心磁信号广义S变换域奇异值分解滤波方法

英文篇名：A method for magnetocardiograms filtering based on singular value decomposition and S-transform
中文刊名：物理学报
英文刊名：Acta Physica Sinica
作者：尹柏强 ; 何怡刚 ; 吴先明
英文作者：Yin Bai-Qiang 1 He Yi-Gang 12 Wu Xian-Ming 1 1 College of Electrical and Information Engineering ; Hunan University ; Changsha 410082 ; China 2 School of Electrical and Automation Engineering ; Hefei University of Technology ; Hefei 230009 ; China
中文关键词：心磁信号 ; S变换 ; 奇异值分解 ; 时频滤波
英文关键词：magnetocardiograms ; S-transform ; singular value decomposition ; time-frequency filtering
出版日期：2013-07-23
机构：湖南大学电气与信息工程学院;合肥工业大学电气与自动化工程学院;
年：2013
期：14
出版单位：物理学报

摘要

针对心磁信号工频及背景噪声干扰问题,提出了广义S变换奇异值分解(singular value decomposition,SVD)滤波方法.在离散S变换基础上,导出了广义矩阵S变换和逆变换公式.通过对采样信号进行广义S变换,调节时频分辨率,利用SVD分解方法确定有效心磁信号区域,实现自适应时频滤波.实验结果表明,该方法能有效滤除工频及背景噪声干扰,且在较少奇异值个数情况下可获得更好的滤波性能.
In order to solve the problem of power line noise and environmental magnetic noise to magnetocardiogram, a filtering method based on singular value decomposition (SVD) and generalized S transform is proposed. On the basis of discrete condition, S transform and its inverse transform in matrix form are derived. The signal is first preprocessed using generalized S transform in order to get better time-frequency resolution, then the time-frequency domain is decomposed by SVD, and the valid time-frequency region is determined. Therefore, the adaptive filtering can be realized. Numerical simulation studies indicate that the method presented can achieve better performance than other methods with less singular values. Illustrative examples verify the effectiveness of the proposed method.

引文

[1]Shen W,Wang J2011Acta Phys.Sin.60118702(in Chinese)[沈韡,王俊2011物理学报60118702]
    [2]Bian C H,Ning X B2004Chin.Phys.13633
    [3]Liu X Y,Xie F X,Meng S C,Ma P,Yang T,Nie R J,Wang S Z,Wang F R,Dai Y D2003Acta Phys.Sin.522580(in Chinese)[刘新元,谢飞翔,孟树超,马平,杨涛,聂瑞娟,王守证,王福仁,戴远东2003物理学报522580]
    [4]Wikswo J P1995IEEE Trans.Appl.Superconduct.574
    [5]Zhao L,Chen G H,Zhang L H,Huang X G,Zhai G J,Li J W,Tang Y L,Feng J2004Acta Phys.Sin.534420(in Chinese)[赵莉,陈赓华,张利华,黄旭光,翟光杰,李俊文,汤玉林,冯稷2004物理学报534420]
    [6]Bai Y,Liu X Y,He D W,Ru H Y,Qi L,Ji M B,Zhao W,Xie F X,Nie R J,Ma P,Dai Y D,Wang F R2006Acta Phys.Sin.552651(in Chinese)[白云,刘新元,何定武,汝鸿羽,齐亮,季敏标,赵巍,谢飞翔,聂瑞娟,马平,戴远东,王福仁2006物理学报552651]
    [7]Zhao L,Feng J,Zhai G J,Zhai G J,Zhang L H2005Acta Phys.Sin.541993(in Chinese)[赵莉,冯稷,翟光杰,张利华2005物理学报541993]
    [8]Stockwell R G,Mansina L,Lowe R P1996IEEE Trans.Signal Proc.44998
    [9]Gao J H,Chen W C,Li Y M,Tian F2003Chin.J.Geophys.46526(in Chinese)[高静怀,陈文超,李幼铭,田芳2003地球物理学报46526]
    [10]Schimmel M,Gallart J2005IEEE Trans.Signal Proc.534417
    [11]Pei S C,Wang P W 2010 IEEE Trans.Signal Proc.583557
    [12]Chen X H,He Z H,Huang D J2008Signal Proc.2428(in Chinese)[陈学华,贺振华,黄德济2008信号处理2428]
    [13]Ventosa S,Simon C,Schimmel M,Danobeitia J J,Manuel A2008 IEEE Trans.Signal Proc.562771
    [14]Zhao S H,Wang X 2007 Northwestren Seismological Journal 29224(in Chinese)[赵淑红,王璇2007西北地震学报29224]