多径场景中跟踪这三个星座的环境中收集的。首先,使用实验数据执行称为 Welch 方法的高级功率谱分析技术,并描述其优缺点。在第二次尝试中,利用频谱图方法进行多径特征时间-频率分析。虽然频谱图呈现的异常频率峰值是稳定的,但频谱图不支持对多径误差峰值发生的精确识别。因此,在第三次尝试中,应用连续小波变换 (CWT) 来突出这种类型的峰值分辨率。CWT 函数成功地指示了最大和最小峰值分辨率,并表现出清晰的小波能量传播。在最后阶段,通过逆 CWT (ICWT) 重建实验数据,并估计 ICWT 前后的均方根比较结果。在实验数据的高和低多径误差中实施逆小波方法后,与实际多径误差相比,多径缓解减少的总体平均百分比估计分别为 95.74% 和 98.79%。该研究证明了小波方法的高效率以及作为减少多径误差方法的有效性。
更新日期:2021-05-25
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