The Case Study of Application Hilbert Transform in ECG Signal Processing

Authors

  • Danilo Janković University of Montenegro
  • Radovan Stojanović University of Montenegro

Keywords:

Hilbert transform, Fourrier transform, Signal processing, ECG, Peak detection

Abstract

In this paper, application of Hilbert transform in biomedical signal processing is going to be demostrated using ECG signal. The Hilbert transform is a linear operator that takes a function u(t) of a real variable and transforms it into another function of a real variable H(u)(t). The Hilbert transform is important in mathematics and signal processing, where it is a component of the analytic representation of a real-valued signal u(t). The Hilbert transform was first introduced by German matemathician David Hilbert, to solve a special case of the Riemann–Hilbert problem for analytic functions.

References

Schwartz, Laurent (1950). Théorie des distributions. Paris, FR: Hermann J. Clerk Maxwell, A Treatise on Electricity and Magnetism, 3rd ed., vol. 2. Oxford: Clarendon, 1892, pp.68–73.

Pandey, J. N. (1996). The Hilbert transform of Schwartz distributions and applications. Wiley-Interscience. ISBN 0-471-03373-1

Zygmund, Antoni (1988) [1968]. Trigonometric Series (2nd ed.). Cambridge, UK: Cambridge University Press. ISBN 978-0-521-35885-9

Duoandikoetxea, J. (2000). Fourier Analysis. American Mathematical Society. ISBN 0-8218-2172-5

Janković D., Stojanović R. (2017) Flexible system for HRV analysis using PPG signal. In: Badnjevic A. (eds) CMBEBIH 2017. IFMBE Proceedings, vol 62. Springer, Singapore. https://doi.org/10.1007/978-981-10-4166-2_106

https://archive.physionet.org/cgi-bin/atm/ATM

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Published

2025-07-24

How to Cite

Janković, D., & Stojanović, R. (2025). The Case Study of Application Hilbert Transform in ECG Signal Processing. WiPiEC Journal - Works in Progress in Embedded Computing Journal, 7(1), 2. Retrieved from https://www.wipiec.digitalheritage.me/index.php/wipiecjournal/article/view/82

Issue

Vol. 7 No. 1 (2021): WiPiEC Journal

Section

Short Paper

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Copyright (c) 2025 Danilo Janković, Radovan Stojanović

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