A two-level method for sparse time-frequency representation of multiscale data Dedicated to Professor LI TaTsien on the Occasion of His 80th Birthday

作     者：LIU ChunGuang SHI ZuoQiang HOU Thomas Yizhao 

作者机构：Department of Mathematics Jinan University Yau Mathematical Sciences Center Tsinghua University Department of Computing and Mathematical Sciences California Institute of Technology 

出 版 物：《Science China Mathematics》 (中国科学：数学（英文版）)

年 卷 期：2017年第60卷第10期

页      面：1733-1752页

核心收录：

学科分类：0711[理学-系统科学] 07[理学] 08[工学] 080401[工学-精密仪器及机械] 0804[工学-仪器科学与技术] 080402[工学-测试计量技术及仪器] 0701[理学-数学] 

基　　金：supported by National Science Foundation of USA (Grants Nos. DMS1318377 and DMS-1613861) National Natural Science Foundation of China (Grant Nos. 11371220, 11671005, 11371173, 11301222 and 11526096) 

主　　题：sparse representation time-frequency analysis matching pursuit two-level method end effects 

摘      要：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 *** also present a method to reduce the end effects.