On the fractal dimension of sea surface backscattered signal at low grazing angle

Fractal analysis of sea surface backscattering signal (sea clutter in radar terminology) represents a novel technique for the study of sea surface roughness. When Kirchhoff's assumption is satisfied, the fractal dimension of the signal is linearly related to the fractal dimension of the sea surface. Moreover, such a relationship is independent of transmitted frequency, polarization, time, space, sea wave propagation direction, incident angle (within the constraint of Kirchoff's assumption) and significant wave height. Nevertheless, for a low grazing angle, the Kirchhoff approximation does not hold and the behavior of the sea clutter fractal dimension cannot be theoretically predicted. The purpose of this paper is to investigate the fractal dimension of the sea clutter at low grazing angle, in order to extend the theoretical results. Moreover, the effects of the presence of a target on the sea surface are analyzed by means of the fractal dimension. Such an analysis is performed by using live recorded clutter data. In detail, the fractal dimension's dependence on space, time, sea wave propagation direction, sea wave height, transmitted polarization and presence of targets is investigated. A discussion on the use of the sea clutter fractal dimension for sea surface monitoring is addressed.

[1]  M. Holschneider,et al.  Electromagnetic scattering from multi-scale rough surfaces , 1997 .

[2]  Fabrizio Berizzi,et al.  One-dimensional fractal model of the sea surface , 1999 .

[3]  Fulvio Gini,et al.  High resolution sea clutter data: statistical analysis of recorded live data , 1997 .

[4]  F. Gini,et al.  Texture modelling, estimation and validation using measured sea clutter data , 2002 .

[5]  J. Apel,et al.  Principles of ocean physics , 1987 .

[6]  M. A. Srokosz,et al.  Estimating the fractal dimension of the sea surface: a first attempt , 1993 .

[7]  Pierre Borderies,et al.  Ultra wide band electromagnetic scattering of a fractal profile , 1997 .

[8]  Anastasios Drosopoulos Description of the OHGR Database. , 1994 .

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

[10]  Dwight L. Jaggard,et al.  Scattering from fractally corrugated surfaces with use of the extended boundary condition method , 1997 .

[11]  Marco Diani,et al.  Performance analysis of two adaptive radar detectors against non-Gaussian real sea clutter data , 2000, IEEE Trans. Aerosp. Electron. Syst..

[12]  F. Berizzi,et al.  Fractal approach for sea clutter generation , 2000 .

[13]  Kenneth Falconer,et al.  Fractal Geometry: Mathematical Foundations and Applications , 1990 .

[14]  Henry Leung,et al.  The use of fractals for modeling EM waves scattering from rough sea surface , 1996, IEEE Trans. Geosci. Remote. Sens..

[15]  F. Berizzi,et al.  Sea-wave fractal spectrum for SAR remote sensing , 2001 .

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

[17]  Petros Maragos,et al.  Energy separation in signal modulations with application to speech analysis , 1993, IEEE Trans. Signal Process..

[18]  Simon Haykin,et al.  Fractal characterisation of sea-scattered signals and detection of sea-surface targets , 1993 .

[19]  Giorgio Franceschetti,et al.  An electromagnetic fractal‐based model for the study of fading , 1996 .

[20]  Fabrizio Berizzi,et al.  Scattering from a 2D sea fractal surface: fractal analysis of the scattered signal , 2002 .

[21]  Dwight L. Jaggard,et al.  Wave scattering from non-random fractal surfaces , 1990 .

[22]  C. Sparrow The Fractal Geometry of Nature , 1984 .

[23]  F. Berizzi,et al.  Fractal analysis of the signal scattered from the sea surface , 1999 .

[24]  K. Hizanidis,et al.  Scattering from fractally corrugated surfaces: an exact approach. , 1995, Optics letters.

[25]  Patrick E. McSharry,et al.  Wave scattering by a two‐dimensional band‐limited fractal surface based on a perturbation of the Green’s function , 1995 .