Piecewise fractional Brownian motion for modeling sea clutter

Liu Ning-Bo; Guan Jian; Huang Yong; Wang Guo-Qing; He You

doi:10.7498/aps.61.190503

Abstract

In this paper we mainly study the application of piecewise fractional Brownian motion (PFBM) to modeling radar sea clutter. Because the research objects in nature and man-made systems are usually not perfectly fractal in mathematics, the fractal properties of these researched objects cannot hold in the whole scale interval. Traditionally, the mono-fractal model of sea clutter only makes use of the self-similarity of sea clutter within the scale-invariant interval for parameter estimation but ignores the information contained in the scales outside the scale-invariant interval. The PFBM describes the sea clutter piecewisely in frequency domain, which corresponds to describing the sea clutter in time domain respectively on the large scale and on the fine scale. Combining the physical background, the PFBM model can explain the mechanism of the different roughnesses of a sea clutter time sequence respectively on the large scale and on the fine scale. Subsequently, in the paper, we study the effects of moving targets with different Doppler frequencies on sea clutter. The results show that moving targets can cause different effects on sea clutter respectively on the large scale and on the fine scale.

Keywords:

Authors and contacts

1.
Department of Electronic and Information Engineering, Naval Aeronautical and Astronautical University, Yantai 264001, China
Funds: Project supported by the National Natural Science Foundation of China (Grant Nos. 61179017, 60802088), and the Mountain Tai Scholars of China and Areo Science Foundation of China (Grant No. 20095184004).

References

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[15]	Drosopoulos A 1994 Defence Research Establishment Ottawa, 1994 Tech. Note No. 94-14
[16]	Hu J, Tung W W, Gao J B 2006 IEEE Trans. Antenna Propag. 54 136

Cited By

[1]	Savaidis S, Frangos Y 1995 Opt. Lett. 20 2357
[2]	Lo T, Leung H, Haykin S 1993 IEE Proc. F 140 243
[3]	Chang Y C, Chang S 2002 IEEE Trans. Signal Proc. 50 554
[4]	Salmasi M, Modarres-Hashemi M 2009 Chaos, Solitons & Fractals 40 2133
[5]	He T, Zhou Z O 2007 Acta Phys. Sin. 56 693 (in Chinese) [贺涛, 周正欧 2007 56 693]
[6]	Jiang B, Wang H Q, Li X, Guo G R 2006 Acta Phys. Sin. 55 3985 (in Chinese) [姜斌, 王宏强, 黎湘, 郭桂蓉 2006 55 3985]
[7]	Xu X K 2010 IEEE Trans. Antenna Propag. 581425
[8]	Guan J, Liu N B, Huang Y 2011 Fractal Theory and Its Application in Radar Target Detection (Beijing: Electronic Industry Press) p117 (in Chinese) [关键, 刘宁波, 黄勇 2011 雷达目标检测的分形理论及应用(北京:电子工业出版社) 第117页].
[9]	Perrin E, Harba R, Iribarren I, Jennane R 2005 IEEE Trans. Signal Proc. 53 1211
[10]	Falconer K 2007 Fractal Geometry: Mathematical Foundations and Applications (2nd Ed.) (Beijing: Posts & Telecom Press) p231 (in Chinese) [Falconer K 2007 分形几何:数学基础及其应用(第2版) (北京: 人民邮电出版社) 第231页]
[11]	Reed I S, Lee P C, Truong T K 1995 IEEE Trans. Inf. Theory 41 1439
[12]	Deriche M, Tewfik A H 1993 IEEE Trans. Signal Proc. 41 1239
[13]	Kaplan L M, Jay Kuo C C 1994 IEEE Trans. Signal Proc. 42 3526
[14]	Kaplan L M, Kuo C C 1995 IEEE Trans. Pattern Anal. Mach. Intell. 17 1043
[15]	Drosopoulos A 1994 Defence Research Establishment Ottawa, 1994 Tech. Note No. 94-14
[16]	Hu J, Tung W W, Gao J B 2006 IEEE Trans. Antenna Propag. 54 136

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Catalog

Vol. 61, Issue 19 - 2012-10-05

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