东北大学学报(自然科学版) ›› 2011, Vol. 32 ›› Issue (3): 318-321.DOI: -

• 论著 • 上一篇    下一篇

一种基于互相关函数的小波系数相关阈值去噪方法

肖倩;王建辉;方晓柯;关守平;   

  1. 东北大学信息科学与工程学院;
  • 收稿日期:2013-06-19 修回日期:2013-06-19 发布日期:2013-04-04
  • 通讯作者: -
  • 作者简介:-
  • 基金资助:
    沈阳市科学计划基金资助项目(F10-205-1-57)

A wavelet coefficient threshold denoising method based on a cross-correlation function

Xiao, Qian (1); Wang, Jian-Hui (1); Fang, Xiao-Ke (1); Guan, Shou-Ping (1)   

  1. (1) School of Information Science and Engineering, Northeastern University, Shenyang 110819, China
  • Received:2013-06-19 Revised:2013-06-19 Published:2013-04-04
  • Contact: Xiao, Q.
  • About author:-
  • Supported by:
    -

摘要: 针对传统的小波系数相关去噪方法中,在对含噪信号进行小波变换后,各尺度上的小波系数会产生微小偏移的问题,提出了一种基于互相关函数的小波系数相关去噪方法.采用互相关算法,计算各个尺度与原始含噪信号产生的偏移量,再把偏移后的尺度进行相关分析,得出准确的突变信号;为了去除信号突变附近附带的少量噪声信号,再采用临界阈值去噪方法对相关分析后的尺度信号进行阈值处理,最后经过信号重构可以得到精确的有用信号.

关键词: 互相关函数, 系数相关, 偏移, 阈值, 去噪

Abstract: In traditional denoising methods associated with wavelet coefficients, wavelet coefficients on any scale are only slightly offset after wavelet transformation to a noisy signal. A wavelet coefficients correlation denoising method based on a cross-correlation function was proposed. A cross-correlation algorithm was used to calculate the deviation of various scales and the original noisy signal, and to analyze the deviated scale, thus obtaining an accurate mutant signal. In order to remove the small number of noisy signals in the vicinity of the mutation signals, a critical threshold denoising method was used to do threshold processing with the scale signal after correlation analysis, following which an accurate useful signal was reconstructed.

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