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基于薛定谔方程的随机滤波算法

吴浩瀚 金福江 赖联有 汪亮

吴浩瀚, 金福江, 赖联有, 汪亮. 基于薛定谔方程的随机滤波算法. 自动化学报, 2014, 40(10): 2370-2376. doi: 10.3724/SP.J.1004.2014.02370
引用本文: 吴浩瀚, 金福江, 赖联有, 汪亮. 基于薛定谔方程的随机滤波算法. 自动化学报, 2014, 40(10): 2370-2376. doi: 10.3724/SP.J.1004.2014.02370
WU Hao-Han, JIN Fu-Jiang, LAI Lian-You, WANG Liang. A Stochastic Filtering Algorithm Using Schrödinger Equation. ACTA AUTOMATICA SINICA, 2014, 40(10): 2370-2376. doi: 10.3724/SP.J.1004.2014.02370
Citation: WU Hao-Han, JIN Fu-Jiang, LAI Lian-You, WANG Liang. A Stochastic Filtering Algorithm Using Schrödinger Equation. ACTA AUTOMATICA SINICA, 2014, 40(10): 2370-2376. doi: 10.3724/SP.J.1004.2014.02370

基于薛定谔方程的随机滤波算法

doi: 10.3724/SP.J.1004.2014.02370
基金项目: 

Supported by National Natural Science Foundations of China (61273069, 61203040), Fujian Significant Technology Projects for Cooperation of Industries and Universities (2013H61010135, 2011H6019), the Important Project of Technology Plan of Fujian Province (2009H0033), the Fundamental Research Funds for the Central Universities (JB-ZR1204)

A Stochastic Filtering Algorithm Using Schrödinger Equation

Funds: 

Supported by National Natural Science Foundations of China (61273069, 61203040), Fujian Significant Technology Projects for Cooperation of Industries and Universities (2013H61010135, 2011H6019), the Important Project of Technology Plan of Fujian Province (2009H0033), the Fundamental Research Funds for the Central Universities (JB-ZR1204)

More Information
    Corresponding author: WU Hao-Han Master student at College of Information Science and Engineering, Huaqiao University. His main research interest is quantum stochastic filtering algorithm. Corresponding author of this paper. E-mail: wuhaohan123@sina.com
  • 摘要: 针对一步预测问题,本文提出一种新的自适应滤波算法,该算法通过神经网络来调制薛定谔方程的势场函数.这种算法就是所谓的量子递归神经网络(RQNN),它可以过滤嵌入在真实信号中的非平稳噪声且不需要信号和噪声的任何先验信息.本文通过RQNN与RLS算法的仿真结果比较,表明:RQNN在过滤嵌入在直流信号,正弦信号,阶梯信号和语言信号中的高斯平稳噪声,高斯非平稳噪声或非高斯平稳噪声更准确和有更好的自适应性.实验结果表明:RQNN在过滤正弦信号中的高斯噪声时,输出信噪比相对于输入信噪比提高了20dB,这比RLS滤波器高10dB.
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出版历程
  • 收稿日期:  2013-10-16
  • 修回日期:  2014-05-15
  • 刊出日期:  2014-10-20

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