摘要
经验模态分解(EMD)算法是 Hilbert-Huang 变换(HHT)的核心算法,它的分解效果依赖于包络线的生成算法和端点延拓算法。采用分段幂函数插值算法求包络线,结合一种改进的端点延拓算法,得到了一种新的 EMD 算法。分析了分段幂函数插值算法的收敛精度,从数学角度解释了选取该插值算法的原因。最后,结合一个股票模型的仿真结果说明新的 EMD 算法效果更好。
Empirical mode decomposition (EMD), the core of Hilbert-Huang transformation, is reckoned on the algorithm of the extrama extending and generation of envelope curves. With the piecewise power function and an improved algorithm of extrama extending, a novel EMD algorithm was proposed. An error estimation of the piecewise power function interpolation was proposed to show the advantage of this algorithm. At last, a simulation on a stock model is presented.to show that this novel EMD algorithm is more applicable to analyze the nonlinear and non-stationary signal than the previous EMD algorithm.
出处
《系统仿真学报》
EI
CAS
CSCD
北大核心
2007年第2期446-447,464,共3页
Journal of System Simulation
基金
国家自然科学基金天元数学基金(A0324647)
河南省高校杰出科研人才创新工程项目(2003KJCX008)。
关键词
HHT算法
EMD分解
信号处理
插值算法
HHT algorithm
EMD decomposition
signal processing
interpolation algorithm