ABSTRACT
In this paper, we propose a method for the R-wave detection of the QRS complex of the ECG signal using a fractional wavelet. This fractional wavelet is defined, in this context, as the second derivative of the Cole-Cole distribution function of relaxation times, which is widely used in mathematical modeling of fractional order systems. In order to reduce the noise level for the ECG data, our detection algorithm incorporates the proposed fractional wavelet whose parameters are obtained by maximizing the signal-to-noise ratio of the ECG. The scales of this wavelet are chosen based on the spectral characteristics of the ECG. The proposed algorithm performances were evaluated using the MIT-BIH arrhythmia database. The numerical results show that the proposed algorithm achieved a detection rate of about 99.56%.