基于小波变换的R波奇异性分析的研究

Study of Analysis of the Singularity of R-wave by Using Wavelet Transform

奇异性是生物信号的基本特征。依据小波变换模在多尺度上的变化特征,研究了信号奇异性分析的基本定理,在此基础上提出了奇异度Lipschitz指数的估计算法,并将之用于心电图(ECG)的R波奇异性分析。研究发现,随机选取的10名健康受试者与10名心律不齐患者的ECG的R波的奇异性存在显著的差异,健康受试者的奇异性结果显著高于心律不齐的患者。

Singularity is a basic feature of biological signals.Based on the variations of wavelet transform modulus maxima in multi-scales,we studied the basic theorem for analyzing the singularity and proposed an algorithm for calculating lipschitz exponent.Then we applied the algorithm to calculate the singularity of R-wave in ECG.Our study found that the level of singularity of R-waves in ECG between the 10 arrhythm patients randomly chosen and the healthy persons was significantly different,with the level of singularity of R-wave of normal persons remarkably higher than that of arrhythmia patients.