文章摘要
路伟涛,杨文革,洪家财,王立彬.基于双谱的正弦信号重构[J].声学技术,2013,32(5):426~429
基于双谱的正弦信号重构
Sinusoidal signal reconstruction based on bispectrum
投稿时间:2012-04-21  修订日期:2012-07-17
DOI:10.3969/j.issn1000-3630.2013.05.014
中文关键词: 频率估计  初相估计  双谱  重心法  栅栏效应
英文关键词: frequency estimation  initial phase estimation  bispectrum  center method  fence effect
基金项目:总装试验技术研究项目(2011SY41A7001)
作者单位E-mail
路伟涛 装备学院, 北京 101416 lwteecspku@126.com 
杨文革 装备学院, 北京 101416  
洪家财 装备学院, 北京 101416  
王立彬 装备学院, 北京 101416  
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中文摘要:
      双谱由于和傅里叶变换存在一定变换关系,也存在栅栏效应,这给基于双谱的频率估计带来误差。为克服该效应,提出了双谱幅值模平方重心法,该方法以双谱幅值谱线的局域重心作为频率的估计值。仿真结果表明该方法的估计性能良好,且复杂度相对简单、运算量较小、实时性较强。同时为充分利用采样数据,采用不同方式构造出两组数据,再对这两组数据分别做双谱分析并估计正弦信号的频率和初相,最后进行平均处理,从而降低了估计方差,改善了估计均值,提高了估计性能。
英文摘要:
      Related to Fourier transform, the bispectrum also has fence effect, which brings error to the bispectrum based frequency estimation. To overcome this influence, the bispectrum squared amplitude center method is proposed, which uses the local center of bispectrum lines to estimate frequency. Simulations show that this algorithm has good perfor-mance and less computation complexity. To make full use of the sampled data, two data sets are constructed to pursue bispectrum analysis. Thereafter, the frequency and initial phase of these two data sets are estimated respectively. Finally, average processing is performed to reduce the variance of estimation, so that improves the estimation performance.
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