Construction of wavelet using M-estimation and its Application in R-peak detection*

Electrocardiogram (ECG) signals are used to diagnose heart diseases. The position of the R-peak has the greatest influence on diagnosing cardiovascular conditions. Existing methods use continuous wavelet transform (CWT) to detect the R-peaks. But it is critical to select the best wavelet basis for detecting it. This article focuses on solving this issue by constructing the wavelet. It proposes a novel method for the construction of the wavelet using M-Estimation. The aim of this method is to improve accuracy and reduce false prediction errors. The algorithm extracts the pattern from the signal and constructs the wavelet MEOW. After that, CWT is used to detect R-peaks. To demonstrate the validity and effectiveness of the proposed method, the results are compared with the existing methods. The results are tested on other pre-defined wavelets. The results show that the proposed method outperforms another wavelet with better resolution. The proposed method achieves better accuracy in comparison to other existing methods. Thus, this method has the potential to be a valuable tool n detecting the R-peaks in the ECG signals.