Traitement des signaux à échantillonnage irrégulier : application au suivi temporel de paramètres cardiaques

Abstract : Many compression methods turn the original signal into an irregularly sampled signal. Otherwise, systems, owing to their creation, only allow to gather signals with an irregular sampling. In order to be able to process these signals, various reconstruction methods have appeared since four decades. An original way to process such irregularly sample signals is to take the main characteristic of these signals into account, namely the variable time interval between two consecutive samples. In this work, we wanted to develop tools for the process of irregularly sampled signals, without having recourse to a total reconstruction of a regularly sampled signal. After having compressed the signal by a method allying compression ratio and fidelity of reconstruction, we obtain a non-equispaced sampled signal. The original idea consists in directly processing the irregularly sampled signal, and therefore, we have redefined the following methods and tools: addition, subtraction and multiplication of signals ; statistical operations such as zero and first orcier moments ; spectral analysis by Fourier transform ; low-pass and band-pass filterings ; identification, expansion. The whole of the tools and methods have been applied to the events detection in the electrocardiogram. A compression by our algorithm allows to reduce the storage memory of the ECG. On the one hand, the extraction of characteristic information of each beat of the ECG allows to collect and to follow the temporal evolution of time intervals, amplitudes, waveforms, energies ... On the other hand, we realize the decomposition of each cardiac cycle of the irregularly sampled ECG on bases including a healthy normal beat and a beat of each arythmia. The evolution, in course of the time, of the decomposition coefficients can be joined to the evolution of the previously described parameters in order to merge them, to study their variations, and to improve the decision making in terms of arythmia.
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Ludovic Fontaine. Traitement des signaux à échantillonnage irrégulier : application au suivi temporel de paramètres cardiaques. Autre [cs.OH]. Institut National Polytechnique de Lorraine, 1999. Français. ⟨NNT : 1999INPL127N⟩. ⟨tel-01749909⟩

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