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一类非线性信号去噪的奇异值分解有效迭代方法

查翔 倪世宏 张鹏

查翔, 倪世宏, 张鹏. 一类非线性信号去噪的奇异值分解有效迭代方法[J]. 电子与信息学报, 2015, 37(6): 1330-1335. doi: 10.11999/JEIT141605
引用本文: 查翔, 倪世宏, 张鹏. 一类非线性信号去噪的奇异值分解有效迭代方法[J]. 电子与信息学报, 2015, 37(6): 1330-1335. doi: 10.11999/JEIT141605
Zha Xiang, Ni Shi-hong, Zhang Peng. Effective Iteration Method of a Class of Nonlinear Signal Denoising Based on Singular Value Decomposition[J]. Journal of Electronics & Information Technology, 2015, 37(6): 1330-1335. doi: 10.11999/JEIT141605
Citation: Zha Xiang, Ni Shi-hong, Zhang Peng. Effective Iteration Method of a Class of Nonlinear Signal Denoising Based on Singular Value Decomposition[J]. Journal of Electronics & Information Technology, 2015, 37(6): 1330-1335. doi: 10.11999/JEIT141605

一类非线性信号去噪的奇异值分解有效迭代方法

doi: 10.11999/JEIT141605
基金项目: 

国家自然科学基金(61372167, 61379104)资助课题

Effective Iteration Method of a Class of Nonlinear Signal Denoising Based on Singular Value Decomposition

  • 摘要: 对于一类非线性信号的去噪问题,该文提出一种基于奇异值分解(Singular Value Decomposition, SVD)的有效迭代方法。对现有奇异值差分谱方法在两类不同非线性信号上的去噪效果进行了对比,指出在信号不具有明显特征频率、非周期性变化时这一方法并不适用,并分析了现象产生的原因;然后针对该类信号的特点重新定义了Hankel矩阵结构,给出有效奇异值的确定方式,并通过SVD多次迭代过程实现对该类信号的有效去噪。对实际飞行数据去噪的实验结果表明,该方法对提出的一类信号对象不仅去噪效果良好,而且可提高运算效率。
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出版历程
  • 收稿日期:  2014-12-15
  • 修回日期:  2015-03-05
  • 刊出日期:  2015-06-19

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