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A Two-Level Method for Sparse Time-Frequency Representation of Multiscale Data

Chunguang Liu Jinan University Zuoqiang Shi Tsinghua University Thomas Y. Hou Caltech

Numerical Analysis and Scientific Computing mathscidoc:1709.25003

Science China Mathematics
Based on the recently developed data-driven time-frequency analysis [16], we propose a two-level method to look for the sparse time-frequency decomposition of multiscale data. In the two-level method, we rst run a local algorithm to get a good approximation of the instantaneous frequency. We then pass this instantaneous frequency to the global algorithm to get an accurate global Intrinsic Mode Function (IMF) and instantaneous frequency. The two-level method alleviates the diculty of the mode mixing to some extent. We also present a method to reduce the end e ects.
Sparse representation, Time-Frequency analysis, matching pursuit, two-level method, end e ects
[ Download ] [ 2017-09-25 16:45:31 uploaded by shizqi ] [ 736 downloads ] [ 0 comments ] 
@inproceedings{chunguanga,
  title={A Two-Level Method for Sparse Time-Frequency Representation of Multiscale Data},
  author={Chunguang Liu, Zuoqiang Shi, and Thomas Y. Hou},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20170925164531827801821},
  booktitle={Science China Mathematics},
}
Chunguang Liu, Zuoqiang Shi, and Thomas Y. Hou. A Two-Level Method for Sparse Time-Frequency Representation of Multiscale Data. In Science China Mathematics. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20170925164531827801821.
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