Comparaison des représentations temps-fréquence de signaux présentant des discontinuités spectrales

Blanc-Lapierre (A.),Picinbono (B.). Remarques sur la notion de spectre instantané de puissance.Publications Scient. Univ. Alger, Fr. (1955), Série B,1, n∘ 1, pp. 17–32.

Bouachache (B.),Escudie (B.),Flandrin (P.),Grea (J.). Sur une condition nécessaire et suffisante de positivité de la représentation en temps et fréquence des signaux d’énergie finie.C. R. Acad. Sci. Paris, Fr. (1979), Série A, tome288, n∘ 4, pp. 307–309.

Claasen (T. A. C. M.),Mecklenbrauker (W. F. G.). The Wigner distribution, a tool for time-frequency signal analysis. Part 1: continuous-time signals, Part 2: discretetime signals, Part 3: relations with other time-frequency signal transformations.Philips J. Res., Nederl. (1980),35, n∘ 3, pp. 217–250, pp. 276–300,35, n∘ 6, pp. 372–389.

De Bruijn (N. G.). Uncertainty principles in Fourier analysis. Inequalities 2, O. Shisha Ed.,Academic Press, USA (1967), pp. 57–71.

Escudie (B.), Flandrin (P.), Grea (J.). Positivité des représentations conjointes en temps et fréquence des signaux d’énergie finie: représentation hilbertienne et conditions d’observation des signaux.Colloque GRETSI, Nice, Fr. (1979), pp. 2/1–2/7.

Escudie (B.),Grea (J.). Sur la formulation générale de la représentation conjointe en temps et en fréquence dans l’analyse des signaux d’énergie finie.C. R. Acad. Sci. Paris, Fr. (1976), Série A,283, n∘ 15, pp. 1049–1051.

Fargetton (H.),Gendrin (R.),Lacoume (J. L.). Adaptative methods for spectral analysis of time-varying signals. Signal processing: theories and applications, Kunt et De Coulon, actes du congrès EUSIPCO,North-Holland Publishing Co., NL (1980), p. 687.

Flandrin (P.),Martin (W.). Sur les conditions physiques assurant l’unicité de la représentation de Wigner-Ville comme représentation temps-fréquence.Collogue GRETSI, Nice, Fr. (1983), pp. 43–49.

Grenier (Y.). Estimation de spectres rationnels non stationnaires.Colloque GRETSI, Nice, Fr. (1981), pp. 185–192.

Grenier (Y.). Rational non-stationary spectra and their estimation. FirstASSP workshop on spectral estimation, Hamilton, Ontario, Can. (1981), pp. 6/8/1–6/8/8.

Grenier (Y.). Time-dependent arma modelling of nonstationary signals.IEEE Trans. ASSP, USA (1983),31, n∘ 4, pp. 899–911.

Grenier (Y.). Time-varying lattices and autoregressive models: parameter estimation.IEEE ICASSP-82, Fr. (1982), pp. 1337–1340.

Grenier (Y.). Estimation of non-stationary movingaverage models.IEEE ICASSP-83, USA (1983), pp. 268–271.

Grenier (Y.). Modélisation de signaux non stationnaires à faible produit BT.Colloque GRETSI, Nice, Fr. (1983), pp. 35–41.

Harris (F. J.). On the use of windows for harmonic analysis with the discrete Fourier transform.Proc. IEEE, USA (1978),66, n∘ 1, pp. 51–83.

Hall (M.), Oppenheim (A. V.), Willsky (A.). Timevarying parametric modelling of speech.IEEE Decision and Control Conf., New Orleans, USA (1977), pp. 1085–1091.

Janssen (A. J. E. M.). Positivity of weighted Wigner distributions.SIAM J. Math. Anal., USA (1981),12, n∘ 5, pp. 752–758.

Kodera (K.),De Villedary (C.),Gendrin (R.). A new method for the numerical analysis of non-stationary signals.Physics of the Earth and Planetary Interiors, USA (1976),12, pp. 142–150.

Liporace (L. A.). Linear estimation of non-stationary signals.J. Acoust. Soc. Amer., USA (1975),58, n∘ 6, pp. 1288–1295.

Ljung (L.),Morf (M.),Falconer (D.). Fast calculation of gain matrices for recursive estimation schemes.Int. J. Control, USA (1978),27, n∘ 1, pp. 1–19.

Loynes (R. M.). On the concept of the spectrum for nonstationary processes.J. Royal Statist. Soc., GB (1968), Series B,30, n∘ 1, pp. 1–30.

Martin (W.). Time-frequency analysis of non-stationary processes.IEEE Int. Symp. on Inform. Theory, Les Arcs, Fr. (1982).

Martin (W.). Time-frequency analysis of random signals.IEEE ICASSP-82, Fr. (1982), pp. 1325–1328.

Martin (W.), Flandrin (P.). Analysis of non-stationary processes: short-time periodograms versus a pseudo-Wigner estimator.EUSIPCO, D (1983).

Melard (G.). Propriétés du spectre évolutif d’un processus non stationnaire.Ann. Inst. H. Poincaré, Fr. (1978), Section B,14, n∘ 4, pp. 411–424.

Mendel (J. M.). Discrete techniques of parameter estimation: the equation error formulation.Control Theory,1, Marcel Dekker Inc., USA (1973), Chap. 6: estimation of time-varying parameters.

Priestley (M. B.). Evolutionary spectra and non-stationary processes.J. Royal Statist. Soc., GB (1965), Series B,27, n∘ 2, pp. 204–237.

Subba Rao (T.). The fitting of non-stationary time-series models with time-dependent parameters.J. Royal Statist. Soc., GB (1970), Series B,32, n∘ 2, pp. 312–322.

Tjostheim (D.). Spectral generating operators for nonstationary processes.Adv. Appl. Prob., USA (1976),8, n∘ 4, pp. 831–846.

Ville (J.). Théorie et applications de la notion de signal analytique.Câbles et Transmissions, Fr. (1948),2, n∘ 1, pp. 61–74.

Wigner (E. P.). On the quantum correction for thermodynamic equilibrium.Physical review, USA (1932),40, pp. 749–759.