Abstract

This paper focuses on the multifractal property of the sea clutter frequency spectrum and analyzes the influencing factors of the multifractal property. First, the theoretical foundation introducing multifractal theory for analyzing the sea clutter frequency spectrum is laid. The datasets from the X-band and S-band coherent radars are then used to verify the multifractal property of the sea clutter frequency spectrum, and multifractal detrended fluctuation analysis (MF-DFA) is subsequently adopted for carrying out the multifractal analysis of the sea clutter frequency spectrum. The analytical results of the multifractal analysis show that the sea clutter frequency spectrum sequence is a multifractal sequence because of the long-range correlations and broad probability distributions. The multifractal parameter in the frequency domain, i.e. the generalized Hurst exponent in the frequency domain, has, to some extent, the ability to distinguish sea clutter range bins from target range bins. In addition, by analyzing the influencing factors of the generalized Hurst exponent in the frequency domain, it is found that the length of the time sequence used for the FFT has more affect on the generalized Hurst exponent in the frequency domain, while the length of the FFT has less affect.

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