[ ETUDE MATHEMATIQUE ET OBSERVATIONS D'UN SIGNAL ANALYTIQUE : LA CAUSALITE ]
Volume 13, Issue 4, December 2015, Pages 958–964
Gordien TAMBA OF'R1
1 Département de Mathématique et Informatique, Université Pédagogique Nationale, Centre International des Mathématiques Pures et Appliquées (CIMPA), Kinshasa, Ngaliema, BP 885, RD Congo
Original language: French
Copyright © 2015 ISSR Journals. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
The causality, one of the results of the Hilbert transform on an analytic signal outlines on one hand the mathematical study on a measure that uses complex-valued functions by the Fourier transform (spectra) that takes into account, in general the negative frequencies, and on the other hand the measurement ustensils (observations) which give the real-valued signals with positive observable frequencies. Herein, we assume the signal denoted by x to be real.
Author Keywords: Analytic signal, transform, spectra, causality.
Volume 13, Issue 4, December 2015, Pages 958–964
Gordien TAMBA OF'R1
1 Département de Mathématique et Informatique, Université Pédagogique Nationale, Centre International des Mathématiques Pures et Appliquées (CIMPA), Kinshasa, Ngaliema, BP 885, RD Congo
Original language: French
Copyright © 2015 ISSR Journals. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Abstract
The causality, one of the results of the Hilbert transform on an analytic signal outlines on one hand the mathematical study on a measure that uses complex-valued functions by the Fourier transform (spectra) that takes into account, in general the negative frequencies, and on the other hand the measurement ustensils (observations) which give the real-valued signals with positive observable frequencies. Herein, we assume the signal denoted by x to be real.
Author Keywords: Analytic signal, transform, spectra, causality.
Abstract: (french)
La causalité, un des résultats de la transformée de Hilbert sur un signal analytique met en exergue d'une part l'étude mathématique sur une mesure qui fait intervenir des fonctions à valeurs complexes par la transformée de Fourier (spectre) qui prend en compte, en général les fréquences négatives, d'autre part des appareils de mesure (observations) qui donnent les signaux à valeurs réelles avec les fréquences observables positives [13][20][24]. Ici, nous supposons le signal noté x est réel.
Author Keywords: signal analytique, transformée, spectre, causalité.
How to Cite this Article
Gordien TAMBA OF'R, “MATHEMATICAL STUDY AND OBSERVATIONS OF AN ANALYTIC SIGNAL : THE CAUSALITY,” International Journal of Innovation and Applied Studies, vol. 13, no. 4, pp. 958–964, December 2015.
