互模糊熵中隶属函数的改进和影响分析
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摘要
为进一步提高互模糊熵(cross fuzzy entropy,X-FuzzyEn)算法的统计性能,引入了调整因子λ,定义了一类新的模糊隶属函数,提出了改进X-FuzzyEn算法。使用耦合噪声模型和耦合MIX(p)模型定量评价了改进算法的统计稳定性和相对一致性;通过实际心衰患者和健康志愿者之间的心动周期和舒张间期耦合分析,对改进算法的有效性进行了验证。结果表明,改进算法的统计性能显著提升,并可以有效区分心衰患者与健康志愿者。
To further improve the statistical performances of cross fuzzy entropy( X-FuzzyEn) algorithm,an adjustable factor λ w as introduced and a refined X-FuzzyEn method w as developed accordingly. Its statistical stability and relative consistency w as tested by coupled noise and coupled MIX( p) models. Then it w as validated by the coupling analysis of heart rate and cardiac diastolic period series betw een heart failure patients and healthy subjects. Results indicated that the refined algorithm had significantly improved performances and it w as capable to tell the differences betw een heart failure patients and healthy subjects.
To further improve the statistical performances of cross fuzzy entropy( X-FuzzyEn) algorithm,an adjustable factor λ w as introduced and a refined X-FuzzyEn method w as developed accordingly. Its statistical stability and relative consistency w as tested by coupled noise and coupled MIX( p) models. Then it w as validated by the coupling analysis of heart rate and cardiac diastolic period series betw een heart failure patients and healthy subjects. Results indicated that the refined algorithm had significantly improved performances and it w as capable to tell the differences betw een heart failure patients and healthy subjects.
引文
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[5]HU Z,SHI P.Interregional Functional Connectivity via Pattern Synchrony[C]//9th International Conference on Control,Automation,Robotics and Vision.Singapore:IEEE,2006:1-6.
[6]张立伟,刘国忠,罗倩,等.视听刺激脑电信号的相位同步分析[J].生物医学工程学杂志,2012,29(4):645-649.ZHANG Liw ei,LIU Guozhong,LUO Qiang,et al.Phase synchronization analysis of EEG signal during audio-visual stimulation[J].Journal of Biomedical Engineering,2012,29(4):645-649.
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[11]XIE H,ZHENG Y,GUO J,et al.Cross-fuzzy entropy:A new method to test pattern synchrony of bivariate time series[J].Information Sciences,2010,180(9):1715-1724.
[12]LI P,LIU C,WANG X,et al.Testing pattern synchronization in coupled systems through different entropy-based measures[J].Medical&Biological Engineering&Computing,2013,51(5):581-591.
[13]李鹏,刘澄玉,李丽萍,等.多尺度多变量模糊熵分析[J].物理学报,2013,62(12):120512.LI Peng,LIU Chengyu,LI Liping,et al.Multiscale multivariate fuzzy entropy analysis[J].Acta Physica Sinica,2013,62(12):120512-120512-9.
[14]LI P,LIU C,WANG X,et al.A low-complexity data-adaptive approach for premature ventricular contraction recognition[J/OL].Signal,Image and Video Processing,2013.doi:10.1007/s11760-013-0478-6.
[15]LI L,LIU C,LI K,et al.Comparison of detrending methods in frequency domain analysis of R-R interval series[C]//4th International Conference on Measuring Technology and Mechatronics Automation.Sanya,China:ICMTMA,2012:1359-1362.