At last, Da Serious Stuff

I sometimes work in the field of Signal Processing and (since 2000) in Information Theory. Here is some stuff:

Some Good Papers

Da fu***ng good seminal (1948 ! ) paper by Shannon about Information Theory pdfversion and psversion

Alf's publications

papers with Sylvie Marcos during my PhD

G. Dreyfus, O. Macchi, S. Marcos, L. Personnaz, P. Roussel-Ragot, C. Vignat,
"Réseaux de neurones pour le filtrage non-linéaire adaptatif", Traitement du Signal, Fév 92

S. Marcos, O. Macchi, C. Vignat, G. Dreyfus, L. Personnaz, P. Roussel-Ragot,
"A Unified Framework for Gradient Algorithms Used for Filter Adaptation and Neural Network Training",
International Journal of Circuit Theory and Applications, vol. 20,pp. 159- 200, 1992
"International Journal of Circuit Theory and Applications Best Paper Award 1992"

C. Vignat, S. Marcos et O. Macchi,
"Une classe d'algorithmes d'adaptation de filtres récursifs présentant des propriétés stabilisantes",
Treizième Colloque GRETSI, Juan les Pins, Sept. 91, pp.497-500

C. Vignat, C. Uhl and S. Marcos,
"Analysis of gradient-based adaptation algorithms for linear and nonlinear recursive filters", ICASSP 92, vol.4, pp.189-192

O. Nerrand, P. Roussel- Ragot, L. Personnaz, G. Dreyfus, S. Marcos, O.Macchi, C. Vignat,
"Feedback neural networks for nonlinear adaptive filtering",Neuro-Nîmes 91

L. Personnaz, O. Nerrand, P. Roussel-Ragot, G. Dreyfus, S. Marcos and C.Vignat,
"Training Discrete-Time Feedback Networks for Filtering and Control",
Reality and Trends in NeuroComputing, 1991, Prague

O. Nerrand, P. Roussel-Ragot, L. Personnaz, G. Dreyfus, S. Marcos, O. Macchi,C. Vignat,
"NeuralNetwork Training Schemes for Nonlinear Adaptive Filtering and Modelling",
IJCNN-91, Seattle, W.A., July 8-12th 1991

S. Marcos, O. Macchi et C. Vignat,
"Réseauxde neurones formels pour le filtrage adaptatif en traitement du signal. Architectures
et algorithmes", ICEA 92, Tizi-Ouzou, Algérie, 4-6 Mai1992

G. Dreyfus, O. Macchi, S. Marcos, L. Personnaz, P. Roussel-Ragot, C. Vignat,
"Adaptive training of feedback neural networks for nonlinear filtering",
1992 IEEE Workshop on Neural Networks for Signal Processing, Copenhague,pp. 550-559

M. Jaïdane Saïdane, S. Marcos and C. Vignat,
"Error non linearity in LMS adaptation of recursive filters",
EUSIPCO 94, Edimburgh, Septembre 1994

papers with Ph. Loubaton

A. Chevreuil, F. Desbouvries, A. Gorokhov, P. Loubaton and C. Vignat,
"Blind equalization in the presence of jammers and unknown noise",
IEEE Trans. on Signal Processing. Vol 46 no 1, pages 259-263, January1998.

C. Vignat, Ph. Loubaton, "Blind beamforming in a cyclostationnary context using an optimally weighted quadratic cost function",
Proc. EUSIPCO-96, vol. 3, Trieste, September 1996, pp. 2101-2104.

C. Simon, C. Vignat, Ph. Loubaton, C. Jutten, G. d'Urso,
"Quelques remarques méthodologiques concernant la séparation des mélanges convolutifs par l'approche de décorrélation",
Actes du seizième colloque GRETSI , Grenoble, Septembre 1997, pp. 11-14.

C. Simon, C. Vignat, Ph. Loubaton, C. Jutten, G. d'Urso,
"On the convolutive mixture source separation by the decorrelation approach",
Proc. ICASSP-98, Seattle, May 1998, pp. 2109-2112.

C. Simon, Ph. Loubaton, C. Vignat, C. Jutten, G. d'Urso,
"Blind source separation of convolutive mixtures by maximization of fourth-order
cumulants : the non i.i.d. case", in Proc. Asilomar-98, Asilomar,
pp. 1584-88, Novembre 1998.

Simon C, Loubaton P, Vignat C, Jutten C, d'Urso G.
" Separation of a class of convolutive mixtures: a contrast function approach",
1999 IEEE International Conference on Acoustics, Speech, andSignal Processing.
Proceedings. ICASSP99, vol.3, pp.1429-32

papers with Antoine Chevreuil

Chevreuil A, Vignat C.," Unbiased adaptive equalization: the Gaussian kernel contrast functions"
Thirty-Third Asilomar Conference on Signals, Systems, and Computers vol.1, 1999, pp.539-43

papers with Jean-François Bercher

J.-F. Bercher, C. Vignat, " Recovering binary data transmitted over unknown communication channels - a d.s.p. implementation",
The Second European DSP Education and Research Conference, Esiee, September 1998

Bercher J.-F., Vignat C., "Estimating the entropy of a signal with applications",
IEEE International Conference on Acoustics, Speech, and SignalProcessing. Proceedings ICASSP99, vol.3, pp.1705-8

J.-F. Bercher, C. Vignat, "Estimating the entropy of a signal with applications",
IEEE Trans. on Signal Processing, vol. 48, n.6, June 2000, pp.1687 - 94.

C. Vignat et J.-F. Bercher, "Un estimateur récursif de l'entropie",
17ème Colloque GRETSI, Vannes, 13 au 17 Septembre 1999, pp. 701-704

C. Vignat and J.-F. Bercher, "Matrix Fisher inequalities for non-invertible linear systems",IEEE International Symposium on Information Theory, ISIT 2002, Lausanne, Page(s): 237 -237

C. Vignat and J.-F. Bercher, "A Rényi entropy convolution inequality with application", EUSIPCO 2002, Toulouse

C. Vignat and J.-F. Bercher, "On Fisher Information Inequalities and Score Functions in non-invertible Linear Systems", JIPAM, Volume 4, Issue 4, 2003 Article 71

C. Vignat and J.-F. Bercher, " Analysis of signals in the Fisher-Shannon information plane",
Physics Letters A 312 (2003) 27–33

J.-F. Bercher and C. Vignat, "An Entropic View of Pickands' Theorem", ISIT 08 Toronto, 6-11 July 2008, 2625 - 2628

J.-F. Bercher and C. Vignat, "A new look at q-exponential distributions via excess statistics", Physica A, Volume 387, Issue 22, 15 September 2008, 5422-5432

J.-F. Bercher and C. Vignat, "A note on minimum Fisher information distributions with restricted support and fixed variance", Information Sciences, 179-22, 3832-3842

signal processing education

C. Vignat, S. Valléry, "ZeroPole: a new tool for teaching filter theory and design", Proceedings of the First IEEE Workshop on Signal Processing Education,Hunt, October 15-18 2000

S. Mengué and C. Vignat, "Space: a Toolbox for the Simulation of Analog Electronic Circuits", NordicMatlab Conference, October 17-18 2001, Oslo, pp. 56-59

S. Mengué, C. Vignat, François Davoustet Loïc Gridaine, "Space: un environnement de simulation de circuits analogiques simple et convivial sous Matlab", CETSIS E.E.A. 2001, Clermont-Ferrand, pp. 245-248

F. Sagnard, C. Vignat, S. Corral, V. Moncourtois, "ECAMO et CREMO: deux interfaces graphiques pour comprendre par l'expérimentation le rayonnement et la propagation des ondes électromagnétiques dans le domaine micro-ondes", CETSIS E.E.A. 2001, Clermont-Ferrand, pp. 325-28

papers with F. Sagnard in the field of microwave measurements

F. Sagnard, C. Vignat, V. Montcourtois, E. Rolland, "Microwave measurements of the complex permittivity of construction materials using Fresnel reflection coefficients and reflection ellipsometry", 2001 IEEE AP-S International symposium and USNC/URSI national radio sciencemeeting, Boston, July 8-13 2001, pp. 626-29

F. Sagnard, F. Bentabet, C. Vignat, "Theoretical Study of Methods based on Ellipsometry for measurement of complex Permittivity of Materials", Electronic Letters, 26th October 2000, no 22, pp.1843-45

F. Sagnard, C. Vignat, V. Moncourtois, E. Rolland, "Détermination de la permittivité complexe de matériaux de constructiondans le domaine micro-onde : Comparaison des méthodes de Fresnel et d'ellipsométrie micro-onde par réflexion", Journées Nationales Microondes, (JNM), Poitiers Futuroscope, 16-18 mai 2001

F. Sagnard, D. Seetharamdoo, C. Vignat, "Reflection ellipsometry for in-situ measurements of complex permittivity and thickness of a single-layer material at microwave frequencies : Theory and Experiments", 32nd EUMC, Milan, 23-27 september 2002

F. Sagnard, F. Bentabet, C. Vignat, "In Situ Measurements of the Complex Permittivity of Materials Using Reflection Ellipsometry in the Microwave Band: Theory (Part I)", IEEE Tr. Instr. and Measurements, Volume 54, Issue 3, June 2005 Page(s):1266 - 1273

F. Sagnard, F. Bentabet, C. Vignat, "In Situ Measurements of the Complex Permittivity of Materials Using Reflection Ellipsometry in the Microwave Band: Experiments (Part II)", IEEE Tr. Instr. and Measurements, Volume 54, Issue 3, June 2005 Page(s):1274 - 1282

F. Sagnard, C. Vignat, "Extension of the analytical modelling of resistive loaded thin-wire antennas to Gaussian derivatives excitations", Microwave and Optical Technology Letters, vol 47-6, 548-553, Dec. 2005

papers with Alfred O. Hero III and José Costa at E.E.C.S., University of Michigan

Costa, J.A., Hero, A.O., Vignat, C., "A characterization of the multivariate distributions maximizing Renyi entropy"
IEEE International Symposium on Information Theory , ISIT 2002, Lausanne, pp. 263 -263

C. Vignat, J. Costa and A. Hero, "On Solutions to Multivariate Maximum alpha-entropy Problems", EMMCVPR 2003, Lisbon, 7-9 July 2003, Lecture Notes in Computer Science, Springer-Verlag, Vol. 2683, pp. 211 - 228

C. Vignat, A. Hero and J. Costa, " About closedness by convolution of the Tsallis maximizers", Physica A, Vol. 340, Issue 1-3, pp. 147-152, Sept. 2004, NEXT2003, Second Sardinian International Conference on News and Expectations in Thermostatistics, Cagliari, 21-28 September 2003

C. Vignat, A. Hero and J. Costa, " A geometric characterization of maximum Renyi entropy distributions", ISIT 2006, Seattle, 1822-1826

papers with the excellent Peter Harremoës and Christian Berg at the Dept. of Mathematics of the University of Copenhague

P. Harremoës and C. Vignat, "A Nash Equilibrium related to the Poisson Channel", Communications in Information and Systems, vol. 3-3, pp. 183-190 , 2003

P. Harremoës and C. Vignat: "An Entropy Power Inequality for the binomial family", Journal of Inequalities in Pure and Applied Mathematics, Volume 4, Issue 5, 2003, Article 93

P. Harremoës and C. Vignat: "A short information theoretic proof of the CLT", submitted to IEEE IT, April 2004

C. Berg and C. Vignat: "Linearization Coefficients of Bessel Polynomials and Properties of Student t-Distributions", Constructive Approximation, Vol. 27 (2008), 15-32

P. Harremoës and C. Vignat: "Renyi entropies of Projections", ISIT 2006, Seattle, 1827-1830

P. Harremoës and C. Vignat: "Renyi entropies of Marginal Distributions", submitted

C. Berg and C. Vignat: "On some results of Cufaro Petroni about Student t-processes", J. Phys. A: Math. Theor. 41 (2008) 265004

C. Berg and C. Vignat: "On the density of the sum of two independent Student t-random vectors", Statistics and Probability Letters 80 (2010), 1043-1055

C. Berg and C. Vignat: "Derivation of an integral of Boros and Moll via convolution of Student t-densities", submitted, Ramanujan Journal

papers with Jan Naudts at University of Antwerpen, Dpt. Natuurkunde

C. Vignat and J. Naudts, "Stability of families of probability distributions under reduction of the number of degrees of freedom ", Physica A, Volume 350, Issues 2-4 , 15 May 2005, Pages 296-302, cond-mat/0404516

papers with Angelo Plastino at National University La Plata

C. Vignat and A. Plastino " Density operators that extremize Tsallis entropy and thermal stability effects", , Physica A, Volume 361, Issue 1, 15 February 2006, Pages 139-160

C. Vignat and A. Plastino "Geometric origin of probabilistic distributions in statistical mechanics", submitted

C. Vignat and A. Plastino "Stochastic invertible mappings for Tsallis distributions", Comptes Rendus Physique Volume 7, Issues 3-4 , April-May 2006, Pages 442-448

C. Vignat and A. Plastino "Poincare's Observation and the Origin of Tsallis Generalized Canonical Distributions", Physica A, Volume 365, Issue 1, 1 June 2006, Pages 167-172, Next Sigma Phi 2005 conference, Crete

C. Vignat and A. Plastino "The p-sphere and the geometric substratum of power law probability distributions", Physics Letters A, Volume 343, Issue 6, pp 411-416

C. Vignat and A. Plastino "Elliptical invariance of distributions of the power type: the stability and extensivity issues", submitted

C. Vignat and A. Plastino "Estimation in a fluctuating medium and power-law distributions", Phys. Lett. A 360, 415-418 (2007)

C. Vignat and A. Plastino "Power-law random walks", Phys. Rev. E 74, 051124 (2006)

C. Vignat and A. Plastino " Scale invariance and related properties of q-Gaussian systems", Physics Letters A, Volume 365, Issues 5-6, 11 June 2007, Pages 370-375

C. Vignat and A. Plastino "Central limit theorem and deformed exponentials ", J. Phys. A: Math. Theor. 40 (2007) F969-F978.

C. Vignat and A. Plastino "Why is the detection of q-Gaussian behavior such a common occurrence? ", Physica A, Volume 388, Issue 5, 1 March 2009, 601-608

F. Pennini, A. Plastino, B.H. Soffer and C. Vignat "Physical symmetries and Fisher's information measure ", Physics Letters A, Volume 373, Issues 8-9, 23 February 2009, Pages 817-820

C. Vignat and A. Plastino "Geometry of the central limit theorem in the nonextensive case ", Physics Letters A Volume 373, Issue 20, 27 April 2009, Pages 1713-1718

A. Chevreuil, A. Plastino and C. Vignat "On a conjecture about Dirac's delta representation using q-exponentials", J. Math. Phys. 51, 093502 (2010)

papers with Angelo Plastino at National University La Plata and A.R. Plastino at University of Pretoria

C. Vignat, A. Plastino and A.R. Plastino "Superstatistics based on the microcanonical ensemble", Nuovo Cimento B, vol. 120 B n.9, pp 951-963

C. Vignat, A. Plastino and A.R. Plastino "Correlated Gaussian Systems exhibiting additive Power-Law Entropies", Physics Letters A, Volume 354, Issues 1-2 , Pages 27-30

C. Vignat, A. Plastino, A.R. Plastino and J.S. Dehesa "Quantum Potentials with q-Gaussian Ground States", submitted, PLA

C. Vignat, A. Plastino and A.R. Plastino "Entropic Upper Bound on Gravitational Binding Energy", submitted, Physica A

papers with Pierre-Olivier Amblard and Steeve Zozor at L.I.S. Grenoble

P.O. Amblard, C. Vignat "A note on bounded entropies", Physica A, Volume 365, Issue 1, 1 June 2006, Pages 50-56, Next Sigma Phi 2005 Conference, Crete

S. Zozor, C. Vignat "Non-Gaussian asymptotic minimizers in entropic uncertainty principles and the dimensional effect", ISIT 2006, Seattle, 2085-89

S. Zozor, C. Vignat "On classes of non-Gaussian asymptotic minimizers in entropic uncertainty principles", Physica A, 375 (2007), pp. 499-517

S. Zozor, C. Vignat "Forme entropique du principe d incertitude et cas d egalite asymptotique", 21eme Colloque GRETSI Traitement du Signal et des Images, 2007, Troyes

S. Zozor, M. Portesi and C. Vignat "Some entropic extensions of the uncertainty principle", ISIT 08, Toronto, 6-11 July 2008, 1676 - 1680

S. Zozor, M. Portesi and C. Vignat "Some extensions of the uncertainty principle", Physica A, Volume 387, Issues 19-20, August 2008, 4800-4808

S. Zozor and C. Vignat "Revisiting the denoising problem in the context of elliptical distributions", 16th European Signal Processing Conference (EUSIPCO '08), Lausanne, Switzerland, 25-29 August 2008

S. Zozor and C. Vignat " Estimation MAP pour des variables elliptiquement distribuees", Actes du Gretsi 2009, Dijon

S. Zozor and C. Vignat, "On the MAP estimation in the context of elliptical distributions", Proceedings of the 17th European Signal Processing Conference, EUSIPCO-2009

S. Zozor and C. Vignat, "Some Results on the Denoising Problem in the Elliptically Distributed Context ", IEEE Transactions on Signal Processing 58 1 (2010) 134-150

papers with Oliver T. Johnson at Statistical Laboratory, Cambridge

O. Johnson and C. Vignat "Some results concerning maximum Renyi entropy distributions", Annales de l'Institut Henri Poincaré (B) Probability and Statistics, Vol 43/3, 2007, pages 339-351

papers with Shalabh Bhatnagar at CSA Dpt, IISc, Bangalore

C. Vignat and S. Bhatnagar "An extension of Wick's theorem", Statistics & Probability Letters, Volume 78, Issue 15, 15 October 2008, Pages 2404-2407

papers with Olivier Leveque at LTHI, EPFL, Lausanne

E. Akuiyibo, O. Leveque, C. Vignat "High SNR Analysis of the MIMO Interference Channel", ISIT 08 Toronto, 6-11 July 2008, 905 - 909

O. Leveque, C. Vignat and M. Yuksel, "Diversity-Multiplexing Tradeoff for the MIMO Static Half-Duplex Relay", In Proceedings of IEEE International Symposium on Information Theory, Seoul, Korea, July 2009

O. Leveque, C. Vignat and M. Yuksel, "Diversity-Multiplexing Tradeoff for the MIMO Static Half-Duplex Relay", IEEE Tr. on Information Theory, 56-7, 3356 - 3368, July 2010

papers with Pedro Walter Lamberti at Facultad de Matematica, Astronomia y Fisica, Universidad Nacional de Cordoba, Argentina

C. Vignat and P.W. Lamberti "A study of the orthogonal polynomials associated with the quantum harmonic oscillator on constant curvature spaces", J. Math. Phys. 50, 103514 (2009)

papers with Victor H. Moll and Tewodros Amdeberhan at Tulane, New Orleans

Tewodros Amdeberhan, Victor H. Moll and Christophe Vignat "The Evaluation of a Quartic Integral via Schwinger, Schur and Bessel", submitted, Ramanujan Journal

alone

C. Vignat "A probability approach to some results by Nieto and Truax", J. Math. Phys. 51, 123505 (2010)