HHT的改进及其在时频信号分析中的应用研究
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摘要
在希尔伯特—黄变换的筛选过程中,用三次样条插值法求取极值包络通常会出现"过冲"问题。根据本征模态分解原理,提出了极值序列加密方法,并通过与极值延拓法结合,得到改进的HHT,该算法可以较好的改善"过冲"问题,得到更为准确的信号特征。应用改进的HHT方法分析了线性调频连续波(FMCW)信号,仿真结果表明了改进方法对于低信噪比条件下线性调频信号的提取更彻底,参数估计更准确。
In the shifting process of Hilbert-Huang transform,there is usually an "overshoot and undershoot" problem by using cubic spline interpolation method for the extremum envelopes.Based on the theory of Empirical Mode Decomposition,a method of increasing the extreme points into the extreme sequence is proposed.Combining with the boundary endpoint extension method,this method can improve the "overshoot and undershoot" problem and get more accurate signal characteristics.For frequency modulation continuous wave,the simulation results show that the improved HHT method can extract more characteristics for the low SNR non-stationary signals than the conventional HHT method,and the parameter estimations are more accurate.
In the shifting process of Hilbert-Huang transform,there is usually an "overshoot and undershoot" problem by using cubic spline interpolation method for the extremum envelopes.Based on the theory of Empirical Mode Decomposition,a method of increasing the extreme points into the extreme sequence is proposed.Combining with the boundary endpoint extension method,this method can improve the "overshoot and undershoot" problem and get more accurate signal characteristics.For frequency modulation continuous wave,the simulation results show that the improved HHT method can extract more characteristics for the low SNR non-stationary signals than the conventional HHT method,and the parameter estimations are more accurate.
引文
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[4]刘喜武,刘洪,等.局域波分解及其在地震信号时频分析中的应用[J].地球物理学进展,2007,22(2):365-375.
[5]毛炜,金荣洪,耿军平,等.一种基于改进Hilbert-Huang变换的非平稳信号时频分析法及其应用[J].上海交通大学学报,2006,40(5):724-729.
[6]黄大吉,赵进平,苏纪兰.希尔伯特-黄变换的端点延拓[J].海洋学报(中文版),2003(1):1-11.
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[8]PACE P E.Adaptive Power-Managed FMCW Emitter De-tection Performance Against Low-RCS Ships[C]//Thirty-Fifth Asilomar Conference on Signals,Systems and Com-puters,2001.
[9]LUTFIYE DURAK,ORHAN ARLKAN.Short-Time Fou-rier Transform:Two Fundamental Properties and an Opti-mal Implementation[J].IEEE Trans on Signal Process-ing,2003,5(5):1 231-1 242.
[10]关治,陈景良.数值计算方法[M].北京:清华大学出版社,2010.
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