CAJ | 학술논문

为解决三次样条插值（Cubic Spline Interpolation）局部均值分解（Local Mean Decomposition）（CSI-LMD）方法的分解精度及计算效率偏低问题，提出了一种利用三次 Hermite 插值（Cubic Hermite Interpolation，CHI）和正交性准则（Orthogonality Criterion，OC）对 CSI-LMD 进行改进的新方法。该方法首先以三次 Hermite 插值代替三次样条插值，求解信号的上/下包络线及均值曲线；其次，用 OC 判据作为分解过程中乘积函数（Product function，PF）迭代结束的判断条件；最后，与 LMD 方法的其他步骤相结合，形成了一种新的 CHI-LMD 方法。仿真和实验结果表明，CHI-LMD 方法在分解精度、时间消耗、PF 分量的正交性以及分离故障转子的特征振动成分等方面，比 CSI-LMD 方法更具优势。
위해결삼차양조삽치（Cubic Spline Interpolation）국부균치분해（Local Mean Decomposition）（CSI-LMD）방법적분해정도급계산효솔편저문제，제출료일충이용삼차 Hermite 삽치（Cubic Hermite Interpolation，CHI）화정교성준칙（Orthogonality Criterion，OC）대 CSI-LMD 진행개진적신방법。해방법수선이삼차 Hermite 삽치대체삼차양조삽치，구해신호적상/하포락선급균치곡선；기차，용 OC 판거작위분해과정중승적함수（Product function，PF）질대결속적판단조건；최후，여 LMD 방법적기타보취상결합，형성료일충신적 CHI-LMD 방법。방진화실험결과표명，CHI-LMD 방법재분해정도、시간소모、PF 분량적정교성이급분리고장전자적특정진동성분등방면，비 CSI-LMD 방법경구우세。
To solve the problem that the accuracy and efficiency of the cubic spline interpolation-based local mean decomposition (CSI-LMD)method are relatively low,an improved LMD approach based on cubic Hermite interpolation (CHI)and orthogonality criterion (OC)was proposed here.Firstly,the cubic spline interpolation was replaced with the cubic Hermite interpolation.Furthermore,the orthogonality criterion was employed to determine the iteration procedures of deriving each product function.Finally,a novel CHI-LMD algorithm was developed by integrating other procedures of the original LMD.The simulation and experimental results showed that the proposed method performs much better than the CSI-LMD method does in several aspects including decomposition accuracy,time consumption and so on.