多族谐波信号估计的子空间匹配投影算法
A Method for Estimating Parameters of Multiple Harmonic Families Based on Subspace Matching Pursuit
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摘要: 该文根据子空间匹配投影分解算法,将信号自适应地分解在谐波子空间上,得到一种多族谐波信号参数估计的方法。这种方法利用插值FFT算法和谐波参数的先验信息,能分离基频或谐波频率结构较为紧密的不同族谐波分量,谐波频率估计精度高。仿真表明,这种新方法能准确地估计基频频率、谐波频率和阶数,对随机相位抖动也不敏感;用于分析实船噪声也准确反映了船舶辐射噪声功率谱的线谱规律和特点,较好地揭示了船舶的螺旋桨现场实际运行状况,是一种很有价值的多谐波参数估计方法。
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关键词:
- 匹配投影;子空间;谐波;基频
Abstract: This paper proposes a method to estimate multiple harmonic families parameters of a signal, which is based on subspace matching pursuit decomposition algorithm, and decomposes the signal into harmonic subspace adaptively. It takes advantages of interpolated FFT algorithm and the prior information of signals parameters, with high estimation precision of harmonic frequency, it has ability to distinguish signals harmonic components of different harmonic families, which have closed-spaced fundamental and harmonic frequencies. The trail indicates that it is a preferable method to estimate multiple harmonic families parameters, as it is insensitive to random phase-shift of harmonic components, and is useful to precisely estimate the fundamental, harmonic frequencies and order of a signal. This method also can be used to depict the features of a ship radiated-noise power spectrum, and to reveal the operation condition of the ship propellers. All of above show the advanced method is a valuable method for multiple harmonic parameters estimation of signals. -
徐峰,王志芳,杨玉冰. 振动信号非整周期谐波分析的验证和改进. 清华大学学报(自然科学版本),1999, 39(4): 53-66.[2]张建伟,相敬林. 使用小波理论分析信号功率谱的二次处理方[3]法. 信号处理,1999, 15(2): 125-129.[4]Mallat S G, Zhang Z. Matching pursuits with time-frequency dictionaries[J].IEEE Trans. on. SP.1993, 41 (12):3397-3415[5]Goodwin M. Matching pursuit with damped sinusoids. Proc. IEEE-ICASSP, Munich, Germany, 1997, 3: 2037-2040.[6]Gribonval R, Bacry E. Harmonic decomposition of audio signals with matching pursuit[J].IEEE Trans. on. SP.2003, 51 (1):101-111[7]胡广书著. 数字信号处理-理论、算法与实现. 北京: 清华大学出版社,1998: 149-153.[8]张贤达著. 信号处理中的线性代数. 北京: 科学出版社,1997: 95-119.
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