期刊文献+

提升小波尺度自适应非线性预测算子构造方法 被引量:4

Design of scale adaptive nonlinear prediction operator of lifting scheme based on SVR
在线阅读 下载PDF
导出
摘要 提出一种提升小波尺度自适应非线性预测算子的构造方法。通过相空间重构将剖分信号转换成训练样本,采用基于高斯核函数的支持向量回归机算法进行回归训练,给出所构造预测算子的结构,并说明基于高斯核函数实现最小均方误差原则的机理。通过仿真实验验证用所构建预测算子在故障诊断时具有较好的识别能力和较强的抗噪能力,在信号降噪时信噪比较高、效果良好。 A new method of the construction of scale adaptive nonlinear prediction operator was proposed. The split signal was translated into training sample by the reconstruction method of phase space. Support vector regression (SVR) with the gauss kernel was used to construct prediction operator. The construction of scale adaptive nonlinear prediction operator was given. And the reason for achieving minimize mean squared error (MMSE) was derived. The simulation result shows that this method has good recognition ability and noise immunity at fault diagnosis, and has better SNR at denoising.
出处 《中南大学学报(自然科学版)》 EI CAS CSCD 北大核心 2012年第3期992-996,共5页 Journal of Central South University:Science and Technology
基金 国家高技术研究发展计划("863"计划)项目(2010AA8090514-C)
关键词 提升小波变换 尺度自适应 非线性预测算子 支持向量回归机 最小均方误差原则 lifting scheme scale adaptive nonlinear prediction operator support vector regression (SVR) minimizemean squared error (MMSE)
  • 相关文献

参考文献13

  • 1Sweldens W. The lifting scheme: A custom-design construction of biorthogonal wavelets[J]. Applied and Computational Harmonic Analysis, 1996, 3(2): 186-200.
  • 2Sweldens W. The lifting scheme: A construction of second generation wavelet[J]. SIAM Journal on Mathematical Analysis, 1998, 29(2): 511-546.
  • 3Roger L C. Adaptive wavelet transforms via lifting[D]. Texas: Rice University. Department of Electrical and Computer Engineering, 1999:31-51.
  • 4Annabelle G, Marc A, Michel B, et al. Design of signal-adapted multidimensional lifting scheme for lossy coding[J]. IEEE Transactions on Image Processing, 2004, 13(12): 1589-1603.
  • 5LI Zhen, HE Zheng-jia, ZI Yan-yang, et al. Rotating machinery fault diagnosis using signal-adapted lifting scheme[J]. Mechanical Systems and Signal Processing, 2008, 22(22): 542-556.
  • 6Heijmans H, Piella G, Pesquet P B. Adaptive wavelets for image compression using update lit~ing: Quantization and error analysis[J]. International Journal of Wavelets, Multiresolution and Information Processing, 2006, 4(1): 41-63.
  • 7Gameroa L G, Plastinob A, Torresa M E. Wavelet analysis and nonlinear dynamics in a nonextensive setting[J]. Physica A: Statistical and Theoretical Physics, 1997, 246(3/4): 487-509.
  • 8Roger L C, Davis G M, Sweldens W, et al. Nonlinear wavelet transforms for image coding via lifting[J]. IEEE Transactions on Image Process, 2003, 12(12): 1449-1459.
  • 9李宏亮,刘贵忠,侯兴松,李永利,张宗平.一种新的二维非线性提升小波变换方法[J].电子学报,2003,31(1):21-24. 被引量:1
  • 10许悦雷,马时平,朱立民,王晨.基于提升的自适应非线性小波变换研究[J].系统仿真学报,2009,21(16):5141-5144. 被引量:4

二级参考文献14

  • 1Wsweldens.The lifting scheme:A new philosophy in biorthogonal wavelet Constructions [A]..Proc.SPIE Wavelet applications signal image processing Ⅲ [C].SPIE,1995..
  • 2Sweldens W. The lifting scheme: A custom-design construction of biorthogonal wavelets [J]. Applied and Computational Harmonic Analysis (S ! 063-5203), 1996, 3(2): 186-200.
  • 3Sweldens W. The lifting scheme: A construction of second generation wavelets [J]. SIAM JOURNAL ON MATHEMATICAL ANALYSIS (S0036-1410), 1998, 29(2): 511-546.
  • 4Heijmans H, Piella G, Pesquet-Popescu B. Adaptive wavelets for image compression using update lifting: Quantization and error analysis [J]. International Journal of Wavelets, Multiresolution and Information Processing (S0219-6913), 2006, 4(l): 41-63.
  • 5Sweldens W. The lifting scheme: A custom-design construction of biorthogonal wavelets [J]. Applied and Computational Harmonic Analysis (S1063-5203), 1996, 3(2): 186-200.
  • 6Sweldens W. The lifting scheme: A construction of second generation wavelets [J]. SIAM JOURNAL ON MATHEMATICAL ANALYSTS (S0036-1410), 1998, 29(2): 511-546.
  • 7Heijmans H, Piella G, Pesquet-Popescu B. Adaptive wavelets for image compression using update lifting: Quantization and error analysis [J]. International Journal of Wavelets, Multiresolution and Information Processing (S0219-6913), 2006, 4(1): 41-63.
  • 8Jansen M. Stable edge-adaptive multiscale decompositions using updated normal offsets [J]. IEEE TRANSACTIONS ON SIGNAL PROCESSING (S1053-587X), 2008, 56(7): 2718-2727.
  • 9JANSEN M. Refinement independent wavelets for use in adaptive multiresolution schemes [J]. Int. J. Wavelets, Multiresolution and Info. Proeessing (S0219-6913), 2008, 6(04): 521-539.
  • 10Piella G, Heijmans H. Adaptive lifting schemes with perfect reconstruction [J]. IEEE Transactions on Signal Processing, (S1053-587X), [see also Acoustics, Speech, and Signal Processing, IEEE Transactions on] 2002, 50(7): 1620-1630.

共引文献48

同被引文献30

  • 1Sweldens W, The Lifting scheme:A construction of second genera- tion wavelet SIAM J Math.Anal 1998(29) :511-546.
  • 2Claypoole R L, Baraniukm R G, Now-k R D.Adaptive wavelet trans- form via lifting scheme. ProC.IEEE Conf.On A.coustics,Speech and Signa I Processing, 1999.
  • 3DONOHO D L.De-noising by soft-thresholding[J].IEEE Transactions on Information Theory,1995,41(3):613-627.
  • 4SWELDENS W.The lifting scheme:A customdesign construction of biorthogonal wavelets[J].Applied and Computational Harmonic Analysis,1996,3(2):186-200.
  • 5DAUBECHIES I,SWELDENS W.Factoring wavelet transforms into lifting steps[J].Journal of Fourier Analysis and Applications,1998,4(3):247-269.
  • 6GOUZE A,ANTONINI M,BARLAUD M,et al.Design of signal-adapted multidimensional lifting scheme for lossy coding[J].IEEE Transactions on Image Processing,2004,13(12):1589-1603.
  • 7DAUBECHIES I.Ten lectures on wavelets[M].New York:Society for Industrial and Applied Mathematics,1992.
  • 8GOLUB G H,LOAN C F V.Matrix computations[M].Baltimore:Johns Hopkins University Press,1989.
  • 9许悦雷,马时平,朱立民,王晨.基于提升的自适应非线性小波变换研究[J].系统仿真学报,2009,21(16):5141-5144. 被引量:4
  • 10徐伟,陈钱,顾国华,何伟基.用于APD激光探测的电荷灵敏前置放大器设计[J].激光与红外,2011,41(1):27-30. 被引量:17

引证文献4

二级引证文献8

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部