A. Chambert-loir and A. Corporelle, Éditions École Polytechnique English translation: A Field Guide to Algebra, 2005.

M. Fliess, « Réflexions sur la question fréquentielle en traitement du signal, 2005.

M. Fliess, Analyse non standard du bruit, Analyse non standard du bruit, pp.797-802, 2006.
DOI : 10.1016/j.crma.2006.02.037
URL : https://hal.archives-ouvertes.fr/inria-00001134

M. Fliess, Probabilit??s et fluctuations quantiques, Probabilités et fluctuations quantiques, pp.663-668, 2007.
DOI : 10.1016/j.crma.2007.04.001

M. Fliess, Critique du rapport signal à bruit en théorie de l'information », Manuscrit, 2007.

M. Fliess, S. Fuchshumer, M. Schöberl, K. Schlacher, and H. , An introduction to algebraic discrete-time linear parametric identification with a concrete application, Journal Europ??en des Syst??mes Automatis??s, vol.42, issue.2-3, pp.211-232, 2008.
DOI : 10.3166/jesa.42.211-232
URL : https://hal.archives-ouvertes.fr/inria-00188435

M. Fliess and C. , JOIN, « Time series technical analysis via new fast estimation methods: A preliminary study in mathematical finance », 23 rd IAR Workshop Advanced Control Diagnosis ? IAR-ACD08, 2008.

M. Fliess, C. Join, M. Mboup, and H. Sira-ramírez, Compression diff??rentielle de transitoires bruit??s, Compression différentielle de transitoires bruités, pp.821-826, 2004.
DOI : 10.1016/j.crma.2004.10.003

M. Fliess, C. Join, and H. Sira-ramírez, Robust residual generation for linear fault diagnosis: an algebraic setting with examples, International Journal of Control, vol.34, issue.14, pp.1223-1242, 2004.
DOI : 10.1080/002071704200024374

M. Fliess, C. Join, H. Sira-ramírez, and «. Non, Non-linear estimation is easy, International Journal of Modelling, Identification and Control, vol.4, issue.1, pp.12-27, 2008.
DOI : 10.1504/IJMIC.2008.020996
URL : https://hal.archives-ouvertes.fr/inria-00158855

M. Fliess, M. Mboup, H. Mounier, H. Sira-ramírez, and «. , Questioning some paradigms of signal processing via concrete examples Algebraic Methods in Flatness, Signal Processing and State Estimation, pp.1-21, 2003.

M. Fliess, H. Sira-ramírez, and «. , An algebraic framework for linear identification, ESAIM: Control, Optimisation and Calculus of Variations, vol.9, pp.151-168, 2003.
DOI : 10.1051/cocv:2003008
URL : http://www.numdam.org/article/COCV_2003__9__151_0.pdf

M. Fliess, H. Sira-ramírez, and «. Reconstructeurs, Reconstructeurs d'??tat, Comptes Rendus Mathematique, vol.338, issue.1, pp.91-96, 2004.
DOI : 10.1016/j.crma.2003.11.004

M. Fliess and H. Sira-ramírez, « Closed-loop parametric identification for continuous-time linear systems via new algebraic techniques Identification of Continuous-time Models from Sampled Data, pp.363-391, 2008.

H. S. Green, Information Theory and Quantum Physics, 2000.
DOI : 10.1007/978-3-642-57162-6

I. N. Guelfand and N. Y. Vilenkin, Les distributions, t. 4 : Applications de l'analyse harmonique, Dunod, 1967.

C. Join and S. Tabbone, Robust curvature extrema detection based on new numerical derivation », Advanced Concepts Intelligent Vision Systems ? ACIVS, 2008.
DOI : 10.1007/978-3-540-88458-3_44
URL : https://hal.inria.fr/inria-00300799/document

S. Lang, Algebra (3 rd rev, 2002.

C. Numéro, ]. D. Lobry30, O. Liu, W. Gibaru, M. Perruquetti et al., « An error analysis in the algebraic estimation of a noisy sinusoidal signal, Proc. 15 th Medit. Conf. Control Automation ? MED, 2008.

C. Lobry, Et pourtant ils ne remplissent pas N !, ALEAS, 1989.

C. Lobry and T. Sari, Nonstandard analysis and representation of reality, Int. J. Control, vol.81, pp.517-534, 2008.
URL : https://hal.archives-ouvertes.fr/hal-00857828

M. Mboup, « Parameter estimation via differential algebra and operational calculus, Manuscrit, 2006.

M. Mboup, C. Join, and M. Fliess, « A delay estimation approach to change-point detection, Proc. 16 th Medit. Conf. Control Automation ? MED'2008, 2008.

M. Mboup, C. Join, and M. Fliess, Numerical differentiation with annihilators in noisy environment, Numerical Algorithms, vol.14, issue.12, pp.10-1007, 2009.
DOI : 10.1007/s11075-008-9236-1
URL : https://hal.archives-ouvertes.fr/inria-00319240

E. Nelson, Radically Elementary Probability Theory, 1987.

A. Neves, M. D. Miranda, and M. Mboup, Algebraic parameter estimation of damped exponentials, Proc. 15 th Europ. Signal Processing Conf. ? EUSIPCO'2007, Pozna´nPozna´n, 2007.
URL : https://hal.archives-ouvertes.fr/inria-00179732

M. Van-der, M. F. Put, and . Singer, Galois Theory of Linear Differential Equations, 2003.
DOI : 10.1007/978-3-642-55750-7

C. E. Shannon, Communication in the presence of noise, Proc. IRE, pp.10-21, 1949.

J. R. Trapero, H. Sira-ramírez, V. Feliu, and . Battle, An algebraic frequency estimator for a biased and noisy sinusoidal signal, Signal Processing, pp.1188-1201, 2007.
DOI : 10.1016/j.sigpro.2006.10.006

J. R. Trapero, H. Sira-ramírez, V. Feliu, and . Battle, A fast on-line frequency estimator of lightly damped vibrations in flexible structures, Journal of Sound and Vibration, vol.307, issue.1-2, pp.365-378, 2007.
DOI : 10.1016/j.jsv.2007.07.005

J. R. Trapero, H. Sira-ramírez, V. Feliu, and . Batlle, On the algebraic identification of the frequencies, amplitudes and phases of two sinusoidal signals from their noisy sum, International Journal of Control, vol.339, issue.3, pp.505-516, 2008.
DOI : 10.1016/j.sigpro.2004.05.008

K. Yosida, Operational Calculus: A Theory of Hyperfunctions, 1984.
DOI : 10.1007/978-1-4612-1118-1