Mirror extending and circular spline function for empirical mode decomposition method |
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| Authors: | Zhao Jin-ping Huang Da-ji |
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| Institution: | (1) Second Institute of Oceanography, State Oceanic Administration, 310012 Hangzhou, China |
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| Abstract: | The Mirror Extending (ME) approach is proposed in this paper for solving the end extending issue in the Empirical Mode Decomposition
(EMD) method. By this approach, the data extended into a closed circuit without end. The derivatives on ends are not necessary
any more for Spline fingth. The approach eliminates the possible problems in reliability and uniqueness in the original extending
approach of the EMD method. In the ME approach only one extending is necessary before the data analysis. A tipient criterion
is proposed here for checking the extending approach. ME approach has been proved to satisy the theoretical criterion automatically
and permanently. This approach makes the EMD method reliable and casy to follow.
Project supported by NSFC (49634140, 49876008). Contribution No. 2001B001 from the Key Lab of Ocean Dynamic Processes and
Satellite Oceanography, SOA. |
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| Keywords: | empirical mode decomposition mirror extension circular Spline function the series analysis time-frequency domain |
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