Multifractal Characteristics Analysis on Stratospheric Aerostat RCS

In this paper, the mechanism of fractal generation to the radar cross section (RCS) concerning a stratospheric aerostat is analyzed, and the multifractal detrended fluctuation analysis (MFDFA) method is introduced to quantitatively describe the multifractal characteristics of aerostat RCS time series. A case study shows that the calculated Hurst exponent decreases with increasing of the order of overall root mean square, which indicates that aerostat RCS time series has multifractal characteristics. Besides, the calculated multifractal spectrum shows up as a bell-shaped curve with a wider spectrum width, which reveals that the multifractal characteristics of aerostat RCS time series are strong. Furthermore, the influence of various polynomial orders in MFDFA on the calculated multifractal spectrum is compared. All these results can provide help for the prediction of stratospheric aerostat RCS time series, and the identification of airborne targets.