基于NGWarblet-WVD的高质量时频分析方法  

High Quality Time-frequency Analysis via Normalized Generalized Warblet-WVD

作　　者：郝国成[1,2,3] 冯思权 王巍 凌斯奇[1,3] 谭淞元 HAO Guo-Cheng;FENG Si-Quan;WANG Wei;LING Si-Qi;TAN Song-Yuan(School of Mechanical Engineering and Electronic Information,University of Geosciences(Wuhan),Wuhan 430074;Hubei Key Laboratory of Advanced Control and Intelligent Automation for Complex Systems,Wuhan 430074;Hubei Key Laboratory of Intelligent Geo-Information Processing,Wuhan 430074)

机构地区：[1]中国地质大学(武汉)机械与电子信息学院,武汉430074 [2]复杂系统先进控制与智能自动化湖北省重点实验室,武汉430074 [3]智能地学信息处理湖北省重点实验室,武汉430074

出　　处：《自动化学报》2022年第10期2526-2536,共11页Acta Automatica Sinica

基　　金：国家自然科学基金(61333002);111项目(B17040),资助。

摘　　要：针对高聚集度Wigner-Ville distribution (WVD)时频分析方法存在严重的交叉项干扰问题,利用广义Warblet变换(Generalized Warblet transform, GWT)不产生虚假频率分量的特点,提出了WVD与GWT相结合的归一化广义Warblet-WVD (Normalized generalized Warblet-WVD, NGWT-WVD)算法.该算法将GWT与WVD进行矩阵运算,实现滤波效应,抑制WVD产生的新交叉项以及混入自项的交叉项,提高WVD的时频分析质量.实验结果表明, NGWT-WVD方法有效地去除了多分量信号的交叉项干扰,提高信号分析结果的时频聚集度,还原多分量信号的真实时频分布.采用NGWT-WVD方法处理金属疑似破裂样本信号,获取破裂发生区间的时间和频率标志段,为监测传感器设置有效门限值提供判据,取得了良好效果.To solve the cross-terms interference of the high-aggregation Wigner-Ville distribution(WVD) time-frequency analysis method, a normalized generalized Warblet-WVD(NGWT-WVD) algorithm combining WVD and generalized Warblet transform(GWT) is proposed by using the characteristics of GWT without false frequency components. The algorithm can achieve the filtering effect by matrix operations on the GWT and WVD, and suppress new cross terms generated by WVD and cross terms mixed with its self terms. At the same time, it also improves the time-frequency analysis quality of WVD. The experimental results show that the NGWT-WVD method effectively removes the crossterm interference of multi-component signals and improves the time-frequency aggregation of the analysis results, the truly time-frequency distribution of the multi-component signal is restored. The NGWT-WVD method is used to process the sample signal suspected rupture of the metal, and the time and frequency flag segments of the rupture interval are obtained, which provides the basis for determining the effective threshold value of the monitoring sensor and achieves satisfactory results.

关 键 词：时频分析 交叉项干扰 Wigner-Ville 分布 广义 Warblet 变换 疑似金属破裂信号 

分 类 号：TN911.7[电子电信—通信与信息系统]