C. 5. Application, . La, . Aux, and . De-roulement-intéressante-pour-le-débruitage, La forte atténuation du bruit est confirmée par la figure h : le débruitage fait nettement apparaitre la résonance

E. San-c-), D` es lors, nous avons proposé de re-´ echantillonner les signaux préalablement

. Agee, Spectral self-coherence restoral: a new approach to blind adaptive signal extraction using antenna arrays, Proceedings of the IEEE, pp.753-767, 1990.
DOI : 10.1109/5.54812

. Amblard, Statistics for complex variables and signals ??? Part I: Variables, Signal Processing, vol.53, issue.1, pp.421-434, 1996.
DOI : 10.1016/0165-1684(96)00071-0

J. Antoni, Apports de l'´ echantillonnage angulaire et de la cyclostationnarité au diagnostic par analyse vibratoire des moteurs thermiques, Thèse de Doctorat, 2000.

J. Antoni, Robust separation of vibration components using the short-time fourier transform, In CETIM, issue.5, 2004.

A. , E. Badaoui, J. Antoni, and M. Badaoui, Some strategies to achieve robust cepstral analysis, Proceedings of international conference on vibration in rotating machinery, 2000.
URL : https://hal.archives-ouvertes.fr/hal-00552844

A. Antoni, J. Et-randall, and R. , Differential Diagnosis of Gear and Bearing Faults, Journal of Vibration and Acoustics, vol.124, issue.2, pp.165-171, 2002.
DOI : 10.1115/1.1456906

A. Antoni, J. Et-randall, and R. , A Stochastic Model for Simulation and Diagnostics of Rolling Element Bearings With Localized Faults, Journal of Vibration and Acoustics, vol.125, issue.3, pp.282-289, 2003.
DOI : 10.1115/1.1569940

A. Antoni, J. Et-randall, and R. , Unsupervised noise cancellation for vibration signals: part I???evaluation of adaptive algorithms, Mechanical Systems and Signal Processing, vol.18, issue.1, pp.89-101, 2004.
DOI : 10.1016/S0888-3270(03)00012-8

A. Antoni, J. Et-randall, and R. , Unsupervised noise cancellation for vibration signals: part II???a novel frequency-domain algorithm, Mechanical Systems and Signal Processing, vol.18, issue.1, pp.103-117, 2004.
DOI : 10.1016/S0888-3270(03)00013-X

W. Bennett, Statistics of Regenerative Digital Transmission, Bell System Technical Journal, vol.37, issue.6, pp.1501-1542, 1958.
DOI : 10.1002/j.1538-7305.1958.tb01560.x

J. Blough, DEVELOPMENT AND ANALYSIS OF TIME VARIANT DISCRETE FOURIER TRANSFORM ORDER TRACKING, Mechanical Systems and Signal Processing, vol.17, issue.6, pp.1185-1199, 2003.
DOI : 10.1006/mssp.2002.1500

B. Boashash, Estimating and interpreting the instantaneous frequency of a signal -part 1 : Fundamentals, Proceedings of the IEEE, vol.80, issue.4, 1992.

. Bonnardot, Enhancement of second order cyclostationary signals, International Conference on Acoustrics, Speech, and Signal Processing, 2004.
URL : https://hal.archives-ouvertes.fr/hal-00552838

. Bonnardot, Analyse vibratoire, approche cyclostationnaire et déterministe, CNR'IUT, 2002.

. Bonnardot, Ré-´ echantillonnage synchrone cepstral, CNR'IUT, 2004.

. Bonnardot, Use of the acceleration signal of a gearbox in order to perform angular resampling (with limited speed fluctuation) Mechanical Systems and Signal Processing

. Bonnardot, Enhanced Unsupervised Noise Cancellation using Angular Resampling for Planetary Bearing Fault Diagnosis, The International Journal of Acoustics and Vibration, vol.9, issue.2, 2004.
DOI : 10.20855/ijav.2004.9.2156

. Bonnardot, Aidè a l'interprétation de signaux cyclostationnaires, CNR'IUT, 2003.

. Bossley, HYBRID COMPUTED ORDER TRACKING, Mechanical Systems and Signal Processing, vol.13, issue.4, pp.627-641, 1999.
DOI : 10.1006/mssp.1999.1225

L. Bouillaut, Approches cyclostationnaire et non-linéaire pour l'analyse vibratoire de machines tournantes : Aspects théoriques et applications au Diagnostic, Thèse de Doctorat, 2000.

. Bouillaut, . Sidahmed, L. Bouillaut, and M. Et-sidahmed, CYCLOSTATIONARY APPROACH AND BILINEAR APPROACH: COMPARISON, APPLICATIONS TO EARLY DIAGNOSIS FOR HELICOPTER GEARBOX AND CLASSIFICATION METHOD BASED ON HOCS, Mechanical Systems and Signal Processing, vol.15, issue.5, pp.923-943, 2001.
DOI : 10.1006/mssp.2001.1412

G. Boyles, R. Boyles, and W. Gardner, Cycloergodic properties of discrete- parameter nonstationary stochastic processes, IEEE Transactions on Information Theory, vol.29, issue.1, pp.105-114, 1983.
DOI : 10.1109/TIT.1983.1056613

S. Braun, The extraction of periodic waveforms bytime domain averaging, Acustica, vol.32, pp.69-77, 1975.

S. Braun, S. Braun, and B. Et-seth, On the extraction and filtering of signals acquired from rotating machines, Journal of Sound and Vibration, vol.65, issue.1, pp.37-50, 1979.
DOI : 10.1016/0022-460X(79)90526-1

S. Braun, S. Braun, and B. Et-seth, Analysis of repetitive mechanism signatures, Journal of Sound and Vibration, vol.70, issue.4, pp.513-522, 1980.
DOI : 10.1016/0022-460X(80)90321-1

C. Et-principe-]-candocia, F. Et-principe, and J. , Comments on " sinc interpolation of discrete periodic signals, IEEE Transactions on signal processing, issue.7, pp.452044-2047, 1998.

C. Capdessus, Aide au diagnostic des machines tournantes par traitement du signal, Thèse de Doctorat, 1992.

. Capdessus, CYCLOSTATIONARY PROCESSES: APPLICATION IN GEAR FAULTS EARLY DIAGNOSIS, Mechanical Systems and Signal Processing, vol.14, issue.3, pp.371-385, 2000.
DOI : 10.1006/mssp.1999.1260

F. Combet, Traitement du signal, modélisation et diagnostic des installations de remontées mécaniques, Thèse de Doctorat, 2003.

C. Corduneanu, Almost periodic functions, 1989.

H. Cramér, Mathematical methods of statistics, 1999.

F. Crapart, Implantation d'algorithmes rapides sur processeur de traitement du signal -ApplicationàApplicationà l'analyse vibratoire de machines tournantes, Thèse de Doctorat, 1995.

. Dalpiaz, EFFECTIVENESS AND SENSITIVITY OF VIBRATION PROCESSING TECHNIQUES FOR LOCAL FAULT DETECTION IN GEARS, Mechanical Systems and Signal Processing, vol.14, issue.3, pp.387-412, 2000.
DOI : 10.1006/mssp.1999.1294

. Dandawaté, . Giannakis, A. Dandawaté, and G. Et-giannakis, Extraction of almost periodic signals using cyclostationarity, Proceedings of ICASSP '94. IEEE International Conference on Acoustics, Speech and Signal Processing, pp.141-144, 1994.
DOI : 10.1109/ICASSP.1994.389851

M. Badaoui, Contribution au diagnostic vibratoire des réducteurs complexesàcomplexesà engrenages par l'analyse cepstrale, Thèse de Doctorat, 1999.

. Badaoui, Modeling and Detection of Localized Tooth Defects in Geared Systems, Journal of Mechanical Design, vol.123, issue.3, pp.422-430, 2001.
DOI : 10.1115/1.1349420
URL : https://hal.archives-ouvertes.fr/hal-00455842

. Badaoui, New applications of the real cepstrum to gear signals, including definition of a robust fault indicator, Mechanical Systems and Signal Processing, vol.18, issue.5, pp.1031-1046, 2004.
DOI : 10.1016/j.ymssp.2004.01.005
URL : https://hal.archives-ouvertes.fr/hal-00552000

E. R. Ferrara, Frequency-domain implementations of periodically time-varying filters, IEEE Transactions on Acoustics, Speech, and Signal Processing, vol.33, issue.4, pp.883-892, 1985.
DOI : 10.1109/TASSP.1985.1164633

F. Et-prieur-]-fontanive, C. Et-prieur, and P. , Surveillance et diagnostic des engrenages, Progrès récents des méthodes de surveillance acoustiques et vibratoires, pp.639-649, 1992.

. Fournel, Utilisation du cesptre d'´ energie pour la vélocimétrie par images de particules, pp.267-271, 1992.

M. Fyfe, K. Fyfe, and E. Et-munck, ANALYSIS OF COMPUTED ORDER TRACKING, Mechanical Systems and Signal Processing, vol.11, issue.2, pp.187-205, 1997.
DOI : 10.1006/mssp.1996.0056

W. Gardner, Stationarizable random processes, IEEE Transactions on Information Theory, vol.24, issue.1, pp.8-22, 1978.
DOI : 10.1109/TIT.1978.1055820

W. Gardner, Cyclic Wiener filtering: theory and method, IEEE Transactions on Communications, vol.41, issue.1, pp.151-163, 1993.
DOI : 10.1109/26.212375

. Gardner, . Franks, W. Gardner, and L. Et-franks, Characterization of cyclostationary random signal processes, IEEE Transactions on Information Theory, vol.21, issue.1, pp.4-14, 1975.
DOI : 10.1109/TIT.1975.1055338

. Gardner, . Spooner, W. Gardner, and C. Et-spooner, The cumulant theory of cyclostationary time-series, part i : Fondation, IEEE Transactions on signal processing, issue.12, pp.423387-3408, 1994.

E. Gladyshev, Periodically correlated random sequences, Soviet Mathematics Doklady, vol.2, pp.385-388, 1961.

E. Gladyshev, Periodically and Almost-Periodically Correlated Random Processes with a Continuous Time Parameter, Theory of Probability and Its Applications, pp.173-177, 1963.
DOI : 10.1137/1108016

P. Granjon, Modélisation de signaux vibratoires d'une machine tournante par un système linéaire variant périodiquement dans le temps, ` eme Conférence Internationale Méthodes de surveillance et techniques de diagnostic acoustiques et vibratoires, pp.575-584, 2001.

. Groover, Removal of order domain content in rotating equipment signals by double resampling, Mechanical Systems and Signal Processing, vol.19, issue.3, pp.483-500, 2005.
DOI : 10.1016/j.ymssp.2003.09.008

F. Gustafsson, Determining the initial states in forward-backward filtering, IEEE Transactions on Signal Processing, vol.44, issue.4, pp.988-992, 1996.
DOI : 10.1109/78.492552

S. Haykin, Adaptive filter theory, 2002.

. Herlufsen, Characteristics of the Vold-Kalman order tracking filter, 2000 IEEE International Conference on Acoustics, Speech, and Signal Processing. Proceedings (Cat. No.00CH37100), pp.34-44, 1999.
DOI : 10.1109/ICASSP.2000.860254

R. Ho, D. Ho, and R. Et-randall, OPTIMISATION OF BEARING DIAGNOSTIC TECHNIQUES USING SIMULATED AND ACTUAL BEARING FAULT SIGNALS, Mechanical Systems and Signal Processing, vol.14, issue.5, pp.763-788, 2000.
DOI : 10.1006/mssp.2000.1304

I. Howard, A review of rolling element bearing vibration " detection , diagnosis and prognosis, BIBLIOGRAPHIE, 1994.

H. Hurd, An investigation of periodically correlated stochastic process, Thèse de Doctorat, 1970.

P. Kootsookos, A review of the frequency estimation and tracking problems, 1999.

. Lejeune, Cyclostationnarités d'ordre 1 et 2 : applicationàapplicationà des signaux vibratoires d'engrenages, GRETSI, number 16, pp.323-326, 1997.

. Leonov, . Shiryaev, V. Leonov, and A. Et-shiryaev, On a Method of Calculation of Semi-Invariants, Theory of Probability & Its Applications, vol.4, issue.3, pp.319-328, 1959.
DOI : 10.1137/1104031

. Lim, . Macleod, T. Lim, and M. Macleod, On-line interpolation using spline functions, IEEE Signal Processing Letters, vol.3, issue.5, pp.144-146, 1996.
DOI : 10.1109/97.491656

P. Marchand, Détection et reconnaissance de modulations numériquesmériquesà l'aide des statistiques cycliques d'ordre supérieur, Thèse de Doctorat, 1998.

. Martin, Close shock detection using time???frequency Prony modeling, Mechanical Systems and Signal Processing, vol.18, issue.2, pp.235-261, 2004.
DOI : 10.1016/S0888-3270(03)00018-9
URL : https://hal.archives-ouvertes.fr/hal-00374823

W. Martin, Time-frequency analysis of random signals, ICASSP '82. IEEE International Conference on Acoustics, Speech, and Signal Processing, pp.1325-1328, 1982.
DOI : 10.1109/ICASSP.1982.1171454

. Mccormick, . Nandi, A. Mccormick, and A. Nandi, CYCLOSTATIONARITY IN ROTATING MACHINE VIBRATIONS, Mechanical Systems and Signal Processing, vol.12, issue.2, pp.225-242, 1998.
DOI : 10.1006/mssp.1997.0148

P. Mcfadden, Detecting Fatigue Cracks in Gears by Amplitude and Phase Demodulation of the Meshing Vibration, Journal of Vibration Acoustics Stress and Reliability in Design, vol.108, issue.2, pp.165-170, 1986.
DOI : 10.1115/1.3269317

P. Mcfadden, A revised model for the extraction of periodic waveforms by time domain averaging, Mechanical Systems and Signal Processing, vol.1, issue.1, pp.83-95, 1987.
DOI : 10.1016/0888-3270(87)90085-9

P. Mcfadden, Interpolation techniques for time domain averaging of gear vibration, Mechanical Systems and Signal Processing, vol.3, issue.1, pp.87-97, 1989.
DOI : 10.1016/0888-3270(89)90024-1

S. Mcfadden, P. Mcfadden, and J. Et-smith, Model for the vibration produced by a single point defect in a rolling element bearing, Journal of Sound and Vibration, vol.96, issue.1, pp.69-82, 1984.
DOI : 10.1016/0022-460X(84)90595-9

S. Mcfadden, P. Mcfadden, and J. Et-smith, The vibration produced by multiple point defects in a rolling element bearing, Journal of Sound and Vibration, vol.98, issue.2, pp.263-273, 1985.
DOI : 10.1016/0022-460X(85)90390-6

. Vold, Multi axle order tracking with the vold-kalman tracking filter, pp.30-34, 1997.

. Vrabie, Application of spectral kurtosis to bearing fault detection in induction motors, In CETIM, issue.5, 2004.
URL : https://hal.archives-ouvertes.fr/hal-00021515

W. Wang, EARLY DETECTION OF GEAR TOOTH CRACKING USING THE RESONANCE DEMODULATION TECHNIQUE, Mechanical Systems and Signal Processing, vol.15, issue.5, pp.887-903, 2001.
DOI : 10.1006/mssp.2001.1416

. Widrow, . Stearns, B. Widrow, and S. Et-stearns, Adaptive signal processing, 1985.

. Zivanovic, . Gardner, G. Zivanovic, and W. Gardner, Degrees of cyclostationarity and their application to signal detection and estimation, Signal Processing, vol.22, issue.3, pp.287-297, 1991.
DOI : 10.1016/0165-1684(91)90016-C