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谐波恢复的联合对角化算法

聂卫科 冯大政 张斌

聂卫科, 冯大政, 张斌. 谐波恢复的联合对角化算法[J]. 电子与信息学报, 2009, 31(2): 331-334. doi: 10.3724/SP.J.1146.2007.01286
引用本文: 聂卫科, 冯大政, 张斌. 谐波恢复的联合对角化算法[J]. 电子与信息学报, 2009, 31(2): 331-334. doi: 10.3724/SP.J.1146.2007.01286
Nie Wei-ke, Feng Da-zheng, Zhang Bin. Joint Diagonalization Algorithm for Harmonic Retrieval[J]. Journal of Electronics & Information Technology, 2009, 31(2): 331-334. doi: 10.3724/SP.J.1146.2007.01286
Citation: Nie Wei-ke, Feng Da-zheng, Zhang Bin. Joint Diagonalization Algorithm for Harmonic Retrieval[J]. Journal of Electronics & Information Technology, 2009, 31(2): 331-334. doi: 10.3724/SP.J.1146.2007.01286

谐波恢复的联合对角化算法

doi: 10.3724/SP.J.1146.2007.01286
基金项目: 

国家自然科学基金(60672128)资助课题

Joint Diagonalization Algorithm for Harmonic Retrieval

  • 摘要: 该文构造一组具有对角结构的特征矩阵,提出一种新的迭代算法完成这组特征矩阵的联合对角化,进而恢复出谐波频率。新方法将经典ACDC算法的四次代价函数简化为二次代价函数;且每步迭代具有精确的最小二乘闭式解,消除了ACDC算法的误差积累问题。仿真实验表明该方法估计性能优于TLS-ESPRIT 算法和ACDC算法,尤其在低信噪比下性能显著提高。
  • Roy R, Paulraj A, and Kailath T. ESPRIT-A subspacerotation approach to estimation of parameters of cisoids innoise[J].IEEE Trans. on Acoust., Speech, Signal Processing.1986, 34(10):1340-1342[2]Roy R and Kailath T. ESPRIT estimation of signalparameters via rotational invariance techniques[J].IEEE Trans.on Acoust, Speech, Signal Processing.1989, 37(7):984-995[3]Yeredor A. Non-orthogonal joint diagonalization in theleast-squares sense with application in blind sourceseparation[J].IEEE Trans. on Signal Processing.2002, 50(7):1545-1553[4]Vollgraf R and Obermayer K. Quadratic optimization forsimultaneous matrix diagonalization[J].IEEE Trans. on SignalProcessing.2006, 54(9):3270-3278[5]Vanpoucke F, Moonen M, and Berthoumieu Y. An efficientsubspace algorithm for 2-D harmonic retrieval. Proc. IEEEICASSP, Adelaide, Australia, 1994: 461-464.[6]Zhou Yi, Feng Dazheng, and Liu Jianqiang. A novelalgorithm for two-dimensional frequency estimation [J].Signal Processing.2007, 87(1):1-12[7]Feng Dazheng, Zhang Xianda, and Bao Zheng. A neuralnetwork learning for adaptively extracting cross-correlationfeatures between two high-dimension data streams[J].IEEETrans. on Neural Networks.2004, 15(6):1541-1553[8]Ziehe A, Laskov P, and Nolte G. A fast algorithm for jointdiagnolization with non-orthogonal transformation and itsapplication to blind signal separation. J Mach. Learn. Res.,2004, 5(7): 777-800.[9]Golub G H and Loan C F V. Matrix Computation. Baltimore,MD: Johns Hopkins Univ. Press, 1989, Chapter 10.
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出版历程
  • 收稿日期:  2007-08-06
  • 修回日期:  2008-02-04
  • 刊出日期:  2009-02-19

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