摘要
局域均值分解(LMD)方法是一种新的自适应信号处理方法,Teager能量算子是求解信号瞬时能量的非线性操作算法,能有效提取信号的瞬时能量。结合这两种方法的优点,提出一种基于LMD-Teager变换的功率谱估计方法,给出了算法原理和步骤,讨论了功率谱估计的物理意义,并在与快速傅里叶变换(FFT)方法、小波变换对比的基础上,用短数据序列和非平稳信号进行了仿真验证。结果表明:该方法突破了FFT方法中对所分析的信号必须平稳的要求,更适合于非平稳信号的处理;且对数据长度的要求较傅里叶方法低,而其分析精度和分辨率优于传统的傅氏方法和小波变换。
Local mean decomposition（LMD） method is a new adaptive signal processing method. Teager energy operator is an algorithm to solve the signl instantaneous energy, which can effectively extract instantaneous energy of nonlinear signals. Combined with the advantages of two methods, a method of power spectrum estimation is proposed based on LMD-Teager transformation. The principle and steps of the method are presented and the physical meaning of power spectrum estimation is discussed. On the basis of the comparison with the fast Fourier tranform algorithm（FFT） method and wavelet transform, A short data sequence and non-stationary signal are simulated to verify the effect of the proposed method. The results show that the proposed method breaks through the difficulty that the FFT method just can process the stationary signal, and it is more suitable for non-stationary signal. The length of the required data is shorter than that in Fourier method, and the analysis accuracy and resolution are better than that of traditional Fourier method and wavelet transform.
出处
《中国激光》
EI
CAS
CSCD
北大核心
2015年第3期311-317,共7页
Chinese Journal of Lasers
基金
国家自然科学基金(41304098)
湖南省自然科学基金(12JJ4034)
湖南省教育厅青年项目(13B076)
湖南省重点建设学科-光学基金(12GX020)
湖南文理学院博士启动项目(BSQD1008)
湖南省重点实验室光电信息集成与光学制造技术
湖南省光电信息技术校企联合人才培养基地
关键词
傅里叶光学
局域均值分解
TEAGER能量算子
功率谱估计
时频谱
Fourier optics
local mean decomposition
Teager energy operator
power spectrum estimation
time-frequency spectrum
