The Application of KL Transform to Remove Direct Wave in Ground Penetrating Radar Records

In ground penetrating radar (GPR) records, because of different kinds of noises, especially direct wave of ground surface, the real target is not seen clearly in the radar echo section, which makes the detection of real targets difficult. Considering that the direct waves among traces are not change greatly and have strong correlation, so it can be restrained by certain methods. KL transform often be used to pick up coherent noises and random noises in multi channel seismic records[U 4]. In this paper, KL transform is used to GPR data processing, which fully uses the different second-order statistic characteristics of their correlations on the direct wave, target signals in multi channel GPR data. The target signals are successfully separated form noises according to the corresponding relation of the eigenvalue's magnitude of the correlation matrix and correlation strength of each component in the multi channel GPR data.

[1]  Xiang-Gen Xia,et al.  On vector Karhunen-Loeve transforms and optimal vector transforms , 1995, IEEE Trans. Circuits Syst. Video Technol..

[2]  Avideh Zakhor,et al.  Efficient video similarity measurement with video signature , 2003, IEEE Trans. Circuits Syst. Video Technol..

[3]  I. F. Jones,et al.  SIGNAL‐TO‐NOISE RATIO ENHANCEMENT IN MULTICHANNEL SEISMIC DATA VIA THE KARHUNEN‐LOÉVE TRANSFORM* , 1987 .

[4]  Liu Si-xin The Application of KL Transform to Remove Horizontal Coherent Noise in GPR Record , 2005 .

[5]  Kilian Q. Weinberger,et al.  Unsupervised Learning of Image Manifolds by Semidefinite Programming , 2004, Proceedings of the 2004 IEEE Computer Society Conference on Computer Vision and Pattern Recognition, 2004. CVPR 2004..

[6]  Yap-Peng Tan,et al.  Unsupervised clustering of dominant scenes in sports video , 2003, Pattern Recognit. Lett..

[7]  Yelena Yesha,et al.  Keyframe-based video summarization using Delaunay clustering , 2006, International Journal on Digital Libraries.

[8]  Masahiro Nakagawa,et al.  Generalized Karhunen-Loeve Transformation I (Theoretical Consideration) , 1987, IEEE Trans. Commun..

[9]  Avideh Zakhor,et al.  Applications of Video-Content Analysis and Retrieval , 2002, IEEE Multim..

[10]  Michael Lindenbaum,et al.  Sequential Karhunen-Loeve basis extraction and its application to images , 1998, Proceedings 1998 International Conference on Image Processing. ICIP98 (Cat. No.98CB36269).

[11]  J. Tenenbaum,et al.  A global geometric framework for nonlinear dimensionality reduction. , 2000, Science.

[12]  Robert Pless,et al.  Manifold clustering , 2005, Tenth IEEE International Conference on Computer Vision (ICCV'05) Volume 1.

[13]  Michael Lindenbaum,et al.  Sequential Karhunen-Loeve basis extraction and its application to images , 1998, Proceedings 1998 International Conference on Image Processing. ICIP98 (Cat. No.98CB36269).

[14]  Robert Pless,et al.  Image spaces and video trajectories: using Isomap to explore video sequences , 2003, Proceedings Ninth IEEE International Conference on Computer Vision.

[15]  Zhang Guangzhi,et al.  Noise suppressing by wavelet transform in seismic data processing , 2004, Proceedings 7th International Conference on Signal Processing, 2004. Proceedings. ICSP '04. 2004..

[16]  Jung-Hwan Oh,et al.  Scenario based dynamic video abstractions using graph matching , 2005, MULTIMEDIA '05.

[17]  Håkan Brunzell,et al.  Detection of shallowly buried objects using impulse radar , 1999, IEEE Trans. Geosci. Remote. Sens..