Abstract
The adaptive non-harmonic (ANH) model considers amplitude and frequency-modulated (AM-FM) signals as a superimposition of non-sinusoidal oscillations. This oscillatory pattern is described by a wave-shape function (WSF). This model is particularly suitable for the task of processing biomedical signals, as they are generally composed of various complex waveforms. The WSF is described by its Fourier expansion and the optimal number of harmonics is chosen adaptively for each signal. We show the utility of the ANH model by denoising simulated pulsewave signals from different sections of the circulatory system. Our signal denoising procedure outperforms denoising strategies based on thresholding the short-time Fourier transform (STFT) for all considered input noise levels.
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References
Wu, H.-T.: Instantaneous frequency and wave shape functions (I). Appl. Comput. Harmon. A. 35(2), 181–199 (2013)
Wu, H.-T. et al.: Modeling the pulse signal by wave-shape function and analyzing by synchrosqueezing transform. PloS One 11(6) (2016)
Ruiz, J., Colominas, M.A.: Wave-shape function model order estimation by trigonometric regression. Signal Process. 197, 108543 (2022)
Charlton, P.H. et al.: Modeling arterial pulse waves in healthy aging: a database for in silico evaluation of hemodynamics and pulse wave indexes. Am. J. Physiol. Heart C. 317(5), H1062–H1085 (2019)
Kamen, P.W., Krum, H., Tonkin, A.M.: Poincare plot of heart rate variability allows quantitative display of parasympathetic nervous activity in humans. Clin. Sci. 91(2), 201–208 (1996)
Pham, D.-H., Meignen, S.: A novel thresholding technique for the denoising of multicomponent signals. In: 2018 International Conference Acoustic Speech, IEEE, pp. 4004–4008. (2018)
Mallat, S.: In: A Wavelet Tour of Signal Processing: The Sparse Way. Elsevier (2008)
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Ruiz, J.V., Schlotthauer, G., Colominas, M.A. (2024). Denoising Biomedical Signals with Wave-Shape Functions. In: Lopez, N.M., Tello, E. (eds) Advances in Bioengineering and Clinical Engineering. SABI 2022. IFMBE Proceedings, vol 105. Springer, Cham. https://doi.org/10.1007/978-3-031-51723-5_51
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DOI: https://doi.org/10.1007/978-3-031-51723-5_51
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