一种双正交心音小波的构造方法

成谢锋; 张正

doi:10.7498/aps.62.168701

摘要

为了提高小波分析在心音信号处理中的性能, 在分析小波构造理论的基础上, 构造了一种专门用于心音信号处理的小波基. 首先提出一种构造滤波器长度为偶数的紧支撑双正交小波的一般方法; 然后根据心音信号的特点, 讨论心音小波的构造原则和一种基于心音小波族的心音信号合成模型, 并且在此基础上构造出心音小波. 为了突出使用心音小波处理心音信号的先进性和实用性, 对心音小波进行了比较全面的理论和数值仿真分析. 实验结果表明, 相比常用的db, bior系列小波, 运用心音小波对心音信号进行处理, 能够获得更好的去噪效果、更精确的心音分类信息以及更小的重构误差率, 为心音特征提取和身份识别的深入研究提供了一种新方法, 在表征心音个体特征的细节方面具有积极的意义. 本文根据应用对象设计专用小波的方法也为工程应用中小波基的选择提供了一种新途径.

关键词:

Abstract

In order to improve the performance of the wavelet analysis in the process of the heart sound signals, in this paper, we construct a wavelet basis which is exclusively used for processing the heart sound signals on the basis of wavelet theory construction. Firstly, we propose a general method of constructing a compactly supported biorthogonal wavelet which has even length filter banks, Secondly, according to the characteristics of heart sound signals, we discuss the structure principle of heart sound wavelet and a synthesis model of heart sound signals based on the heart sound wavelets. Finally, we construct the heart sound wavelet on the basis. In order to highlight the advanced nature and practical application of heart sound wavelet in processing heart sound signals, the theory and numerical simulation of heart sound wavelet are analyzed more comprehensively. Experimental results show that compared with commonly using the db and bior series wavelets, using the heart sound wavelet to process the heart sound signals can obtain good denoising effect, accurate classified information about heart sound and low reconstruction error rate. So the heart sound wavelet provides a new method of deep studying of heart sound feature extraction and identification and has a positive significance in describing the details of the individual characteristics of the heart sounds. The paper designs a method of the special wavelet which is based on the application object, which provides a new approach to the selection of wavelet basis in engineering applications.

Keywords:

biorthogonal wavelet /
heart sound wavelet /
constructor method /
a synthesis model of heart sound signals

作者及机构信息

成谢锋,
张正

1.
南京邮电大学电子科学与工程学院, 南京 210003

基金项目: 国家自然科学基金(批准号: 61271334, 61073115)资助的课题.

Authors and contacts

1.
College of Electronic Science and Engineering, Nanjing University of Posts and Telecommunications, Nanjing 210003, China

Funds: Project supported by the National Natural Science Foundation of China (Grant Nos. 61271334, 61073115).

参考文献

[1]	Wang Y, Wang H B, Liu L H, Qiao J X 2010 The 1st International Conference on Electrical and Control Engineering Wuhan, China, June 25-27, 2010 p5018
[2]	Chen T H, Han L Q, Xing S X, Guo P Y 2010 Comput. Simulat. 27 401 (in Chinese) [陈天华, 韩立群, 邢素霞, 郭培源 2010 计算机仿真 27 401]
[3]	Guo X M, Tang L P 2010 Appl. Res. Comput. 27 4555 (in Chinese) [郭兴明, 汤丽平2010计算机应用研究 27 4555]
[4]	Deng K, Zhang L, Luo M K 2010 Chin. Phys. B 19 030506
[5]	Gao G R, Liu Y P, Pan Q 2012 Acta Phys. Sin. 61 139701 (in Chinese) [高国荣, 刘艳萍, 潘琼 2012 61 139701]
[6]	Zhao J Y, Liu H Y, Ma H S, Zhou H D 2006 Chin. J. Biomed. Engineer. 25 538 (in Chinese) [赵继印, 刘海英, 马洪顺, 周怀得 2006中国生物医学工程学报 25 538]
[7]	Hadi H M, Mashor M Y, Mohamed M S, Tat K B 2008 Electrical Engineering, Computing Science and Automatic Control 2008 (CCE 2008) 5th International Conference Mexico, November 12-14, 2008 p177
[8]	Vikhe P S, Hamde S T, Nehe N S 2009 Advances in Computing, Control, and Telecommunication Technologies, 2009 (ACT ’09) Trivandrum, Kerala, December 28-29, 2009 p367
[9]	Sherif Omran, Tayel M 2003 Circuits and Systems, 2003 IEEE 46th Midwest Symposium Cairo, Egypt, December 30, 2003 p392
[10]	Wang P, Kim Y, Soh C B 2005 Engineering in Medicine and Biology Society, 2005 (IEEE-EMBS 2005) 27th Annual International Conference Shanghai, China, January 17-18, 2006 p7572
[11]	Zhong L S, Guo X M, Yang Y, Xiao S Z 2011 Chin. J. Appl. Physiol. 2 255 (in Chinese) [钟丽莎, 郭兴明, 杨勇, 肖守中 2011中国应用生理学杂志 2 255]
[12]	Kumar D, Carvalho P, Antunes M, Henriques J, Sa e Melo A, Schmidt R, Habetha J 2007 Engineering in Medicine and Biology Society 2007 (EMBS 2007) 29th Annual International Conference of the IEEE Lyon, France, August 22-26, 2007 p1277
[13]	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]
[14]	Cheng X F, Ma Y, Liu C, Zhang X J, Guo Y F 2012 Sci. China: Inf. Sci. 55 281
[15]	Mallat S 2010 A Wavelet. Tour of Signal Processing (3rd Ed.) (Beijing: China Machine Press) pp22-303
[16]	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 1 (北京: 科学出版社) 第47-204页]
[17]	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]
[18]	Shen H, Wang J 2011 Acta Phys. Sin. 60 118702 (in Chinese) [沈韡, 王俊 2011 60 118702]
[19]	Xiong Q, Zhou S H, Li R M, Wang Z D, Zeng J P 2010 J. Jishou Univ. (Natural Sciences Edition) 31 61 (in Chinese) [熊琦, 周少华, 李锐敏, 王镇道, 曾建平 2010 吉首大学学报 (自然科学版) 31 61]

施引文献

[1]	Wang Y, Wang H B, Liu L H, Qiao J X 2010 The 1st International Conference on Electrical and Control Engineering Wuhan, China, June 25-27, 2010 p5018
[2]	Chen T H, Han L Q, Xing S X, Guo P Y 2010 Comput. Simulat. 27 401 (in Chinese) [陈天华, 韩立群, 邢素霞, 郭培源 2010 计算机仿真 27 401]
[3]	Guo X M, Tang L P 2010 Appl. Res. Comput. 27 4555 (in Chinese) [郭兴明, 汤丽平2010计算机应用研究 27 4555]
[4]	Deng K, Zhang L, Luo M K 2010 Chin. Phys. B 19 030506
[5]	Gao G R, Liu Y P, Pan Q 2012 Acta Phys. Sin. 61 139701 (in Chinese) [高国荣, 刘艳萍, 潘琼 2012 61 139701]
[6]	Zhao J Y, Liu H Y, Ma H S, Zhou H D 2006 Chin. J. Biomed. Engineer. 25 538 (in Chinese) [赵继印, 刘海英, 马洪顺, 周怀得 2006中国生物医学工程学报 25 538]
[7]	Hadi H M, Mashor M Y, Mohamed M S, Tat K B 2008 Electrical Engineering, Computing Science and Automatic Control 2008 (CCE 2008) 5th International Conference Mexico, November 12-14, 2008 p177
[8]	Vikhe P S, Hamde S T, Nehe N S 2009 Advances in Computing, Control, and Telecommunication Technologies, 2009 (ACT ’09) Trivandrum, Kerala, December 28-29, 2009 p367
[9]	Sherif Omran, Tayel M 2003 Circuits and Systems, 2003 IEEE 46th Midwest Symposium Cairo, Egypt, December 30, 2003 p392
[10]	Wang P, Kim Y, Soh C B 2005 Engineering in Medicine and Biology Society, 2005 (IEEE-EMBS 2005) 27th Annual International Conference Shanghai, China, January 17-18, 2006 p7572
[11]	Zhong L S, Guo X M, Yang Y, Xiao S Z 2011 Chin. J. Appl. Physiol. 2 255 (in Chinese) [钟丽莎, 郭兴明, 杨勇, 肖守中 2011中国应用生理学杂志 2 255]
[12]	Kumar D, Carvalho P, Antunes M, Henriques J, Sa e Melo A, Schmidt R, Habetha J 2007 Engineering in Medicine and Biology Society 2007 (EMBS 2007) 29th Annual International Conference of the IEEE Lyon, France, August 22-26, 2007 p1277
[13]	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]
[14]	Cheng X F, Ma Y, Liu C, Zhang X J, Guo Y F 2012 Sci. China: Inf. Sci. 55 281
[15]	Mallat S 2010 A Wavelet. Tour of Signal Processing (3rd Ed.) (Beijing: China Machine Press) pp22-303
[16]	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 1 (北京: 科学出版社) 第47-204页]
[17]	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]
[18]	Shen H, Wang J 2011 Acta Phys. Sin. 60 118702 (in Chinese) [沈韡, 王俊 2011 60 118702]
[19]	Xiong Q, Zhou S H, Li R M, Wang Z D, Zeng J P 2010 J. Jishou Univ. (Natural Sciences Edition) 31 61 (in Chinese) [熊琦, 周少华, 李锐敏, 王镇道, 曾建平 2010 吉首大学学报 (自然科学版) 31 61]

[1]	王建海, 钱建强, 窦志鹏, 林锐, 许泽宇, 程鹏, 王丞, 李磊, 李英姿. 基于小波变换的多频静电力显微镜动态过程测量方法. , 2022, 71(9): 096801. doi: 10.7498/aps.71.20212095
[2]	刘欣宇, 杨苏辉, 廖英琦, 林学彤. 基于小波变换的激光水下测距. , 2021, 70(18): 184205. doi: 10.7498/aps.70.20210569
[3]	寇雯博, 董灏, 邹岷强, 韩均言, 贾西西. 混杂复合材料等效热传导性能预测的小波-机器学习混合方法. , 2021, 70(3): 030701. doi: 10.7498/aps.70.20201085
[4]	成谢锋, 戴世诚, 赵鹏军. 基于心音信号的一种血压评估方法. , 2020, 69(14): 148701. doi: 10.7498/aps.69.20200254
[5]	杜文辽, 陶建峰, 巩晓赟, 贡亮, 刘成良. 基于双树复小波变换的非平稳时间序列去趋势波动分析方法. , 2016, 65(9): 090502. doi: 10.7498/aps.65.090502
[6]	周先春, 汪美玲, 石兰芳, 周林锋. 基于小波与重调和方程的扩散去噪模型的研究. , 2015, 64(6): 064203. doi: 10.7498/aps.64.064203
[7]	汪祥莉, 王斌, 王文波, 喻敏, 王震, 常毓禅. 混沌干扰中基于同步挤压小波变换的谐波信号提取方法. , 2015, 64(10): 100201. doi: 10.7498/aps.64.100201
[8]	成谢锋, 李伟. 基于心音窗函数的心音图形化处理方法的研究. , 2015, 64(5): 058703. doi: 10.7498/aps.64.058703
[9]	余海军, 杜建明, 张秀兰. 相干态的小波变换. , 2012, 61(16): 164205. doi: 10.7498/aps.61.164205
[10]	艾未华, 孔毅, 赵现斌. 基于小波的多极化机载合成孔径雷达海面风向反演. , 2012, 61(14): 148403. doi: 10.7498/aps.61.148403
[11]	郭业才, 胡苓苓, 丁锐. 基于量子粒子群优化的正交小波加权多模盲均衡算法. , 2012, 61(5): 054304. doi: 10.7498/aps.61.054304
[12]	刘金华, 佘堃. 基于双树复小波与波原子的图像扩散滤波. , 2011, 60(12): 124203. doi: 10.7498/aps.60.124203
[13]	赵文山, 何怡刚. 一种改进的开关电流滤波器实现小波变换的方法. , 2009, 58(2): 843-851. doi: 10.7498/aps.58.843
[14]	李军, 董海鹰. 基于小波核偏最小二乘回归方法的混沌系统建模研究. , 2008, 57(8): 4756-4765. doi: 10.7498/aps.57.4756
[15]	陈宏平, 王箭, 何国光. 光脉冲传输数值模拟的分步小波方法. , 2005, 54(6): 2779-2783. doi: 10.7498/aps.54.2779
[16]	崔万照, 朱长纯, 刘君华. 薄膜场发射开启电场的小波神经网络预测模型研究. , 2004, 53(5): 1583-1587. doi: 10.7498/aps.53.1583
[17]	唐驾时, 刘铸永, 李学平. MKdV方程的拟小波解. , 2003, 52(3): 522-525. doi: 10.7498/aps.52.522
[18]	徐桂琼, 李志斌. 构造非线性发展方程孤波解的混合指数方法. , 2002, 51(5): 946-950. doi: 10.7498/aps.51.946
[19]	王忠勇, 蔡远利, 贾冬. 混沌系统的小波基控制. , 1999, 48(2): 206-212. doi: 10.7498/aps.48.206
[20]	时维春, 常健斌, 韩士杰. 构造αN的各正交本征态的方法. , 1993, 42(3): 400-406. doi: 10.7498/aps.42.400

计量

文章访问数: 5675
PDF下载量: 1047
被引次数: 0

姓名
邮箱
手机号码
标题
留言内容
验证码

搜索

留言板