【作者】 王春； 彭东林；

【Author】 Wang Chun~1 Peng Donglin~2 ~1(State Key Laboratory of Mechanical Transmission, Chongqing University, Chongqing 400044, China) ~2(Chongqing Institute of Technology, Chongqing 400050, China)

【机构】 重庆大学机械传动国家重点实验室； 重庆工学院；

【摘要】 Hilbert-Huang变换是最新发展起来的处理非线性非平稳信号的时频分析方法。其基本的实现分为两步,经验模态的分解和瞬时频率的求解,随后可以获得信号的时—频谱表示。这种方法的关键部分是经验模态分解,任何复杂的信号都可以分解为有限数目并且具有一定物理意义的模态函数,对这些固有模态函数作Hilbert变换,就可得到每一个固有模态函数的瞬时频谱。介绍了Hilbert-Huang变换的基本步骤,并列举了一些实例说明该方法的优越性。更多还原

【Abstract】 Hilbert-Huang transform(HHT) is a new two-step time-frequency analytic method to analyze the nonlinear and non-stationary signal. The key step of this method is empirical mode decomposition (EMD) method with which any complicated data set can be decomposed into a finite and often small number of intrinsic mode functions (IMF). Using Hilbert transform to those IMF components can yield instantaneous frequency, the final presentation of this results is a energy frequency-time distribution, designated as the Hilbert spectrum, examples from the numerical results of signal are given to demonstrate the power of this new method, those results can clarify the advance and efficient of this method.更多还原