D. R. Brillinger, Time Series: Data Analysis and Theory, Society for Industrial and Applied Mathematics (SIAM), 2001.
DOI : 10.1137/1.9780898719246

P. Granjon, Complex-valued signal processing for condition monitoring, Fifth International Conference on Condition Monitoring and Machinery Failure Prevention Technologies, 2008.
URL : https://hal.archives-ouvertes.fr/hal-00291614

P. J. Schreier and L. L. Scharf, Statistical Signal Processing of Complex-Valued Data: The Theory of Improper and Noncircular Signals, 2010.
DOI : 10.1017/CBO9780511815911

N. Bachschmid, P. Pennacchi, and A. Vania, Diagnostic significance of orbit shape analysis and its application to improve machine fault detection, Journal of the Brazilian Society of Mechanical Sciences and Engineering, vol.26, issue.2, pp.200-208, 2004.
DOI : 10.1590/S1678-58782004000200012

C. W. Lee and Y. S. Han, THE DIRECTIONAL WIGNER DISTRIBUTION AND ITS APPLICATIONS, Journal of Sound and Vibration, vol.216, issue.4, pp.585-600, 1998.
DOI : 10.1006/jsvi.1998.1715

Y. S. Han and C. W. Lee, DIRECTIONAL WIGNER DISTRIBUTION FOR ORDER ANALYSIS IN ROTATING/RECIPROCATING MACHINES, Mechanical Systems and Signal Processing, vol.13, issue.5, pp.723-737, 1999.
DOI : 10.1006/mssp.1998.1202

V. Ignatova, P. Granjon, and S. Bacha, Space Vector Method for Voltage Dips and Swells Analysis, IEEE Transactions on Power Delivery, vol.24, issue.4, pp.2054-2061, 2009.
DOI : 10.1109/TPWRD.2009.2028787
URL : https://hal.archives-ouvertes.fr/hal-00108164

M. P. Carmo, Differential Geometry of Curves and Surfaces, 1976.

B. O. Neill, Elementary Differential Geometry, 1966.

E. Cartan, La théorie des groupes finis et continus et la géométrie différentielle, traitées par la méthode du repère mobile, 1937.

M. Spivak, A Comprehensive Introduction to Differential Geometry, 1979.

G. S. and -. Phua, Estimation of geometric properties of three-component signals for condition monitoring, Theses, 2016.

E. Wolf, Introduction to the Theory of Coherence and Polarization of Light, 2007.

G. Phua and P. Granjon, Estimation of geometric properties of three-component sinusoidal signals for system monitoring, The 7th International Conference on Acoustical and Vibration Methods Development and Applications for Surveillance and Diagnostics, p.2013

C. Tseng and S. Lee, Linear phase FIR differentiator design based on maximum signal-to-noise ratio criterion, Signal Processing, vol.86, issue.2, pp.388-398, 2006.
DOI : 10.1016/j.sigpro.2005.06.004

N. Bédouin and S. Sieg-zieba, Endurance testing on a wind turbine test bench: a focus on slow rotating bearing monitoring, Twelfth International Conference on Condition Monitoring and Machinery Failure Prevention Technologies, 2015.

M. H. Bollen, Understanding Power Quality Problems: Voltage Sags and Interruptions, 2000.
DOI : 10.1109/9780470546840

M. H. Bollen and L. D. Zhang, Different methods for classification of three-phase unbalanced voltage dips due to faults, Electric Power Systems Research, vol.66, issue.1, pp.59-69, 2003.
DOI : 10.1016/S0378-7796(03)00072-5

J. M. Aller, A. Bueno, and T. Paga, Power system analysis using space-vector transformation, IEEE Transactions on Power Systems, vol.17, issue.4, pp.957-965, 2002.
DOI : 10.1109/TPWRS.2002.804995

C. Jordan, Sur la théorie des courbes dans l'espace à n dimensions, Comptes-rendus de l'Académie des sciences, pp.79-795, 1874.

P. Griffiths, On cartan's method of lie groups and moving frames as applied to uniqueness and existence questions in differential geometry, Duke Mathematical Journal, vol.4, pp.775-814, 1974.