Liang Hualou, Lin Qiu-Hua, Chen J D Z
School of Health Information Sciences, University of Texas at Houston, 7000 Fannin, Suite 600, Houston, TX 77030, USA.
IEEE Trans Biomed Eng. 2005 Oct;52(10):1692-701. doi: 10.1109/TBME.2005.855719.
The Empirical Mode Decomposition (EMD) is a general signal processing method for analyzing nonlinear and nonstationary time series. The central idea of EMD is to decompose a time series into a finite and often small number of intrinsic mode functions (IMFs). An IMF is defined as any function having the number of extrema and the number of zero-crossings equal (or differing at most by one), and also having symmetric envelopes defined by the local minima, and maxima respectively. The decomposition procedure is adaptive, data-driven, therefore, highly efficient. In this contribution, we applied the idea of EMD to develop strategies to automatically identify the relevant IMFs that contribute to the slow-varying trend in the data, and presented its application on the analysis of esophageal manometric time series in gastroesophageal reflux disease. The results from both extensive simulations and real data show that the EMD may prove to be a vital technique for the analysis of esophageal manometric data.
经验模态分解(EMD)是一种用于分析非线性和非平稳时间序列的通用信号处理方法。EMD的核心思想是将一个时间序列分解为有限且通常数量较少的固有模态函数(IMF)。IMF被定义为具有相等数量的极值点和过零点(或最多相差一个),并且分别具有由局部最小值和最大值定义的对称包络的任何函数。分解过程是自适应的、数据驱动的,因此效率很高。在本论文中,我们应用EMD的思想来开发策略,以自动识别对数据中的缓慢变化趋势有贡献的相关IMF,并展示了其在胃食管反流病食管测压时间序列分析中的应用。大量模拟和实际数据的结果表明,EMD可能被证明是分析食管测压数据的一项重要技术。