A RECOGNITION METHOD OF R-PEAKS ON ELECTROCARDIOGRAMS BASED ON WAVELET TRANSFORM WITH PSEUDO-DIFFERENTIAL OPERATORS

Yuta Yoshikawa, Takayuki Okai, H. Oya, Minoru Yoshida, Md.Masudur Rahman
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Abstract

In this paper, we propose a recognition method of R-peaks on electrocardiograms (ECGs) based on wavelet transform with pseudo-differential operators. It is well known that the accurate recognition of R-peaks is highly importance for diagnosis of cardiac diseases and autonomic ataxia. However, the existing results for detection of R-peaks are not always accurate and can have missed peaks or false. Difficulties in accurate R-peaks detection is caused by presence of various noises in ECGs and the physiological variability of the QRS complex. From the above, we propose a more flexible and adaptive recognition method of R-peaks. In order to develop the proposed detection method, noises, artifacts, and baseline variation in ECGs are firstly suppressed by using the low-pass/high-pass filters, moving average, and MaMeMi filter. Next, the time-frequency domain's energy distribution is computed by using wavelet transform with pseudo-differential operators. Furthermore, we introduce a time-series index, -Normalized Spectrum Index ( f^p-NSI) obtained by scalograms based on the wavelet transform with pseudo-differential operators. Finally, R-peaks are recognized by taking the threshold toward the results of f^p-NSI. In this paper, we present the proposed recognition method of R-peaks on ECGs, and the effectiveness (accuracy) of the proposed method is evaluated.
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基于带伪微分算子的小波变换的心电图 r 峰识别方法
本文提出了一种基于小波变换和伪微分算子的心电图(ECG)R 峰识别方法。众所周知,准确识别 R 峰对于诊断心脏疾病和自主神经共济失调非常重要。然而,现有的 R 峰检测结果并不总是准确的,可能会出现漏峰或假峰。心电图中存在的各种噪声和 QRS 波群的生理变化是造成 R 峰难以准确检测的原因。综上所述,我们提出了一种更加灵活和自适应的 R 峰识别方法。为了开发所提出的检测方法,首先使用低通/高通滤波器、移动平均滤波器和 MaMeMi 滤波器抑制心电图中的噪声、伪像和基线变化。然后,使用带伪差分算子的小波变换计算时频域的能量分布。此外,我们还引入了一种时间序列指数--归一化频谱指数(f^p-NSI),该指数由基于伪微分算子的小波变换得到。最后,通过对 f^p-NSI 的结果取阈值来识别 R 峰。本文提出了在心电图上识别 R 峰的方法,并对该方法的有效性(准确性)进行了评估。
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