Correlation between multifractal spectrum based on wavelet leaders and T-wave alternans

R. Cardo, Á. Corvalán
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Abstract

In this work we analyze the correlation of the appearing T-wave alternans (TWA) with the shape (range) of the multifractal spectra of the ECG signals obtained with wavelet leaders based methods. A non-null correlation between the TWA occurring and lesser values for the Holder exponent of maximum dimension has been observed, in agreement with the idea that the projection of TWA must have a non-despicable contribution in the higher scales of the multiresolution analysis of the signal. We are developing new algorithms capable to deal with non-concave multifractal spectra based in wavelet leaders projections, instead of existing methods that only gives concave spectra. These new algorithms will give a finer resolution of Holder component of the signal and we hope that this richer information about the sharpness of the signal will allow better estimations of the magnitude of TWA and a closer relation between multifractal spectra and TWA occurring.
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基于小波前导和t波交替的多重分形谱的相关性研究
本文分析了基于小波前导的心电信号多重分形谱的形状(范围)与出现的t波交替(TWA)的相关性。在发生的TWA与最大维的Holder指数的较小值之间存在非零相关,这与TWA的投影在信号的多分辨率分析的较高尺度中必须有非微不足道的贡献的想法一致。我们正在开发新的算法,能够处理基于小波前导投影的非凹多重分形谱,而不是现有的只给出凹谱的方法。这些新算法将给出信号的Holder分量的更精细的分辨率,我们希望这些关于信号清晰度的更丰富的信息将允许更好地估计TWA的大小,以及多重分形谱与TWA发生之间的更密切关系。
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