Software of signals decomposition into "wavelets": Documentation of program "ONDEL"

Documentation du Programme 'ONDEL': LOGICIEL DE DECOMPOSITION DE SIGNAUX EN "ONDELETTES"

Ginette Saracco (1, 2, 3)

1 LMA - Laboratoire de Mécanique et d'Acoustique [Marseille]
2 GR - Géosciences Rennes
3 CEREGE - Centre européen de recherche et d'enseignement des géosciences de l'environnement

Sofware: Decomposition of signals into contributions of "wavelets": Program documentation "Ondel". The wavelet transform is a method allowing to analyze and re-synthesize an arbitrary signal s(p) into elementary contributions or function called "wavelets". All "wavelets" have same shape and are obtained by translation and dilation (or compression) of a "mother" wavelet (analyzing wavelet) g(p). They constitute a two-parameters family. Each wavelet has limited support in both time and frequency domain. This transformation allows to analyze a signal retaining the characteristics of time and frequency. The signal energy is itself preserved. We will define the concept of wavelet in the case of one-dimensional signals (p could be the quadri-vector space-time).

Mots clés: Software 'ONDEL; Morlet wavelet; Complex continuous wavelet transform; Software 'ONDEL'

Domaines: Acoustique [physics.class-ph]; Acoustique [physics.class-ph]; Logiciel mathématique [cs.MS]; Géophysique [physics.geo-ph]; Traitement du signal et de l'image [eess.SP]

Ginette Saracco. Documentation du Programme 'ONDEL': LOGICIEL DE DECOMPOSITION DE SIGNAUX EN "ONDELETTES". Note-Laboratoire de Mecanique & d'Acoustique, CNRS-UPR 7051, 1987, 5/87, pp.1-50. ⟨hal-00436546v2⟩