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Published October 2017 | metadata_only
Journal Article

A two-level method for sparse time-frequency representation of multiscale data


Based on the recently developed data-driven time-frequency analysis (Hou and Shi, 2013), we propose a two-level method to look for the sparse time-frequency decomposition of multiscale data. In the two-level method, we first 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 difficulty of the mode mixing to some extent. We also present a method to reduce the end effects.

Additional Information

© Science China Press and Springer-Verlag GmbH Germany 2017. This work was supported by National Science Foundation of USA (Grants Nos. DMS-1318377 and DMS-1613861) and National Natural Science Foundation of China (Grant Nos. 11371220, 11671005, 11371173, 11301222 and 11526096). Dedicated to Professor LI TaTsien on the Occasion of His 80th Birthday.

Additional details

August 21, 2023
August 21, 2023