Fractals · 2006 · 41 citations · 47 references
Natural SciencesEarth SciencesPhysical OceanographyRemote SensingTime Series AnalysisFractal GeometryRadar Signal ProcessingClutter Statistics ModelingFractal AnalysisFractal FeaturesRobust DetectionTarget DetectionTime ScalesWavelet AnalysisWavelet-based Analysis
Sea clutter refers to the radar returns from a patch of ocean surface. Accurate modeling of sea clutter and robust detection of low observable targets within sea clutter are important problems in remote sensing and radar signal processing applications. Due to lack of fundamental understanding of the nature of sea clutter, however, no simple and effective methods for detecting targets within sea clutter have been proposed. To help solve this important problem, we apply three types of fractal scaling analyses, fluctuation analysis (FA), detrended fluctuation analysis (DFA), and the wavelet-based fractal scaling analysis to study sea clutter. Our analyses show that sea clutter data exhibit fractal behaviors in the time scale range of about 0.01 seconds to a few seconds. The physical significance of these time scales is discussed. We emphasize that time scales characterizing fractal scaling break are among the most important features for detecting patterns using fractal theory. By systematically studying 392 sea clutter time series measured under various sea and weather conditions, we find very effective methods for detecting targets within sea clutter. Based on the data available to us, the accuracy of these methods is close to 100%.
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Wide area traffic: the failure of Poisson modeling
Vern Paxson, Sally Floyd · IEEE/ACM Transactions on Networking · 1995 · 3.7K citations · Full text
Long-range correlations in nucleotide sequences
Chung‐Kang Peng, Sergey V. Buldyrev, Ary L. Goldberger et al. · Nature · 1992 · 1.4K citations