Detection of Microlocal Singularity Directions of Multi-dimensional Signals

Chen Xiao-qiang; Wang Qiao; Wu Le-nan

Volume 26 Issue 5

May 2004

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Article Navigation > Journal of Electronics & Information Technology > 2004 > 26(5): 696-701

Chen Xiao-qiang, Wang Qiao, Wu Le-nan. Detection of Microlocal Singularity Directions of Multi-dimensional Signals[J]. Journal of Electronics & Information Technology, 2004, 26(5): 696-701.

Citation:

Chen Xiao-qiang, Wang Qiao, Wu Le-nan. Detection of Microlocal Singularity Directions of Multi-dimensional Signals[J]. Journal of Electronics & Information Technology, 2004, 26(5): 696-701.

Chen Xiao-qiang, Wang Qiao, Wu Le-nan. Detection of Microlocal Singularity Directions of Multi-dimensional Signals[J]. Journal of Electronics & Information Technology, 2004, 26(5): 696-701.

Citation:

Chen Xiao-qiang, Wang Qiao, Wu Le-nan. Detection of Microlocal Singularity Directions of Multi-dimensional Signals[J]. Journal of Electronics & Information Technology, 2004, 26(5): 696-701.

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Detection of Microlocal Singularity Directions of Multi-dimensional Signals

Received Date: 2002-12-29
Rev Recd Date: 2003-04-11
Publish Date: 2004-05-19

Abstract

Abstract

Detecting singularities of multi-dimensional signals is important and interesting in various fields. The edge of an image and the directions of singularity can be regarded as a wavefront set in the meaning of microlocal analysis, which is intuitively illustrated from the viewpoint of engineering in this paper. A wavefront detection algorithm is proposed, which is based on microlocal analysis and can be applied to image analysis, multi-dimensional signal detection and many other related fields. Experimental results indicate that this algorithm is simple and successful.

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References(1)

References

Martin H. Efficient One-, Two- and Multidimensional High-Resolution Array Signal Processing.Aachen: Shaker Verlag, 1997: 9-57.[2]Margaret C. Synthetic Aperture Radar (SAR) and Microlocal Analysis, Dept. of Mathematical Sciences, Rensselaer Polytechnic Institute, March 2002.[3]Margaret C. A mathematical tutorial on synthetic aperture radar[J].SIAM Review.2001, 43(2):301-312[4]Ashino R, Heil C, Nagase M, Vaillancourt R. Microlocal filtering with multiwavelets[J].Computers and Mathematics with Applications.2001, 41:111-133[5]王桥,吴乐南.方向正交小波基与信号的方向性分析.应用科学学报,2000,18(1):76-79. ［6］齐民友.线性偏微分算子引论(上)[M].北京,科学出版社,1984:508-518.[6]Popivanov P R, Iordanov I V. Paradifferential operators and propagation of singularities for nonlinear P. D. E.. Akademic der Wissenschaften dev DDR. Institut fur Mathematile, 1983.[7]Hyvarinen A. Survey on independent component analysis. Neural Computing Surveys, 1999, 2:94-128.

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