Time-frequency analysis

Time-frequency and time-scale distributions provide a powerful tool for non-stationary signal analysis. Unlike conventional spectral methods, they reveal the time-varying spectral content of one-dimensional signals by mapping them into a two-dimensional time-frequency domain. Substantial theoretical work has been carried out in this direction and has yielded many different classes of time-frequency distributions, parametric or otherwise, in which optimal solutions for a given signal or task can be selected. My current research interests involve the development of an operational framework for testing stationarity relatively to an observation scale, in both stochastic and deterministic contexts, and pattern recognition algorithms in the time-frequency domain based on machine learning techniques.

 

Testing stationarity with surrogates

  • BORGNAT, P., FLANDRIN, P., HONEINE, P., RICHARD, C., et XIAO, J. Testing stationarity with surrogates: A time-frequency approach. Submitted to IEEE transactions on signal processing, 2009. [pdf]
  • AMOUD, H., HONEINE, P., RICHARD, C., BORGNAT, P., et FLANDRIN, P. Time-frequency learning machines for nonstationary detection using surrogates. IEEE SSP'09, 31-3 September 2009, Cardiff, UK. 4 p. [pdf]
  • AMOUD, H., RICHARD, C., HONEINE, P., FLANDRIN, P., et BORGNAT, P. Sur la caractérisation de non-stationnarités par la méthode des substituts. GRETSI'09, 8-11 Septembre 2009. [pdf]
  • XIAO, J., BORGNAT, P., FLANDRIN, P., and RICHARD, C. Testing stationarity with surrogates. A one-class SVM approach. IEEE SSP'07, 26-29 August 2007, Madison. [pdf]

 

Machine learning in the time-frequency domain

  • HONEINE, P., RICHARD, C., et FLANDRIN, P. Time-frequency learning machines. IEEE transactions on signal processing, 2007, vol.55, n° 7, p. 3930-3936. [pdf]
  • HONEINE, P., RICHARD, C., et FLANDRIN, P. Nonstationary signal analysis with time-frequency kernel machines. To appear in: SORIA, E., MARTÍN, J.-D., MAGDALENA, R., MARTÍNEZ, M., et SERRANO, A.-J. Handbook of Research on Machine Learning Applications. Hershey, USA: IGI Global, 2009.
  • HONEINE, P., et RICHARD, C. Distribution temps-fréquence à paramétrisation radialement gaussienne optimisée pour la classification. TS. Traitement du signal, 2009, vol.26, n° 9, p. 1-12.
  • HONEINÉ, P., and RICHARD, C. Distribution temps-fréquence à noyau radialement Gaussien : optimisation pour la classification par le critère d'alignement noyau-cible. GRETSI'07, 11-14 September 2007, Troyes. [pdf]
  • HONEINÉ, P., RICHARD, C., FLANDRIN, P., and POTHIN, J.-B. Optimal selection of time-frequency representations for signal classification: a kernel-target alignment approach. IEEE ICASSP'06, 14-19 May 2006, Toulouse. [pdf]