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In the paper, we present a new method for signal processing in statistical domain. The multiple components obtained from the conventional linear transformation are possibly irrelevant, and usually do not possess the characteristics of statistical independence. Therefore a method of signal decomposition and reconstruction is proposed based on the independent function element. This method not only inherits the advantages of linear transformation, but also has the capability of signal representation in the statistical domain. In this paper, the model, definition and obtaining method of independent function element are discussed, and the applications of heart sounds independent function element in the heart sound signal processing are also analyzed in detail. The validity and practicability of the method are demonstrated through two experiments.
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Keywords:
- independent function element /
- signal representation in the statistical domain /
- model and method
[1] Fan Y B, Pan Z K, Wang Z Y 2011 Wavelets: Theory, Algorithms and Filter Banks (Vol. 1) (Beijing: Science Press) pp47–204 (in Chinese) [范延滨, 潘振宽, 王正彦 2011 小波理论算法与滤波器组 (第1卷) (北京: 科学出版社) 第47–204页]
[2] You R Y, Huang X J 2011 Chin. Phys. B 20 20505
[3] Omran S, Tayel M 2004 Communications and Signal Processing p235
[4] Zhang L, Yang X H 2011 2011 Cross Strait Quad-Regional Radio Science and Wireless Technology Conference Harbin, China, July 26–30, 2011 p1115
[5] Zhao L, Feng J, Zhai G J, Zhang L H 2005 Acta Phys. Sin. 54 1943 (in Chinese) [赵莉, 冯稷, 翟光杰, 张利华 2005 54 1943]
[6] Liu X Y, Pei L Q, Wang Y, Zhang S M, Gao H L, Dai Y D 2011 Chin. Phys. B 20 47401
[7] Cheng X F, Ma Y, Zhang X J 2011 Acta Electron. Sin. 39 2317 (in Chinese) [成谢锋, 马勇, 张学军 2011 电子学报 39 2317]
[8] Jang G J, Lee T W 2004 J. Mach. Learn. Res. 28 365
[9] Guo X, Ding X, Lei M 2012 Acta Phys. Hungar. 99 382
[10] Cheng X F, Ma Y, Zhang S B, Zhang Y, Guo Y F 2010 Chin. J. Sci. Instrum. 31 1712 (in Chinese) [成谢锋,马勇, 张少白, 张瑛, 郭宇锋 2010 仪器仪表学报 31 1712]
[11] Cheng X F, Ma Y, Liu C, Guo Y H, Zhang X J 2012 Sci. China Inf. Sci. 55 281
[12] Wang P, Kim Y, Soh C B 2005 Engineering in Medicine and Biology Society, 2005. IEEE-EMBS 2005. 27th Annual International Conference 17–18 January, 2006 p7572
[13] Cheng X F, Zhang Z 2013 Acta Phys. Sin. 62 168701 (in Chinese) [成谢锋, 张正 2013 62 168701]
[14] Ye H L, Wu Y, Zhang J T 2012 Chin. Phys. B 21 125201
[15] Xie Z B, Feng J C 2011 Chin. Phys. B 20 50504
[16] Wang L F, Sun K X 2012 J. Nanjing Univ. Posts and Telecommun. 32 9 (in Chinese) [王路飞, 孙科学 2012 南京邮电大学学报 32 9]
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[1] Fan Y B, Pan Z K, Wang Z Y 2011 Wavelets: Theory, Algorithms and Filter Banks (Vol. 1) (Beijing: Science Press) pp47–204 (in Chinese) [范延滨, 潘振宽, 王正彦 2011 小波理论算法与滤波器组 (第1卷) (北京: 科学出版社) 第47–204页]
[2] You R Y, Huang X J 2011 Chin. Phys. B 20 20505
[3] Omran S, Tayel M 2004 Communications and Signal Processing p235
[4] Zhang L, Yang X H 2011 2011 Cross Strait Quad-Regional Radio Science and Wireless Technology Conference Harbin, China, July 26–30, 2011 p1115
[5] Zhao L, Feng J, Zhai G J, Zhang L H 2005 Acta Phys. Sin. 54 1943 (in Chinese) [赵莉, 冯稷, 翟光杰, 张利华 2005 54 1943]
[6] Liu X Y, Pei L Q, Wang Y, Zhang S M, Gao H L, Dai Y D 2011 Chin. Phys. B 20 47401
[7] Cheng X F, Ma Y, Zhang X J 2011 Acta Electron. Sin. 39 2317 (in Chinese) [成谢锋, 马勇, 张学军 2011 电子学报 39 2317]
[8] Jang G J, Lee T W 2004 J. Mach. Learn. Res. 28 365
[9] Guo X, Ding X, Lei M 2012 Acta Phys. Hungar. 99 382
[10] Cheng X F, Ma Y, Zhang S B, Zhang Y, Guo Y F 2010 Chin. J. Sci. Instrum. 31 1712 (in Chinese) [成谢锋,马勇, 张少白, 张瑛, 郭宇锋 2010 仪器仪表学报 31 1712]
[11] Cheng X F, Ma Y, Liu C, Guo Y H, Zhang X J 2012 Sci. China Inf. Sci. 55 281
[12] Wang P, Kim Y, Soh C B 2005 Engineering in Medicine and Biology Society, 2005. IEEE-EMBS 2005. 27th Annual International Conference 17–18 January, 2006 p7572
[13] Cheng X F, Zhang Z 2013 Acta Phys. Sin. 62 168701 (in Chinese) [成谢锋, 张正 2013 62 168701]
[14] Ye H L, Wu Y, Zhang J T 2012 Chin. Phys. B 21 125201
[15] Xie Z B, Feng J C 2011 Chin. Phys. B 20 50504
[16] Wang L F, Sun K X 2012 J. Nanjing Univ. Posts and Telecommun. 32 9 (in Chinese) [王路飞, 孙科学 2012 南京邮电大学学报 32 9]
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