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EMD-Wavelet-ICA耦合模型及其在GPS坐标序列降噪中的应用
引用本文:于帅,刘超,李盟盟,刘春阳,邹敏.EMD-Wavelet-ICA耦合模型及其在GPS坐标序列降噪中的应用[J].测绘科学技术学报,2016(2):139-144.
作者姓名:于帅  刘超  李盟盟  刘春阳  邹敏
作者单位:安徽理工大学 测绘学院,安徽 淮南,232001
基金项目:国家自然科学基金项目(41404004);安徽理工大学科研启动基金项目(11152)。
摘    要:在分析比较经验模态分解(EMD)、小波变换(Wavelet)和独立分量分析(ICA)优缺点的基础上,提出一种新的EMD-Wavelet-ICA耦合模型。该模型充分利用了EMD的自适应性,对原始信号进行分解获得不同频率的模态函数(IMF),采用标准化模量的累计均值对IMF进行尺度划分;进而分别采用Wavelet和ICA对高频和低频IMF进行降噪,将降噪后的IMF进行多尺度重构,获得降噪后的信号;采用信噪比、标准差、偏差和相关系数等指标对降噪效果进行评价。仿真数据和GPS坐标序列的处理结果表明:与EMD模型和EMD-ICA模型相比,新模型的标准差、偏差均有不同程度的减小;信噪比和相关系数有一定程度的增大,可以获得更好的降噪效果。

关 键 词:全球定位系统  经验模式分解  小波变换  独立分量分析  降噪模型

EMD-Wavelet-ICA Coupled Model and Its Application in GPS Coordinate Series De-Noising
YU Shuai,LIU Chao,LI Mengmeng,LIU Chunyang,ZOU Min.EMD-Wavelet-ICA Coupled Model and Its Application in GPS Coordinate Series De-Noising[J].Journal of Zhengzhou Institute of Surveying and Mapping,2016(2):139-144.
Authors:YU Shuai  LIU Chao  LI Mengmeng  LIU Chunyang  ZOU Min
Abstract:Based on analyzing the advantages and disadvantages of empirical mode decomposition EMD wavelet transform Wavelet and independent component analysis ICA a novel EMD-Wavelet-ICA coupled model was proposed. The proposed model could decompose an original signal to different frequencies intrinsic mode functions IMF which could be divided into two parts with an index named mean of standardized accumulated modes MSAM . Then the high frequency part was de-noised by Wavelet and the low frequency part by ICA. Then the de-noised IMFs were reconstructed and several indexes namely signal to noise ratio SNR standard deviation STD bias and correlation coefficient R were employed to evaluate the de-noised results. Two experiments were carried out and the results show that the proposed model can decrease the STD and Bias values and increase SNR and R values to some extent compared with the two pre-existing model namely EMD and EMD-ICA.
Keywords:GPS  empirical mode decomposition EMD  wavelet transform Wavelet  independent component analysis ICA  de-noised model
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