Bulg. J. Phys. vol.49 no.3 (2022), pp. 266-276



Ramanujan Sums-Wavelet Transform in the Context of ECG Signal Analysis

S. Vinod, S. Sajikumar
Department of Mathematics; College of Engineering Trivandrum, Thiruvananthapuram-695016, Kerala, India
Abstract. In the last fifteen years, Ramanujan Sums (RS) were widely used in signal processing applications like signal analysis, pattern recognition, feature extraction, image compression, etc. Ramanujan Sums Wavelet Transform (RSWT) is the combination of the Ramanujan Sums transform and the wavelet transform, introduced by Chen et al. in 2013. In this transform, the multiresolution representation property of the wavelet transform and energy conservation property of the Ramanujan Sums transform are blended to extract more useful information from the signal under study. We exploit this feature of the RSWT to analyze ECG waveforms. The new representation of the ECG signal under the RS transform followed by the wavelet transform provides a multitude of ways of analyzing ECG signals, especially in the determination of QRS complexes and several intervals and amplitudes of the P, Q, R, S, and T waves. The advantage of the RSWT is that usual wavelet transform analysis reduces to a special case of the RSWT and hence the proposed method gives a generalized analysis tool that helps in a deeper understanding of the ECG features. Experimental results with the simulated ECG waveform show that the proposed method outperforms the existing ECG signal analysis using wavelet transform alone.

doi: https://doi.org/10.55318/bgjp.2022.49.3.266

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