小波采样的滤波算法研究

张治国, 黄建国, 刘震

张治国, 黄建国, 刘震. 小波采样的滤波算法研究[J]. 电子科技大学学报, 2010, 39(6): 900-905.
引用本文: 张治国, 黄建国, 刘震. 小波采样的滤波算法研究[J]. 电子科技大学学报, 2010, 39(6): 900-905.
ZHANG Zhi-guo, HUANG Jian-guo, LIU Zhen. Wavelet Filtering Algorithm of Wavelet Sampling[J]. Journal of University of Electronic Science and Technology of China, 2010, 39(6): 900-905.
Citation: ZHANG Zhi-guo, HUANG Jian-guo, LIU Zhen. Wavelet Filtering Algorithm of Wavelet Sampling[J]. Journal of University of Electronic Science and Technology of China, 2010, 39(6): 900-905.

小波采样的滤波算法研究

基金项目: 

国家自然科学基金(60474069)

详细信息
    作者简介:

    张治国(1977-),男,博士,高级工程师,主要从事小波采样及系统仿真方面的研究

  • 中图分类号: TP301.6

Wavelet Filtering Algorithm of Wavelet Sampling

  • 摘要: 针对经典小波采样理论不能如同香农定理应用采样值对连续信号进行滤波,该文在小波采样存在条件下,提出一种基于采样值的小波滤波算法。该算法突破经典小波采样理论仅研究单个Hilbert空间信号重构的局限性,从多分辨分析逼近出发,基于采样值构建信号逼近准则函数,进而计算信号在小波空间的正交投影,实现小波滤波。仿真试验证明该算法能够有效地基于采样值,对连续信号进行小波滤波。
    Abstract: A new algorithm of wavelet sampling is proposed since the typical wavelet sampling lacks the capacity to filter the continuous signal by the samples as Shannon sampling does. From the viewpoint of Multiresolution approximation, a new cost function based on the samples is introduced to estimate the approximation of signal in this algorithm, so that the signal is decomposed into the orthogonal components, which has break through the limit of typical wavelet sampling that only considers the construction of signal in one Hilbert space.
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出版历程
  • 收稿日期:  2009-04-07
  • 修回日期:  2010-01-28
  • 刊出日期:  2010-12-14

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