局部均值分解方法中乘积函数判据问题研究

摘要

针对局部均值分解方法(Local mean decomposition,LMD)的乘积函数(Product function,PF)判据问题,根据乘积函数具有正交性的特点,将正交性判据(Orthogonality criterion,OC)引入了LMD方法.即将每次迭代后的OC值与预先确定的阈值进行比较,以此来确定乘积函数迭代过程的终止点.通过对仿真信号和实际信号的分析,验证了采用正交性判据确定的乘积函数满足正交性要求,反映了信号内含的物理信息,从而实现了对信号正确的分解.%To determine the product function ( PF) criterion in local mean decomposition ( LMD ) method, the orthogonality criterion ( OC ) was introduced into LMD method on the basis of the orthogonality of PFs. The iteration's end point of PFs was defined by comparing the value of OC in each iteration with a fixed threshold. By analyzing the simulated and actual signals, it is validated that the PFs defined by the orthogonality criterion satisfy the orthogonality condition and reflect the internal physic information of the analyzed signals. Thus, the signal's correct decomposition can be achieved.