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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.
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Keywords:
- magnetocardiograms /
- S-transform /
- singular value decomposition /
- time-frequency filtering
[1] Shen W, Wang J 2011 Acta Phys. Sin. 60 118702 (in Chinese) [沈韡, 王俊 2011 60 118702]
[2] Bian C H, Ning X B 2004 Chin. Phys. 13 633
[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 D 2003 Acta Phys. Sin. 52 2580 (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 52 2580]
[4] Wikswo J P 1995 IEEE Trans. Appl. Superconduct. 5 74
[5] Zhao L, Chen G H, Zhang L H, Huang X G, Zhai G J, Li J W, Tang Y L, Feng J 2004 Acta Phys. Sin. 53 4420 (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 53 4420]
[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 R 2006 Acta Phys. Sin. 55 2651 (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 55 2651]
[7] Zhao L, Feng J, Zhai G J, Zhai G J, Zhang L H 2005 Acta Phys. Sin. 54 1993 (in Chinese) [赵莉, 冯稷, 翟光杰, 张利华 2005 54 1993]
[8] Stockwell R G, Mansina L, Lowe R P 1996 IEEE Trans. Signal Proc. 44 998
[9] Gao J H, Chen W C, Li Y M, Tian F 2003 Chin. J. Geophys. 46 526 (in Chinese) [高静怀, 陈文超, 李幼铭, 田芳 2003 地球 46 526]
[10] Schimmel M, Gallart J 2005 IEEE Trans. Signal Proc. 53 4417
[11] Pei S C, Wang P W 2010 IEEE Trans. Signal Proc. 58 3557
[12] Chen X H, He Z H, Huang D J 2008 Signal Proc. 24 28 (in Chinese) [陈学华, 贺振华, 黄德济 2008 信号处理 24 28]
[13] Ventosa S, Simon C, Schimmel M, Danobeitia J J, Manuel A 2008 IEEE Trans. Signal Proc. 56 2771
[14] Zhao S H, Wang X 2007 Northwestren Seismological Journal 29 224 (in Chinese) [赵淑红, 王璇 2007 西北地震学报 29 224]
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[1] Shen W, Wang J 2011 Acta Phys. Sin. 60 118702 (in Chinese) [沈韡, 王俊 2011 60 118702]
[2] Bian C H, Ning X B 2004 Chin. Phys. 13 633
[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 D 2003 Acta Phys. Sin. 52 2580 (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 52 2580]
[4] Wikswo J P 1995 IEEE Trans. Appl. Superconduct. 5 74
[5] Zhao L, Chen G H, Zhang L H, Huang X G, Zhai G J, Li J W, Tang Y L, Feng J 2004 Acta Phys. Sin. 53 4420 (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 53 4420]
[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 R 2006 Acta Phys. Sin. 55 2651 (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 55 2651]
[7] Zhao L, Feng J, Zhai G J, Zhai G J, Zhang L H 2005 Acta Phys. Sin. 54 1993 (in Chinese) [赵莉, 冯稷, 翟光杰, 张利华 2005 54 1993]
[8] Stockwell R G, Mansina L, Lowe R P 1996 IEEE Trans. Signal Proc. 44 998
[9] Gao J H, Chen W C, Li Y M, Tian F 2003 Chin. J. Geophys. 46 526 (in Chinese) [高静怀, 陈文超, 李幼铭, 田芳 2003 地球 46 526]
[10] Schimmel M, Gallart J 2005 IEEE Trans. Signal Proc. 53 4417
[11] Pei S C, Wang P W 2010 IEEE Trans. Signal Proc. 58 3557
[12] Chen X H, He Z H, Huang D J 2008 Signal Proc. 24 28 (in Chinese) [陈学华, 贺振华, 黄德济 2008 信号处理 24 28]
[13] Ventosa S, Simon C, Schimmel M, Danobeitia J J, Manuel A 2008 IEEE Trans. Signal Proc. 56 2771
[14] Zhao S H, Wang X 2007 Northwestren Seismological Journal 29 224 (in Chinese) [赵淑红, 王璇 2007 西北地震学报 29 224]
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