CT理论与应用研究2017，Vol.26Issue(3)：267-277,11.DOI:10.15953/j.1004-4140.2017.26.03.02
基于解析信号重构的同步挤压小波变换的时频谱影响因素分析
Analysis of the Influence Factors on the Time-Frequency Spectrum Obtained by Synchrosqueezing Wavelet Transform based on Reconstruction of Analytic Signal
摘要
Abstract
Because of the limitation of Heisenberg's uncertainty principle,the algorithms of time-frequency spectrum decomposition,for example,wavelet transform,and S transform,cannot simultaneously have high resolution in time and frequency domain.In order to meet the higher requirements,there appeared a new method that combined wavelet transform with the time-frequency spectrum rearrangement,which is called synchrosqueezing wavelet transform.In this paper,the related parameters of the algorithm which affect the results of the time-frequency analysis,such as wavelet mother function and its parameter selection,wavelet threshold,are studied.The time-frequency spectrum ambiguity has been analyzed when the variation rate of instantaneous frequency of the signal not equals to zero.The generalized synchrosqueezing wavelet transform algorithm is studied,and the quality of time-frequency spectrum is improved to a certain degree.This result has a certain guiding significance for achieving high resolution time-frequency spectrum.关键词
同步挤压小波变换/时频谱/解析信号重构/小波阈值Key words
synchrosqueezing wavelet transform/time-frequency spectrum/reconstruction of analytic signal/wavelet threshold分类
数理科学引用本文复制引用
游龙庭,宋建国,于会臻,王月蕾..基于解析信号重构的同步挤压小波变换的时频谱影响因素分析[J].CT理论与应用研究,2017,26(3):267-277,11.基金项目
国家科技重大专项“准噶尔盆地碎屑岩层系油气富集规律与勘探评价”(2016ZX05002-006). （2016ZX05002-006）
