On Comparing the Time Resolution of Proposed Complex Wavelet With Morlet

Authors

DOI:

https://doi.org/10.26713/cma.v13i5.2256

Keywords:

. Continuous wavelet transform, Time-frequency resolution, The electrocardiogram (ECG), R-peak detection

Abstract

In this study, we compare the complex Morlet wavelet’s time-frequency resolution to that of a proposed complex continuous wavelet. The proposed complex continuous wavelet has a substantially lower time resolution than the complex Morlet wavelet. As a result, the proposed complex continuous wavelet is appropriate for applications requiring high time resolution. The efficiency of the proposed complex wavelet over the complex Morlet wavelet in evaluating the QRS complex and R-peak in ECG signals is demonstrated.

Downloads

Download data is not yet available.

References

P. S. Addison, Wavelet transforms and the ECG: a review, Physiological Measurement 26 (2005), R155, DOI: 10.1088/0967-3334/26/5/R01.

M. Aqil, A. Jbari and A. Bourouhou, ECG-waves: analysis and detection by continuous wavelet transform, Journal of Telecommunication, Electronic and Computer Engineering 9 (2017), 45 – 52, URL: https://jtec.utem.edu.my/jtec/article/view/1425.

L. Debnath and F. A. Shah, Wavelet Transforms and Their Applications, Springer (2002), DOI: 10.1007/978-1-4612-0097-0.

G. Kaiser, A Friendly Guide to Wavelets, Birkhüser, Boston, 300 pp. (1994).

S. Mallat, A Wavelet Tour of Signal Processing, 2nd edition, Elsevier (1999), DOI: 10.1016/B978-0-12-466606-1.X5000-4.

G. Narsimulu, B. K. Reddy and M. D. Rayeezuddin, Parameters of a class of complex continuous wavelet family, Journal of Mathematical and Computational Science 10 (2020), 805 – 816, DOI: 10.28919/jmcs/4476.

M. Rayeezuddin, B. K. Reddy and D. S. Reddy, Performance of reconstruction factors for a class of new complex continuous wavelets, International Journal of Wavelets, Multiresolution and Information Processing 19 (2021), 2050067, DOI: 10.1142/S0219691320500678.

J. S. Sahambi, S. N. Tandon and R. K. P. Bhatt, Using wavelet transforms for ECG characterization. An on-line digital signal processing system, IEEE Engineering in Medicine and Biology Magazine 16 (1997), 77 – 83, DOI: 10.1109/51.566158.

L. Senhadji, G. Carrault, J. J. Bellanger and G. Passariello, Comparing wavelet transforms for recognizing cardiac patterns, IEEE Engineering in Medicine and Biology Magazine 14 (1995), 167 – 173, DOI: 10.1109/51.376755.

C. Torrence and G. P. Compo, A practical guide to wavelet analysis, Bulletin of the American Meteorological Society 79 (1998), 61 – 78, DOI: 10.1175/1520-0477(1998)079%3C0061:APGTWA%3E2.0.CO;2.

H. Yi and H. Shu, The improvement of the Morlet wavelet for multi-period analysis of climate data, Comptes Rendus Geoscience 344 (2012), 483 – 497, DOI: 10.1016/j.crte.2012.09.007.

Downloads

Published

30-12-2022
CITATION

How to Cite

Narsimulu, G., & Reddy, B. K. (2022). On Comparing the Time Resolution of Proposed Complex Wavelet With Morlet. Communications in Mathematics and Applications, 13(5), 1453–1462. https://doi.org/10.26713/cma.v13i5.2256

Issue

Section

Research Article