Fractal analysis of the signal scattered from the sea surface

Berizzi, F.; Dalle-Mese, E.

doi:10.1109/8.761073

Cited by 53 publications

(28 citation statements)

References 8 publications

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“…Specifically, we will show that under Kirchhoff approximation, the fractal dimension of the EM received signal is linearly linked to the fractal dimension of the surface. This result is an extension of the one presented in [20] to the case of a 2-D geometry, which is obviously more realistic than a one-dimensional (1-D) profile. This paper starts from the expression of the scattering coefficient found in [1] and describes step by step the analytical manipulations that lead to the final result.…”

Section: Introductionmentioning

confidence: 59%

“…This choice is very useful to validate the obtained result because it is a situation where the numerical outcomes can be theoretically predicted. In fact, following the same demonstration found in [20], the dominant term of scattering coefficient is with and [see (19)]. So, the plots of the real and imaginary part of the scattering coefficient should be similar to the graph of a WM function and its fractal dimension should be equal to the one of the sea surface profile.…”

Section: Numerical Resultsmentioning

confidence: 91%

“…By means of (33), we have (AIII.1) as shown at the bottom of the next page. By considering that for and following [20,Appendix C] 3) shown at the bottom of the page, is a constant greater than zero 0 and independent on .…”

Section: Appendix IIImentioning

confidence: 99%

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Scattering from a 2D sea fractal surface: fractal analysis of the scattered signal

Berizzi

Dalle-Mese

2002

IEEE Trans. Antennas Propagat.

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This paper is the second part of the work presented in the June Issue of the IEEE TRANSACTIONS ON ANTENNAS AND PROPAGATION. We analytically demonstrate that the electromagnetic (EM) sea scattered signal retains certain fractal properties of the sea surface. Starting from the expression of the scattering coefficient derived in the first part of the work, we theoretically show that the fractal dimension of the in phase and quadrature components of the EM signal scattered from a sea fractal surface is linearly related to the fractal dimension of the sea surface. This result holds under the hypothesis of Kirchhoff approximation. Bearing in mind that the sea fractal dimension gives a measure of the irregularity degree of the surface, we can exploit this result to make a remote estimation of the roughness surface through the fractal analysis of the scattered signal. This is a very interesting result and it could be successfully used in remote sensing applications for classification, target detection, sea surface traffic monitoring, sea current analysis, oil slick and ship wakes recognition, pollution analysis, etc.

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Section: Introductionmentioning

confidence: 59%

Section: Numerical Resultsmentioning

confidence: 91%

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Scattering from a 2D sea fractal surface: fractal analysis of the scattered signal

Berizzi

Dalle-Mese

2002

IEEE Trans. Antennas Propagat.

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“…An important issue in remote sensing is therefore to understand the impact of fractal characteristics on electromagnetic wave scattering. Recently, several simple models such as Weierstrass functions of fractional Brownian motion have been proposed to describe multiscale rough surfaces and the diffracted field has been studied by means of the usual approximations (Kirchhoff approach [1][2][3][4][5][6][7], the Extended Boundary Condition Method [8], [9] or Integral Equation Method [10]). Some qualitative results relating the scattering amplitude to fractal dimensions of the surface have been exhibited but failed to give a precise and general way of computing the latter quantities.…”

Section: Introductionmentioning

confidence: 99%

Scattering on Multi-Scale Rough Surfaces

Guérin

Saillard

Holschneider

2001

Waves and Imaging Through Complex Media

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“…It is demonstrated [7] that the graphs of the in-phase and quadrature components of the sea clutter are fractal curves with the same fractal dimension. Therefore, for the simulations, the fractal dimension of the in-phase component of signals is used in fractal-multiresolution and regular fractal based detectors according to (2).…”

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confidence: 97%

Fractal-multiresolution based detection of targets within sea clutter

Pournejatian

Nayebi

2012

Electron. Lett.

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A wavelet transform focuses on localised signal structures with a zooming procedure that progressively reduces the scale parameter. On the other hand, fractal geometry has recently been applied to the analysis of high range resolution radar sea clutters. Using both concepts in designing a new detector, reveals considerable improvement in performance of target detection within sea clutter. In support of this argument, simulation results using real radar data samples are presented.Introduction: The concept of fractal geometry has been employed to model the roughness of sea surface and to investigate the scattering from rough surfaces [1]. Haykin et al.[2] applied fractal geometry theory to the analysis of real radar signals scattered from rough sea surfaces collected using IPIX radar. It was shown that the presence of a target changes the fractal dimension of the radar's returns and this variation could be used to detect the presence of a target. However, as stated in [2], the detection results are preliminary and are by no means conclusive at that stage of research. Salmasi and Modarres-Hashemi [3] demonstrated that the fractal detector has great capabilities in the rejection of coloured clutter. Nayebi and PourNejation [4] have not used the fractal dimension directly. Instead, correlation coefficients between the logarithm of box-counts and the scales in the time domain have been utilised. In our previous paper [5], an enhanced fractal based detection method was presented.In this Letter we propose a novel fractal based detector with multiresolution analysis, which takes into account the fractal dimension of the received signal. The role of this input is to provide finer analysis of the possible target echo embedded in a sea surface backscattered signal. Performance comparison of this detector and a fractal based [3] as well as energy detectors for real high resolution samples of sea clutter and noise shows significant improvement. The real data samples have been captured by IPIX radar [6].

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Fractal analysis of the signal scattered from the sea surface

Cited by 53 publications

References 8 publications

Scattering from a 2D sea fractal surface: fractal analysis of the scattered signal

Scattering from a 2D sea fractal surface: fractal analysis of the scattered signal

Scattering on Multi-Scale Rough Surfaces

Fractal-multiresolution based detection of targets within sea clutter

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