Using fractal dimension to target detection in bistatic SAR data

This paper proposes an algorithm for estimating the fractal dimension of real sea bistatic synthetic aperture radar data. The algorithm is based on the use of the fractal dimension estimated by the box counting method to detect the sub-data which contain the targets. Based on this approach, the performance of the fractal detector proposed in this paper was demonstrated by the evaluation of the probability of detection by means of Monte Carlo simulation and was verified that we can use the fractal dimension to distinguish between targets and clutter, even for a small signal-to-noise ratio.

[1]  M. Cherniakov,et al.  Space surface bistatic SAR with space-borne non-cooperative transmitters , 2005, European Radar Conference, 2005. EURAD 2005..

[2]  Benoit B. Mandelbrot,et al.  Fractal Geometry of Nature , 1984 .

[3]  Joachim H. G. Ender,et al.  Bistatic SAR Processing and Experiments , 2006, IEEE Transactions on Geoscience and Remote Sensing.

[4]  Dwight L. Jaggard,et al.  Scattering from fractally corrugated surfaces , 1990 .

[5]  Hubert Cantalloube,et al.  An Omega-K algorithm for SAR bistatic systems , 2005, Proceedings. 2005 IEEE International Geoscience and Remote Sensing Symposium, 2005. IGARSS '05..

[6]  Tricot Curves, length, fractal dimension , 1992 .

[7]  A. Khenchaf,et al.  Bistatic SAR: theory and simulation , 2005, 2005 IEEE Antennas and Propagation Society International Symposium.

[8]  Petros Maragos,et al.  Measuring the Fractal Dimension of Signals: Morphological Covers and Iterative Optimization , 1993, IEEE Trans. Signal Process..

[9]  Gregory W. Wornell,et al.  Estimation of fractal signals from noisy measurements using wavelets , 1992, IEEE Trans. Signal Process..

[10]  D. S. Mazel Detection of signals with a fractal model , 1993, Conference Proceedings National Telesystems Conference 1993.

[11]  Kenneth J. Hintz,et al.  Fractional Brownian motion models for synthetic aperture radar imagery scene segmentation , 1993, Proc. IEEE.

[12]  V. A. German,et al.  Fractal selection of artificial objects from radar images on inhomogeneous background , 2001, Fourth International Kharkov Symposium 'Physics and Engineering of Millimeter and Sub-Millimeter Waves'. Symposium Proceedings (Cat. No.01EX429).

[13]  Dwight L. Jaggard,et al.  FRACTAL SURFACE SCATTERING : A GENERALIZED RAYLEIGH SOLUTION , 1990 .

[14]  J.I. Butterfield,et al.  Fractal interpolation of radar signatures for detecting stationary targets in ground clutter , 1991, IEEE Aerospace and Electronic Systems Magazine.

[15]  C. Tricot Curves and Fractal Dimension , 1994 .

[16]  Mehrdad Soumekh,et al.  Bistatic synthetic aperture radar imaging using wide-bandwidth continuous-wave sources , 1998, Optics & Photonics.

[17]  Simon Haykin,et al.  Detection of signals in chaos , 1995, Proc. IEEE.