For complex wavelet bivariate filtering only considering real part, ignoring the imaginary part, it directly leads to the increase of signal phase noise,and influences the effect of filtering, An filtering algorithm based on complex wavelet and complex domain bivariate mode is proposed.Double variable Bayesian estimation algorithm was promoted from real field to complex field, the correlations between real and imaginary part were depicted using noise probability density function, the noise variance and the signal variance were estimated making use of the wavelet decomposition complex coefficient,complex domain double variable filtering model was established, Bayesian estimation of interferogram was obtained. Experimental results show that the algorithm has a stronger inhibitory noise ability, keep the edges and details of interferogram, the filtering performance is better than real domain complex wavelet bivariate filtering, Goldstein filtering, single wavelet filtering and optimal integration filtering methods.
[1] GE Linlin, CHANG H C, RIZOS C. Mine Subsidence Monitoring Using Multi-source Satellite SAR Images[J]. Photogrammetric Engineering & Remote Sensing, 2007, 73(3): 259-266.
[2] ZEBKER H A, VILLASENOR J. Decorrelation in Interferometric Radar Echoes[J]. IEEE Transactions on Geoscience and Remote Sensing, 1992, 30(5): 950-959.
[3] GOLDSTEIN R M, WERNER C L. Radar Interferogram Filtering for Geophysical Applications[J]. Geophysical Research Letters, 1998, 25(21): 4035-4038.
[4] BARAN I, STEWART M P, KAMPES B M, et al. A Modification to the Goldstein Radar Interferogram Filter[J]. IEEE Transactions on Geoscience and Remote Sensing, 2003, 41(9): 2114-2118.
[5] LI Zhiwei, DING Xiaoli, HUANG C, et al. Improved Filtering Parameter Determination for the Goldstein Radar Interferogram Filter[J]. ISPRS Journal of Photogrammetry and Remote Sensing, 2008, 63(6): 621-634.
[6] SUN Qian, LI Zhiwei, ZHU Jianjun, et al. Improved Goldstein Filter for Insar Noise Reduction Based on Local SNR[J]. Journal of Central South University, 2013, 20(7): 1896-1903.
[7] LEE J S, PAPATHANASSIOU K P, AINSWORTH T L, et al. A New Technique for Noise Filtering of SAR Interferometric Phase Images[J]. IEEE Transactions on Geoscience and Remote Sensing, 1998, 36(5): 1456-1465.
[8] 廖明生, 林珲, 张祖勋, 等. InSAR干涉条纹图的复数空间自适应滤波[J]. 遥感学报, 2003, 7(2): 98-105. LIAO Mingsheng, LIN Hui, ZHANG Zuxun, et al. Adaptive Algorithm for Filtering Interferometric Phase Noise[J]. Journal of Remote Sensing, 2003, 7(2): 98-105.
[9] 尹宏杰, 李志伟, 丁晓利, 等. InSAR干涉图最优化方向融合滤波[J]. 遥感学报, 2009, 13(6): 1099-1105. YIN Hongjie, LI Zhiwei, DING Xiaoli, et al. Optimal Integration-based Adaptive Direction Filter for InSAR Interferogram[J]. Journal of Remote Sensing, 2009, 13(6): 1092-1098.
[10] AHMED S M, ELDIN F A E, TAREK A M. Speckle Noise Reduction in SAR Images Using Adaptive Morphological Filter[C]//Proceedings of the 10th International Conference Intelligent Systems Design and Applications. Cairo: IEEE, 2010, 29: 260-265.
[11] 黄长军, 郭际明, 喻小东, 等. 干涉图EMD-自适应滤波去噪法[J]. 测绘学报, 2013, 42(5): 707-714. HUANG Changjun, GUO Jiming, YU Xiaodong, et al. The Study of Interferogram Denoising Method Based on EMD and Adaptive Filter[J]. Acta Geodaetica et Cartographica Sinica, 2013, 42(5): 707-714.
[12] 易辉伟, 朱建军, 陈建群, 等. 一种改进的InSAR干涉图复数空间自适应滤波[J]. 中南大学学报(自然科学版), 2013, 44(2): 632-641. YI Huiwei, ZHU Jianjun, CHEN Jianqun, et al. An Improved Adaptive Algorithm for Filtering InSAR Interferogram in Complex Plane[J]. Journal of Central South University (Science and Technology), 2013, 44(2): 632-641.
[13] 靳国旺, 韩晓丁, 贾博, 等. InSAR干涉图的矢量分离式小波滤波[J]. 武汉大学学报(信息科学版), 2008, 33(2): 132-135. JIN Guowang, HAN Xiaoding, JIA Bo, et al. Filtering for InSAR Interferograms by Vector Decomposing and Wavelet Transformation[J]. Geomatics and Information Science of Wuhan University, 2008, 33(2): 132-135.
[14] 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.
[15] 蔡国林, 李永树, 刘国祥. 小波-维纳组合滤波算法及其在InSAR干涉图去噪中的应用[J]. 遥感学报, 2009, 13(1): 129-136. CAI Guolin, LI Yongshu, LIU Guoxiang. Wavelet-Wiener Combined Filter and Its Application on InSAR Interferogram[J]. Journal of Remote Sensing, 2009, 13(1): 129-136.
[16] 范洪冬, 邓喀中, 庞蕾, 等. 结合边缘信息的DT-CWT干涉图滤波算法[J]. 武汉大学学报(信息科学版), 2012, 37(7): 810-813. FAN Hongdong, DENG Kazhong, PANG Lei, et al. Interferogram Filtering Algorithm by Considering Edge Information in DT-CWT Domain[J]. Geomatics and Information Science of Wuhan University, 2012, 37(7): 810-813.
[17] 蔡国林, 刘国祥, 张奥丽, 等. 基于小波域的InSAR干涉图噪声识别与估计[J]. 遥感学报, 2014, 18(3): 537-546. 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.
[18] SELESNICK I W, BARANIUK R G, KINGSBURY N C. The Dual-tree Complex Wavelet Transform[J]. IEEE Signal Processing Magazine, 2005, 22(6): 123-151.
[19] 刘帅奇, 胡绍海, 肖扬. 基于复Shearlet域高斯混合模型的SAR图像去噪[J]. 航空学报, 2013, 34(1): 173-180. LIU Shuaiqi, HU Shaohai, XIAO Yang. SAR Image De-noising Based on Complex Shearlet Transform Domain Gaussian Mixture Model[J]. Acta Aeronautica et Astronautica Sinica, 2013, 34(1): 173-180.
[20] CHANG S G, YU Bin, VETTERLI M. Adaptive Wavelet Thresholding for Image Denoising and Compression[J]. IEEE Transactions on Image Processing, 2000, 9(9): 1532-1546.