基于双谱的正弦信号重构
|
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。
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 performance 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.
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 performance 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.
引文
[1]齐国清,贾欣乐.基于DFT相位的正弦波频率和初相的高精度估计方法[J].电子学报,2001,29(9):1164-1167.QI Guoqing,JIA Xinle.High Accuracy Frequency and Phase Estimation of Signle-Tone Based on Phase of DFT[J].Acta Electronica Sinica,2001,29(9):1164-1167.
[2]Dusan Agrez,Improving Phase Estimation with Leakage Minimization[C]//IMTC 2004–Instrumentation and Measurement Technology Conference,Como,Italy,162-167,2004.05.
[3]孙景荣,许录平,王婷.基于双谱谐波的脉冲星信号消噪方法[J].华中科技大学学报:自然科学版,2010,38(8):9-12.SUN Jingrong,XU Luping,WANG Ting.Denoising pulsar signal by bispectrum filters[J].Journal of Huazhong University of Science and Technology:Nature Science,2010,38(8):9-12.
[4]李亚峻,李月,高颖.基于双谱幅值和相位重构的地震子波提取[J].地球物理学进展,2007,22(3):947-952.LI Yajun,LI Yue,GAO Ying.A method of Extracting Seismic Wavelet based on Bispectrum Amplitude and Phase Reconstruction[J].Process in Geophysics,2007,22(3):947-952.
[5]樊养余,李平安,孙进才,等.基于双谱的谐波信号相位重构[J].信号处理,2000,16(1):2-5.FAN Yangyu,LI Pingan,SUN Jincai,et al.Accurate phase reconstruction of measured signals from bispecgrum[J].Signal Processing,2000,16(1):2-5.
[6]牛鹏辉,涂亚庆.一种基于双谱的正弦波初相估计方法[J].电测与仪表,2006,43(490):1-3.NIU Penghui,TU Yaqing.Phase estimation of sinusoidal signal based on bispectrum[J].Electrical Measurement&Instrumentation.2006,43(490):1-3.
[7]Rife D C,Vincent G A.Use of discrete fourier transform in the measurement of frequencies and levels of tones[J].Bell Syst Tech.J.,1970,49(2):197-228.
[8]丁康,江利旗.离散频谱的能量重心校正法[J].振动工程学报,2001,14(3):354-358.DING Kang,JIANG Liqi.Energy centrobaric correction method for discrete spectrum[J].Journal of Vibration Engineering,2001,14(3):354-358.
[2]Dusan Agrez,Improving Phase Estimation with Leakage Minimization[C]//IMTC 2004–Instrumentation and Measurement Technology Conference,Como,Italy,162-167,2004.05.
[3]孙景荣,许录平,王婷.基于双谱谐波的脉冲星信号消噪方法[J].华中科技大学学报:自然科学版,2010,38(8):9-12.SUN Jingrong,XU Luping,WANG Ting.Denoising pulsar signal by bispectrum filters[J].Journal of Huazhong University of Science and Technology:Nature Science,2010,38(8):9-12.
[4]李亚峻,李月,高颖.基于双谱幅值和相位重构的地震子波提取[J].地球物理学进展,2007,22(3):947-952.LI Yajun,LI Yue,GAO Ying.A method of Extracting Seismic Wavelet based on Bispectrum Amplitude and Phase Reconstruction[J].Process in Geophysics,2007,22(3):947-952.
[5]樊养余,李平安,孙进才,等.基于双谱的谐波信号相位重构[J].信号处理,2000,16(1):2-5.FAN Yangyu,LI Pingan,SUN Jincai,et al.Accurate phase reconstruction of measured signals from bispecgrum[J].Signal Processing,2000,16(1):2-5.
[6]牛鹏辉,涂亚庆.一种基于双谱的正弦波初相估计方法[J].电测与仪表,2006,43(490):1-3.NIU Penghui,TU Yaqing.Phase estimation of sinusoidal signal based on bispectrum[J].Electrical Measurement&Instrumentation.2006,43(490):1-3.
[7]Rife D C,Vincent G A.Use of discrete fourier transform in the measurement of frequencies and levels of tones[J].Bell Syst Tech.J.,1970,49(2):197-228.
[8]丁康,江利旗.离散频谱的能量重心校正法[J].振动工程学报,2001,14(3):354-358.DING Kang,JIANG Liqi.Energy centrobaric correction method for discrete spectrum[J].Journal of Vibration Engineering,2001,14(3):354-358.
版权所有：© 2023 中国地质图书馆 中国地质调查局地学文献中心