Matrix Operation of Anti-aliasing Algorithm for 4ingle-scale Discrete Wavelet Transform

摘要：

The single-scale reconstruction of the discrete wavelet transform (DWT) is an important tool for feature extraction of signal processing. However,the popular convolution operation of this method entails an unacceptable time cost when analyzing the large volume of signals. And whats worse,this method is usually invalided by the frequency aliasing inherent in the DWT. In this paper,a novel algorithm is proposed to combine the anti-aliasing algorithm with the matrix operation for the single-scale wavelet reconstruction. The validity and efficiency of the proposed algorithm are testified with the simulation study. The results reveal that the proposed matrix operation of the single-scale wavelet reconstruction effectively removes the aliasing frequencies and significantly reduces the time cost of processing. Therefore,the proposed algorithm can serve as a reliable and fast alternative approach in practical application.

关键词： Discrete wavelet transform Mallat algorithm Frequency aliasing Transform matrix

作者: Zhi Lianhe Yang Jianguo Liu Qi

作者单位: Department of Physics and Electronic Engineering,Zhoukou Normal University,China School of Automobile Engineering,Harbin Institute of Technology,China

会议类型: 国际会议

会议名称: 2011 International Conference on Opto-Electronics Engineering and Information Science(2011光电电子工程与信息科学国际会议 ICOEIS 2011)

会议地点: 西安

会议语种:英文

页码: 1635-1638

在线出版日期: 2011-12-23（万方平台首次上网日期，不代表论文的发表时间）