提升小波变换的部分残差相位模拟与去除
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摘要
为了修正轨道残留误差和大气误差的线性趋势项部分,有效改善解缠相位图的质量,该文根据小波变换可以实现分频这一重要特征,将其引入到合成孔径雷达干涉测量(InSAR)技术相位分离中;利用提升机制二维小波变换方法将解缠后的残余相位进行分解,并将低频部分在小波域内进行提取并估计修正,继而将纠正后的低频相位与高频相位进行重组。结果表明:针对解缠相位轨道残留误差和大气残留误差的线性趋势项部分,可以采用提升二维小波变换方法进行模拟和修正,该方法可以去除大量残差点,有效改善解缠相位图的质量。
To correct linear trend part of orbit residual error and atmospheric error,effectively improve quality of phase diagram,the wavelet transform was introduced into the interferometric synthetic aperture radar(InSAR)phase separation technique in this paper,for it can realize frequency division.The unwrapping residual phase was decomposed by the method of lifting wavelet transform,low-frequency phase in the wavelet domain was extracted and corrected.Finally corrected low-frequency phase and high frequency phase was reconstructed.The results showed that:linear trend part in orbit residual error and atmospheric residual error of unwrapping phase could be effectively estimated and corrected by the lifting wavelet transform method,large residual points were removed and the quality of unwrapping phase diagram was improved.
To correct linear trend part of orbit residual error and atmospheric error,effectively improve quality of phase diagram,the wavelet transform was introduced into the interferometric synthetic aperture radar(InSAR)phase separation technique in this paper,for it can realize frequency division.The unwrapping residual phase was decomposed by the method of lifting wavelet transform,low-frequency phase in the wavelet domain was extracted and corrected.Finally corrected low-frequency phase and high frequency phase was reconstructed.The results showed that:linear trend part in orbit residual error and atmospheric residual error of unwrapping phase could be effectively estimated and corrected by the lifting wavelet transform method,large residual points were removed and the quality of unwrapping phase diagram was improved.
引文
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[9] WANG Baohang,ZHAO Chaoying,LIU Yuanyuan.An improved SAR interferogram denoising method based on principal component analysis and the Goldstein filter[J].Remote Sensing Letters,2018,9(1):81-90.
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[12]LI Fangfang,LIN Xue,ZHANG Yueting,et al.SAR interferometrie phase filtering based on wavelet transform and local frequency estimation[C]∥2015IEEE5th Asia-Pacific Conference on Synthetic Aperture Radar(APSAR).[S.l.]:IEEE,2015:222-225.
[13]CAI Guolin,LIU Guoxiang,ZHANG Aoli,et al.Identification and estimation of InSAR interferogram noise based on wavelet transform[J].Journal of Remote Sensing,2014,18(3):537-546.
[14]ESCALANTE N,VILLA J,ROSA I D L,et al.A 2-D continuous wavelet transform method for InSAR phase-maps denoising[C/OL]∥Proceedings of SPIE:International Society for Optics and Photonics,2013[2018-06-14].https:∥www.deepdyve.com/lp/spie/a-2d-continuous-wavelet-transform-method-for-insarphase-maps-B1YsGxE2G7.
[15]何梦梦,郭擎,李安,等.特征级高分辨率遥感图像快速自动配准[J].遥感学报,2018,22(2):277-292.(HE Mengmeng,GUO Qing,LI An,et al.Automatic fast feature-level image registration for high-resolution remote sensing images[J].Journal of Remote Sensing,2018,22(2):277-292.)
[16]刘本强,赵争,盛玉婷,等.利用纹理融合与广义高斯模型的高分辨率SAR影像变化检测[J].测绘工程,2018,27(6):19-25.(LIU Benqiang,ZHAO Zheng,SHENG Yuting,et al.High resolution SAR image change detection based on texture fusion and generalized Gaussian model[J].Engineering of Surveying and Mapping,2018,27(6):19-25.)
[17]章明珠,郑敏,廖开阳.基于HAAR小波域边缘方向特征的SAR图像去噪[J].计算机应用与软件,2017,34(1):187-190.(ZHANG Mingzhu,ZHENG Min,LIAO Kaiyang.SAR image de-noising method based on edge direction features of Haar wavelet domain[J].Computer Applications and Software,2017,34(1):187-190.)
[18]李芳芳,林雪,胡东辉,等.结合局部频率估计的小波域InSAR相位滤波新方法[J].系统工程与电子技术,2015,37(12):2719-2724.(LI Fangfang,LIN Xue,HU Donghui,et al.Novel InSAR phase filtering method in wavelet domain integrated with local frequency estimation[J].Systems Engineering and Electronics,2015,37(12):2719-2724.)
[19]田莉萍,王建国.基于小波字典稀疏表示的SAR图像目标识别[J].雷达科学与技术,2014,12(1):44-50,57.(TIAN Liping,WANG Jianguo.Target recognition of SAR images based on sparse representation of wavelet dictionary[J].Radar Science and Technology,2014,12(1):44-50,57.)
[20]张静.InSAR时序监测及应用中的质量控制研究[D].西安:长安大学,2014.(ZHANG Jing.Study of quality control on InSAR time series monitoring and application[D].Xi’an:Chang’an University,2014.)
[21]何儒云,王耀南.一种基于小波变换的InSAR干涉图滤波方法[J].测绘学报,2006,35(2):128-132.(HE Ruyun,WANG Yaonan.InSAR interferogram filtering based on wavelet transform[J].Acta Geodaetica et Cartographica Sinica,2006,35(2):128-132.)
[22]HANSSEN R F.Radar interferometry:data interpretation and error analysis[M].Dordrecht Netherlands:Kluwer Academic Publishers,2001.
[23]刘留,杨学志,周芳,等.3维块匹配小波变换的极化SAR非局部均值滤波[J].遥感学报,2017,21(2):218-227.(LIU Liu,YANG Xuezhi,ZHOU Fang,et al.Non-local filtering for polarimetric SAR data based on three dimensional patch matching wavelet transform[J].Journal of Remote Sensing,2017,21(2):218-227.)
[24]王银婷,陈禾,庄胤,等.基于多种群遗传算法特征选择的SAR图像船只目标分类算法研究[J].计算机工程与应用,2017,53(S2):290-293.(WANG Yinting,CHEN He,ZHUANG Yin,et al.Ship classification based on multi-population genetic algorithm feature selection in SAR images[J].Computer Engineering and Applications,2017,53(S2):290-293.)
[25]吴生财.基于差异图融合及差异图去噪的SAR图像变化检测方法[D].西安:西安电子科技大学,2017.(WU Shengcai.The research of SAR image change detection based on difference image fusion and difference image denoising[D].Xi’an:Xidian University,2017.)
[26]胡华超,贾鑫,曹志强,等.基于小波变换的SAR相干斑抑制方法研究[J].遥测遥控,2012,33(3):37-41.(HU Huachao,JIA Xin,CAO Zhiqiang,et al.Research on SAR image speckle suppression based on wavelet transform[J].Journal of Telemetry,Tracking,and Command,2012,33(3):37-41.)
[27]廖明生,王腾.时间序列InSAR技术与应用[M].北京:科学出版社,2014.(LIAO Mingsheng,WANG Teng.Time series InSAR technique and application[M].Beijing:Sciences Press,2014.)
[28]PERISSIN D.Report of metawave project[R].[S.l.]:[s.n.],2010.
[29]PERISSIN D,ROCCA F,PIERDICCA M,et al.Mitigation of atmospheric delay in InSAR:the ESA metawave project[C]∥2011IEEE International Geoscience and Remote Sensing Symposium.[S.l.]:IEEE,2011:2558-2561.
[30]SHIRZAEI M,WALTER T R.Estimating the effect of satellite orbital error using wavelet-based robust regression applied to InSAR deformation data[J].IEEE Transactions on Geoscience and Remote Sensing,2011,49(11):4600-4605.
[31]吴秀君.改进提升小波阈值算法在信号去噪中的应用[J].激光杂志,2014,35(8):15-18.(WU Xiujun.Improved wavelet threshold based on lifting wavelet in application of signal de-noising[J].Laser Journal,2014,35(8):15-18.)
[2]徐华平,周荫清,李春升.星载干涉SAR中的基线问题[J].电子学报,2003,31(3):437-439.(XU Huaping,ZHOU Yinqing,LI Chunsheng.The analysis of baseline in spaceborne interferometric SAR[J].Acta Electronica Sinica,2003,31(3):437-439.)
[3]何敏,何秀凤.基于Kalman滤波的InSAR基线估计方法[J].遥感学报,2008,12(1):23-27.(HE Min,HE Xiufeng.An InSAR baseline estimation method using Kalman filter[J].Journal of Remote Sensing,2008,12(1):23-27.)
[4] LI Z H,MULLER J-P,CROSS P.Comparison of precipitable water vapor derived from radiosonde,GPS,and moderate-resolution imaging spectroradiometer measurements[J].Journal of Geophysical Research(Atmospheres),2003,108(D20):1-12.
[5] LI Z W,DING X L,LIU G X.Modeling atmospheric effects on InSAR with meteorological and continuous GPS observations:algorithms and some test results[J].Journal of Atmospheric and Solar-Terrestrial Physics,2004,66(11):907-917.
[6] DING Xiaoli,LI Zhiwei,ZHU Jianjun,et al.Atmospheric effects on InSAR measurements and their mitigation[J].Sensors(Basel),2008,8(9):5426-5448.
[7] LI Zhiwei.Modeling atmospheric effects on repeat-pass INSAR measurements[D].Hong Kong:Hong Kong Polytechnic Univrsity,2004.
[8] GAO Mingliang,GONG Huili,CHEN Beibei,et al.Regional land subsidence analysis in eastern Beijing plain by InSAR time series and wavelet transforms[J].Remote Sensing,2018,10(3):365.
[9] WANG Baohang,ZHAO Chaoying,LIU Yuanyuan.An improved SAR interferogram denoising method based on principal component analysis and the Goldstein filter[J].Remote Sensing Letters,2018,9(1):81-90.
[10]ANVARI R,SIAHSAR M A N,GHOLTASHI S,et al.Seismic random noise attenuation using synchrosqueezed wavelet transform and low-rank signal matrix approximation[J].IEEE Transactions on Geoscience&Remote Sensing,2017,55(11):6574-6581.
[11]LI Pengpeng,REN Xiaozhen.A filtering algorithm for InSAR interferogram based on wavelet transform and median filter[C]∥Progress in Electromagnetic Research Symposium.[S.l.]:IEEE,2016:2888-2892.
[12]LI Fangfang,LIN Xue,ZHANG Yueting,et al.SAR interferometrie phase filtering based on wavelet transform and local frequency estimation[C]∥2015IEEE5th Asia-Pacific Conference on Synthetic Aperture Radar(APSAR).[S.l.]:IEEE,2015:222-225.
[13]CAI Guolin,LIU Guoxiang,ZHANG Aoli,et al.Identification and estimation of InSAR interferogram noise based on wavelet transform[J].Journal of Remote Sensing,2014,18(3):537-546.
[14]ESCALANTE N,VILLA J,ROSA I D L,et al.A 2-D continuous wavelet transform method for InSAR phase-maps denoising[C/OL]∥Proceedings of SPIE:International Society for Optics and Photonics,2013[2018-06-14].https:∥www.deepdyve.com/lp/spie/a-2d-continuous-wavelet-transform-method-for-insarphase-maps-B1YsGxE2G7.
[15]何梦梦,郭擎,李安,等.特征级高分辨率遥感图像快速自动配准[J].遥感学报,2018,22(2):277-292.(HE Mengmeng,GUO Qing,LI An,et al.Automatic fast feature-level image registration for high-resolution remote sensing images[J].Journal of Remote Sensing,2018,22(2):277-292.)
[16]刘本强,赵争,盛玉婷,等.利用纹理融合与广义高斯模型的高分辨率SAR影像变化检测[J].测绘工程,2018,27(6):19-25.(LIU Benqiang,ZHAO Zheng,SHENG Yuting,et al.High resolution SAR image change detection based on texture fusion and generalized Gaussian model[J].Engineering of Surveying and Mapping,2018,27(6):19-25.)
[17]章明珠,郑敏,廖开阳.基于HAAR小波域边缘方向特征的SAR图像去噪[J].计算机应用与软件,2017,34(1):187-190.(ZHANG Mingzhu,ZHENG Min,LIAO Kaiyang.SAR image de-noising method based on edge direction features of Haar wavelet domain[J].Computer Applications and Software,2017,34(1):187-190.)
[18]李芳芳,林雪,胡东辉,等.结合局部频率估计的小波域InSAR相位滤波新方法[J].系统工程与电子技术,2015,37(12):2719-2724.(LI Fangfang,LIN Xue,HU Donghui,et al.Novel InSAR phase filtering method in wavelet domain integrated with local frequency estimation[J].Systems Engineering and Electronics,2015,37(12):2719-2724.)
[19]田莉萍,王建国.基于小波字典稀疏表示的SAR图像目标识别[J].雷达科学与技术,2014,12(1):44-50,57.(TIAN Liping,WANG Jianguo.Target recognition of SAR images based on sparse representation of wavelet dictionary[J].Radar Science and Technology,2014,12(1):44-50,57.)
[20]张静.InSAR时序监测及应用中的质量控制研究[D].西安:长安大学,2014.(ZHANG Jing.Study of quality control on InSAR time series monitoring and application[D].Xi’an:Chang’an University,2014.)
[21]何儒云,王耀南.一种基于小波变换的InSAR干涉图滤波方法[J].测绘学报,2006,35(2):128-132.(HE Ruyun,WANG Yaonan.InSAR interferogram filtering based on wavelet transform[J].Acta Geodaetica et Cartographica Sinica,2006,35(2):128-132.)
[22]HANSSEN R F.Radar interferometry:data interpretation and error analysis[M].Dordrecht Netherlands:Kluwer Academic Publishers,2001.
[23]刘留,杨学志,周芳,等.3维块匹配小波变换的极化SAR非局部均值滤波[J].遥感学报,2017,21(2):218-227.(LIU Liu,YANG Xuezhi,ZHOU Fang,et al.Non-local filtering for polarimetric SAR data based on three dimensional patch matching wavelet transform[J].Journal of Remote Sensing,2017,21(2):218-227.)
[24]王银婷,陈禾,庄胤,等.基于多种群遗传算法特征选择的SAR图像船只目标分类算法研究[J].计算机工程与应用,2017,53(S2):290-293.(WANG Yinting,CHEN He,ZHUANG Yin,et al.Ship classification based on multi-population genetic algorithm feature selection in SAR images[J].Computer Engineering and Applications,2017,53(S2):290-293.)
[25]吴生财.基于差异图融合及差异图去噪的SAR图像变化检测方法[D].西安:西安电子科技大学,2017.(WU Shengcai.The research of SAR image change detection based on difference image fusion and difference image denoising[D].Xi’an:Xidian University,2017.)
[26]胡华超,贾鑫,曹志强,等.基于小波变换的SAR相干斑抑制方法研究[J].遥测遥控,2012,33(3):37-41.(HU Huachao,JIA Xin,CAO Zhiqiang,et al.Research on SAR image speckle suppression based on wavelet transform[J].Journal of Telemetry,Tracking,and Command,2012,33(3):37-41.)
[27]廖明生,王腾.时间序列InSAR技术与应用[M].北京:科学出版社,2014.(LIAO Mingsheng,WANG Teng.Time series InSAR technique and application[M].Beijing:Sciences Press,2014.)
[28]PERISSIN D.Report of metawave project[R].[S.l.]:[s.n.],2010.
[29]PERISSIN D,ROCCA F,PIERDICCA M,et al.Mitigation of atmospheric delay in InSAR:the ESA metawave project[C]∥2011IEEE International Geoscience and Remote Sensing Symposium.[S.l.]:IEEE,2011:2558-2561.
[30]SHIRZAEI M,WALTER T R.Estimating the effect of satellite orbital error using wavelet-based robust regression applied to InSAR deformation data[J].IEEE Transactions on Geoscience and Remote Sensing,2011,49(11):4600-4605.
[31]吴秀君.改进提升小波阈值算法在信号去噪中的应用[J].激光杂志,2014,35(8):15-18.(WU Xiujun.Improved wavelet threshold based on lifting wavelet in application of signal de-noising[J].Laser Journal,2014,35(8):15-18.)
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