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Zhong Youming
Qin Shuren
Tang Baoping
Department of Mechanical Engineering,
Chongqing University,
Chongqing 400030, China |
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RESEARCH ON THEORETIC
EVIDENCE AND REALIZATION OF
DIRECTLY-MEAN EMD METHOD*
Abstract: Emprical mode decomposition(EMD) is a method and principle of decomposing signal dealing with Hilbert-Huang transform (HHT) in signal analysis, while directly-mean EMD is an improved EMD method presented by N. E. Huang, the inventor of HHT, which is aimed at solving the problems of EMD principle. Although the directly-mean EMD method is very remarkable with its advantages and N. E. Huang has given a method to realize it, he did not find the theoretic evidence of the method so that the feasibility of the idea and correctness of realizing the directly-mean EMD method is still indeterminate. For this a deep research on the forming process of complex signal is made and the involved stationary point principle and asymptotic stationary point principle are demonstrated, thus some theoretic evidences and the correct realizing way of directly-mean EMD method is firstly presented. Some simulation examples for demonstrating the idea presented are given.
Key words:
Hilbert-Huang transform Directly-mean EMD method Theoretic evidence realization
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