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

• 来源期刊: 中国科学（数学）
• 年，卷（期）: 2017,（10）
• 页码范围: 1733-1752
• 页数: 20页
• 语种: 中文
• DOI: 10.1007/s11425-016-9088-9

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 extent.We also present a method to reduce the end effects.