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EWT与MPE结合的GNSS坐标时间序列信号提取方法

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针对GNSS坐标时间序列信号提取过程中部分有效信号在残差噪声中"湮没"的问题,提出一种经验小波变换(EWT)和多尺度排列熵(MPE)相结合的二次信号提取方法(EWT-MPE).该方法对第一次滤波后残差噪声进行分解,产生经验尺度分量和一系列经验小波分量,并采用MPE作为阈值指标,将各分量划分为信息模态分量、混合模态分量和噪声模态分量,对混合模态分量再次提取,直至无混合分量后,再重构初始去噪信号和信息模态分量为最终提取信号,从而达到信号二次提取的目的.通过对中国境内 8 个陆态网台站原始数据进行实验研究,结果表明,该方法整体优于经验模态分解(EMD)和EWT,信噪比均值达到 12.47 dB,能量百分比均值达到 79.10%,与EMD和EWT相比,信噪比分别提升 33.80%和 13.78%,能量百分比分别提升 16.15%和 5.87%,可以有效提取出原始信号中局部趋势特征,进一步提升信号提取效果.
Signal Extraction Method of GNSS Coordinate Time Series Based on EWT-MPE
Aiming at the problem of"annihilation"of some effective signals in residual noise in the process of GNSS coordinate time series signal extraction,a secondary signal extraction method(EWT-MPE)combining empir-ical wavelet transform(EWT)and multi-scale permutation entropy(MPE)is proposed.This method first decompo-ses the residual noise after the first filtering and generates empirical scale components and a series of empirical wavelet components,and then uses MPE as a threshold index to divide all component into information modal com-ponents,mixed modal components and noise modal components.The mixed modal components will then be extrac-ted again until there is no mixed component,and then the initial denoising signal and the information modal com-ponent are reconstructed into the final extracted signal,so as to achieve the purpose of the second time signal ex-traction.Through experimental research on the original data of 8 terrestrial network stations in China,the results show that the method is overall better than empirical mode decomposition(EMD)and EWT,with an average signal-to-noise ratio of 12.47 dB and an average energy percentage of 79.10%.Compared with EMD and EWT,the sig-nal-to-noise ratio is increased by 33.80%and 13.78%,and the energy percentage is increased by 16.15%and 5.87%respectively.It can effectively extract local trend features in the original signal and further improve the signal extraction effect.

GNSScoordinate time seriesEWTMPEsignal extraction

陶蕊、鲁铁定、周子琪

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江西省交通设计研究院有限责任公司,江西 南昌 330052

东华理工大学 测绘与空间信息工程学院,江西 南昌 330013

江西省港航设计院有限公司,江西 南昌 330013

全球导航卫星系统 坐标时间序列 经验小波变换 多尺度排列熵 信号提取

2024

测绘科学技术学报
信息工程大学科研部

测绘科学技术学报

影响因子:0.594
ISSN:1673-6338
年,卷(期):2024.40(5)