Abry P, Wendt H, Jaffard S, Helgason H, Goncalves P, Pereira E, Gharib Cl, Gaucherand P, Doret M
Annu Int Conf IEEE Eng Med Biol Soc. 2010;2010:106-9. doi: 10.1109/IEMBS.2010.5626124.
The present contribution aims at proposing a comprehensive and tutorial introduction to the practical use of wavelet Leader based multifractal analysis to study heart rate variability. First, the theoretical background is recalled. Second, practical issues and pitfalls related to the selection of the scaling range or statistical orders, minimal regularity, parabolic approximation of spectrum and parameter estimation, are discussed. Third, multifractal analysis is connected explicitly to other standard characterizations of heart rate variability: (mono)fractal analysis, Hurst exponent, spectral analysis and the HF/LF ratio. This review is illustrated on real per partum fetal ECG data, collected at an academic French public hospital, for both healthy fetuses and fetuses suffering from acidosis.
本文旨在对基于小波领导者的多重分形分析在心率变异性研究中的实际应用进行全面且具有教程性质的介绍。首先，回顾理论背景。其次，讨论与尺度范围或统计阶数的选择、最小正则性、频谱的抛物线近似以及参数估计相关的实际问题和陷阱。第三，将多重分形分析与心率变异性的其他标准特征明确联系起来：（单）分形分析、赫斯特指数、频谱分析和高频/低频比值。本文使用在法国一家学术性公立医院收集的真实分娩期胎儿心电图数据进行说明，这些数据来自健康胎儿和患有酸中毒的胎儿。
