Wavelet based fractal method in early human development

M. Akay, E. Mulder
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引用次数: 2

Abstract

Fractal methods have found to be useful in characterizing biomedical signals. The use of fractal estimation requires the estimation of parameter H, which is directly related to the fractal dimension D. However, traditional fractal analysis requires that the biomedical signals be stationary. Here, the authors propose a novel approach which is a combination of the wavelet transform and fractal estimators to characterize the human fetal breathing signals. This study was performed on 26 fetuses. The variances of the wavelet coefficients were estimated at each scale. The slope of the representation on a logarithmic plot from the scales 5 to 1 was used to estimate the fractal dimension of the fetal breathing signals. The authors' results suggested that fetal breathing rates have a rough structure.
基于小波的人类早期发展分形方法
人们发现分形方法在表征生物医学信号方面很有用。使用分形估计需要对参数H进行估计,而参数H与分形维数d直接相关。而传统的分形分析要求生物医学信号是平稳的。在此,作者提出了一种结合小波变换和分形估计的方法来表征人类胎儿呼吸信号。这项研究对26个胎儿进行了研究。在每个尺度上估计小波系数的方差。从5到1的对数图上的斜率被用来估计胎儿呼吸信号的分形维数。作者的研究结果表明,胎儿的呼吸频率有一个粗略的结构。
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