中山大学学报（自然科学版）Issue(6)：85-92,8.
基于Morlet小波尺度参数寻优的匹配追踪时频分析
Matching Pursuit Time-frequency Analysis Based on Morlet Wavelet Scale Parameter Optimization
摘要
Abstract
Matching pursuit time-frequency analysis has better time-frequency resolution compared to short-time Fourier transform,continuous wavelet transform,and generalized S transform,but the tradi-tional greed iterative algorithm has lower computation efficiency.The Morlet wavelet is chosen as time-frequency atoms to achieve the matching pursuit due to the good property of scale parameter.The scale parameter has strong control action on the form of time-frequency atom,thus has strong control action on the matching character between signal and time-frequency atom,through comparing and analyzing the forms of time-frequency atoms based on different scale parameters and the projection values of signal onto different time-frequency atoms with the same frequency,phase and time-delay parameters but different scale parameters.The 1 D optimization for scale parameter is done with the frequency,phase and time-de-lay parameters calculated by Hilbert transform as the parameters of time-frequency atoms.Then the pa-rameters are only needed to be fine-adjusted,and the computation efficiency is improved.The effective-ness of algorithm is tested by model data,and the algorithm is also tested on application of denosing and inversion for thin layer thickness.关键词
时频分析/匹配追踪/Morlet小波/尺度因子Key words
time-frequency analysis/matching pursuit/Morlet wavelet/scale parameter分类
天文与地球科学引用本文复制引用
范兴利,成谷..基于Morlet小波尺度参数寻优的匹配追踪时频分析[J].中山大学学报（自然科学版）,2014,(6):85-92,8.基金项目
国家自然科学基金青年基金资助项目（41004051）；国家高技术研究发展计划“863计划”资助项目 （）
