中国激光, 2015, 42 (3): 0315001, 网络出版: 2015-02-03   

基于LMD-Teager变换的功率谱估计

Method of Power Spectrum Estimation Based on LMD-Teager Transformation
作者单位
湖南文理学院信息研究所, 湖南 常德 415000
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。
Abstract
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.

蔡剑华, 王先春. 基于LMD-Teager变换的功率谱估计[J]. 中国激光, 2015, 42(3): 0315001. Cai Jianhua, Wang Xianchun. Method of Power Spectrum Estimation Based on LMD-Teager Transformation[J]. Chinese Journal of Lasers, 2015, 42(3): 0315001.

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