Two-dimensional multifractal cross-correlation analysis

Caiping Xi, Shuning Zhang, Gang Xiong, Huichang Zhao and Yonghong Yang

Chaos, Solitons & Fractals, 2017, vol. 96, issue C, 59-69

Abstract: There are a number of situations in which several signals are simultaneously recorded in complex systems, which exhibit long-term power-law cross-correlations. This paper presents two-dimensional multifractal cross-correlation analysis based on the partition function (2D-MFXPF), two-dimensional multifractal cross-correlation analysis based on the detrended fluctuation analysis (2D-MFXDFA) and two-dimensional multifractal cross-correlation analysis based on the detrended moving average analysis (2D-MFXDMA). We apply these methods to pairs of two-dimensional multiplicative cascades (2D-MC) to do a comparative study. Then, we apply the two-dimensional multifractal cross-correlation analysis based on the detrended fluctuation analysis (2D-MFXDFA) to real images and unveil intriguing multifractality in the cross correlations of the material structures. At last, we give the main conclusions and provide a valuable reference on how to choose the multifractal algorithms in the potential applications in the field of SAR image classification and detection.

Keywords: Two-dimensional multifractal cross-correlation analysis based on the partition function; Two-dimensional multifractal cross-correlation analysis based on the detrended fluctuation analysis; Two-dimensional multifractal cross-correlation analysis based on the detrended moving average analysis; Two-dimensional multiplicative cascades (search for similar items in EconPapers)
Date: 2017
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:96:y:2017:i:c:p:59-69

DOI: 10.1016/j.chaos.2017.01.004

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