Abstract
In this paper, a wavelet/multiwavelet approach is proposed for biosignal reconstruction based on a correlation between the two well known Haar and Schauder wavelets called Haar-Schauder multiwavelet. A multiwavelet entropy is then proposed in order to optimize and evaluate the order/disorder of the reconstructed signals. Finally, an experimentation step is carried on ECG and EMG biosignals to validate the proposed approaches.
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References
Adison, P.S., Walker, J.S., Rodrigo, G.: Time-Frequency analysis of biosignals. JIEEE Eng. Med. Biol. Mag. 28(5), 14–29 (2009)
Adison, P.S., Watson, J.N., Clegg, J.R., Olze, M., Sterz, F., Robertson, C.E.: Evaluation arrhythmias in ECG signals using wavelet transforms. IEEE Eng. Med. Biol. 19(5), 104–109 (2000)
Alqudah, A.M.: An enhanced method for real-time modeling of cardiac related biosignals unsing Gaussian mixtures. J. Med. Eng. Technol. 41(8), 600–611 (2017)
Andrea, R.V., Dorizzi, B., Boudy, J.: ECG analysis using hidden Markov models. IEEE Trans. Biomed. Eng. 53(8), 1541–1549 (2006)
Arfaoui, S., Ben Mabrouk, A., Cattani, C.: New type of gegenbauer-hermite monogenic polynomials and associated clifford wavelets. J. Math. Imaging Vis. 62(1), 73–97 (2020)
Arfaoui, S., Ben Mabrouk, A., Cattani, C.: New type of gegenbauer-jacobi-hermite monogenic polynomials and associated continuous clifford wavelet transform. Acta Appl. Math. 170(1), 1–35 (2020). https://doi.org/10.1007/s10440-020-00322-0
Calandra, R., Brazile, B.S.: Multivariate Multiresolution Multiwevelets, Thesis in Mathematics. Texas Tech University (2009)
Fischer, P.: Multiresolution analysis for 2D turbulence Part 1: Wavelets vs cosince packets, a comparative study. Discret. Contin. Dyn. Syst. B. 5(3), 659 (2005)
Goldberger, A., et al.: PhysioBank, physiotoolkit, and physionet: components of a new research resource for complex physiologic signals. Circulation [Online] 23, e215–e220 (2000)
Hardin, D.P., Roach, D.W.: Multiwavelet prefiltersi: orthogonal prefilters preserving approximation order p-2. Analog and digital signal processing. IEEE Trans. Circ. Syst. - II 45(8), 1106–1112 (1998)
Jallouli, M., Zemni, M., Ben Mabrouk, A., Mahjoub, M.A.: Towards New multi-wavelets: associated filters and algorithms. part l: Theoretical Framework and lnvestigation of Biomedical Signals, ECG and Coronavirus Cases. Soft Computing (2021)
Keinert, F.: Wavelets and Multiwavelets. Chapman (2004)
Labat, D.: Recent Advances in Wavelet Analyses: Part 1. A review of Concepts J, Hydrol (2005)
Mallat, S.: A Wavelet Tour of Signal Processing. The Sparse Way (2015)
Nicolis, O., Mateu, J.: 2D Anisotropic Wavelet Entropy with an Application to Earthquakes in Chile. Entropy (2009)
Rafiee, J., Rafiee, M.A., Prause, N., Schoen, M.P.: Wavelet basis functions in biomedical signal processing. Expert Syst. Appl. 38(5), 6190–6201 (2016)
Ruppert-Felsot, J., Praud, O., Sharon, E., Swinney, H.L.: Extraction of coherent structures in a rotating turbulent ow experiment. Phys. Rev. 72(1), 016311 (2005)
Shannon, C.: A mathematical theory of communication. Bell Syst. Tech. J. 27(3), 379–423 (1948)
Zemni, M., Jallouli, M., Ben Mabrouk, A., Mahjoub, M.A.: Explicit Haar-Schauder multi-wavelet filters and algorithms. Part II: Relative entropy-based estimation for optimal modeling of biomedical signals. Int. J. Wavelets Multiresolution Inf. Process. 17(5), 1950038 (2019) https://doi.org/10.1142/S0219691319500383
Zemni, M., Jallouli, M., Ben Mabrouk A., Mahjoub, M.A.: ECG signal processing with haar-schauder multiwavelet. In: Proceedings of the 9th International Conference on Information Systems and Technologies - Icist (2019). https://doi.org/10.1145/3361570.3361611
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Jallouli, M., Khalifa, W.B., Mabrouk, A.B., Mahjoub, M.A. (2021). Toward Multiwavelet Haar-Schauder Entropy for Biomedical Signal Reconstruction. In: Tsapatsoulis, N., Panayides, A., Theocharides, T., Lanitis, A., Pattichis, C., Vento, M. (eds) Computer Analysis of Images and Patterns. CAIP 2021. Lecture Notes in Computer Science(), vol 13052. Springer, Cham. https://doi.org/10.1007/978-3-030-89128-2_29
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DOI: https://doi.org/10.1007/978-3-030-89128-2_29
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