Publications of Tomás Oliveira e Silva



Theses

[1.1] Tomás António Mendes Oliveira e Silva, "Sobre os Filtros de Kautz e sua Utilização na Aproximação de Sistemas Lineares Invariantes no Tempo," Ph.D thesis, Universidade de Aveiro, Jul. 1994. [In Portuguese.]

Tutorial presentations in workshops and conferences

[2.1] Peter Heuberger, Brett Ninness, Tomás Oliveira e Silva, Paul Van den Hof and Bo Wahlberg, "Modelling and Identification with Orthogonal Basis Functions," Dec. 1997. Workshop notes of a pre-conference tutorial presented at the 36th IEEE Conference on Decision and Control, San Diego, CA.
[2.2] Jozsef Bokor, Peter Heuberger, Brett Ninness, Tomás Oliveira e Silva, Paul Van den Hof and Bo Wahlberg, "Modelling and Identification with Orthogonal Basis Functions," Jul. 1999. Workshop notes of a pre-conference tutorial presented at the 14th IFAC World Congress, Beijing, China.

Book chapters

[3.1] Tomás Oliveira e Silva, "Filtros de Kautz." In "Prémio Científico IBM de 1990 a 1996," pp. 201-240, Companhia IBM Portuguesa, S.A., Dec. 1997. [In Portuguese (winner of the 1994 IBM-Portugal scientific prize).]
English translation.
[3.2] João Paulo Silva Cunha, Manuel Bernardo Cunha, Tomás Oliveira e Silva, Alpo Värri and Gunther Hellmann, "Biosignal Digital Interchange Formats and Applications." In "Computational Methods in Biophysics, Biomaterials, Biotechnology and Medical Systems: Algorithm Development, Mathematical Analysis and Diagnostics," (edited by Cornelius T. Leondes), pp. 269-294, Kluwer Academic Publishers; Kluwer Academic Press, 2003.
[3.3] Bo Wahlberg and Tomás Oliveira e Silva, "Construction and Analysis." In "Modelling and Identification with Rational Orthogonal Basis Functions," (edited by Peter S. C. Heuberger, Paul M. J. Van den Hof and Bo Wahlberg), chap. 2, pp. 15-39, Springer, 2005.
[3.4] Tomás Oliveira e Silva, "Pole Selection in GOBF Models." In "Modelling and Identification with Rational Orthogonal Basis Functions," (edited by Peter S. C. Heuberger, Paul M. J. Van den Hof and Bo Wahlberg), chap. 11, pp. 297-336, Springer, 2005.
[3.5] Tomás Oliveira e Silva, "Empirical Verification of the 3x+1 and Related Conjectures." In "The Ultimate Challenge: The 3x+1 Problem," (edited by Jeffrey C. Lagarias), pp. 189-207, American Mathematical Society, 2010.
[3.6] Rui Figueiredo, André Zúquete and Tomás Oliveira e Silva, "10th International Workshop, RFIDSec 2014; Massively Parallel Identification of Privacy-Preserving Vehicle RFID Tags." (edited by Nitesh Saxena and Ahmad-Reza Sadeghi), pp. 36-53, Springer, 2014.

Articles in international journals

[4.1] Tomás Oliveira e Silva, "Optimality Conditions for Truncated Laguerre Networks," IEEE Transactions on Signal Processing, vol. 42, no. 9, pp. 2528-2530, Sep. 1994.
[4.2] Tomás Oliveira e Silva, "Optimality Conditions for Truncated Kautz Networks with Two Periodically Repeating Complex Conjugate Poles," IEEE Transactions on Automatic Control, vol. 40, no. 2, pp. 342-346, Feb. 1995.
[4.3] Tomás Oliveira e Silva, "Optimality Conditions for Laguerre Lattice Filters," IEEE Signal Processing Letters, vol. 2, no. 5, pp. 97-98, May 1995.
[4.4] Tomás Oliveira e Silva, "On the Determination of the Optimal Pole Position of Laguerre Filters," IEEE Transactions on Signal Processing, vol. 43, no. 9, pp. 2079-2087, Sep. 1995.
[4.5] Albertus C. den Brinker, Frank P. A. Benders and Tomás A. M. Oliveira e Silva, "Optimality Conditions for Truncated Kautz Series," IEEE Transactions on Circuits and Systems--II: Analog and Digital Signal Processing, vol. 43, no. 2, pp. 117-122, Feb. 1996.
[4.6] Tomás Oliveira e Silva, "Stationary Conditions for the L^2 Error Surface of the Generalized Orthonormal Basis Functions Lattice Filter," Signal Processing, vol. 56, no. 3, pp. 233-253, Feb. 1997.
[4.7] Manuel Bernardo Cunha, João Paulo Silva Cunha and Tomás Oliveira e Silva, "SIGIF: A Digital Signal Interchange Format with Application in Neurophysiology," IEEE Transactions on Biomedical Engineering, vol. 44, no. 5, pp. 413-418, May 1997.
[4.8] Tomás Oliveira e Silva, "Maximum Excursion and Stopping Time Record-Holders for the 3x+1 Problem: Computational Results," Mathematics of Computation, vol. 68, no. 225, pp. 371-384, Jan. 1999. Up to date computational results can be found at http://sweet.ua.pt/tos/3x+1.html or at http://sweet.ua.pt/tos/3x_plus_1.html.
Up to date results.
[4.9] Tomás Oliveira e Silva, "On the Asymptotic Eigenvalue Distribution of Block-Toeplitz Matrices Related to the Generalized Orthonormal Basis Functions Model," Automatica, vol. 35, no. 10, pp. 1653-1661, Oct. 1999.
[4.10] Jonathan Bayless, Dominic Klyve and Tomás Oliveira e Silva, "New Bounds and Computations on Prime-Indexed Primes," INTEGERS; Electronic Journal of Combinatorial Number Theory, vol. 13, 2013. Article A43 (21 pages).
[4.11] Milton Armando Cunguara, Tomás Oliveira e Silva and Paulo Bacelar Reis Pedreiras, "On Oscillation Free Controller Changes," Systems & Control Letters, vol. 62, no. 3, pp. 262-268, Mar. 2013.
[4.12] Tomás Oliveira e Silva, Siegfried Herzog and Silvio Pardi, "Empirical verification of the even Goldbach conjecture and computation of prime gaps up to 4· 10^18," Mathematics of Computation, vol. 83, no. 288, pp. 2033-2060, Jul. 2014. Published electronically on November 18, 2013.
[4.13] Stephen D. Cohen, Tomás Oliveira e Silva and Tim Trudgian, "A Proof of the Conjecture of Cohen and Mullen on Sums of Primitive Roots," Mathematics of Computation, 2014. Accepted for publication (8 pages).
[4.14] Stephen D. Cohen, Tomás Oliveira e Silva and Tim Trudgian, "On Consecutive Primitive Elements in a Finite Field," Bulletin of the London Mathematical Society, vol. 47, pp. 418-426, 2015.

Articles in Portuguese journals

[5.1] T. Oliveira e Silva, P. Guedes de Oliveira, J. C. Príncipe and B. de Vries, "A Complex Pole Extension to the Gamma Filter," The INESC Journal of Research & Development, vol. 3, no. 1, pp. 35-41, Jan./Jun. 1992.
[5.2] Tomás Oliveira e Silva, "Laguerre Filters --- An Introduction," Revista do DETUA, vol. 1, no. 3, pp. 237-248, Jan. 1995.
Electronic copy available in the following formats: PostScript (compressed with gzip) and Adobe PDF.
[5.3] Tomás Oliveira e Silva, "Automatic Generation of Root Locus Plots," Revista do DETUA, vol. 2, no. 3, pp. 273-276, Sep. 1998.
Electronic copy available in the following formats: PostScript (compressed with gzip) and Adobe PDF.
[5.4] Tomás Oliveira e Silva, "Computing π(x): the Combinatorial Method," Revista do DETUA, vol. 4, no. 6, pp. 759-768, Mar. 2006.
Electronic copy available in the following formats: PostScript (compressed with gzip) and Adobe PDF.

Articles in international conferences and workshops

[6.1] P. Guedes de Oliveira, João P. Cunha, T. Oliveira e Silva and A. Martins da Silva, "A Multistrategy Approach to Epileptic Focus Localization," Proceedings of the 13th Annual International Conference of the IEEE Engineering in Medicine and Biology Society, vol. 1, pp. 441-442, 1991. [Presented by the second author. Vol. 13, No. 1.]
[6.2] Tomás Oliveira e Silva and Pedro Guedes de Oliveira, "A Low Order Model of Sleep Stage II EEG Based on the Gamma Kernel," Proceedings of the 14th Annual International Conference of the IEEE Engineering in Medicine and Biology Society, vol. 5, pp. 2630-2631, 1992.
[6.3] T. Oliveira e Silva, P. Guedes de Oliveira, J. C. Príncipe and B. de Vries, "Generalized Feedforward Filters with Complex Poles," Proceedings of the 1992 IEEE Workshop on Neural Networks for Signal Processing II, pp. 503-510, 1992.
[6.4] Tomás Oliveira e Silva, "Generalized Feed-Forward Filters: Some Theoretical Results," The 1993 International Conference on Acoustics, Speech, and Signal Processing, vol. III, pp. 109-112, Apr. 1993.
[6.5] M. Bernardo Cunha, João Paulo Cunha and T. Oliveira e Silva, "SIGIF: A Digital Signal Interchange Format for Biological Signals," Proceedings of the 15th Annual International Conference of the IEEE Engineering in Medicine and Biology Society, pp. 644-645, Oct. 1993. [Presented by the first author]
[6.6] Tomás Oliveira e Silva, "On the Equivalence Between Gamma and Laguerre Filters," The 1994 International Conference on Acoustics, Speech, and Signal Processing, vol. 4, pp. 385-388, Apr. 1994.
[6.7] Per Bodin, Tomás Oliveira e Silva and Bo Wahlberg, "On the Construction of Orthonormal Basis Functions for System Identification," Preprints of the 13th World Congress of the International Federation of Automatic Control, vol. I, pp. 369-374, 1996.
[6.8] Tomás Oliveira e Silva, "A n-Width Result for the Generalized Orthonormal Basis Function Model," Preprints of the 13th World Congress of the International Federation of Automatic Control, vol. I, pp. 375-380, 1996.
[6.9] T. Oliveira e Silva, "On the Adaptation of the Pole of Laguerre-Lattice Filters," Signal Processing VIII: Theories and Applications (Proceedings of EUSIPCO-96), vol. II, pp. 1239-1242, 1996. [Proceedings of EUSIPCO-96. Eighth European Signal Processing Conference. Trieste, Italy, 10-13 September 1996]
[6.10] T. Oliveira e Silva and H. J. W. Belt, "On the Determination of the Optimal Center and Scale Factor for Truncated Hermite Series," Signal Processing VIII: Theories and Applications (Proceedings of EUSIPCO-96), vol. III, pp. 1563-1566, 1996. [Proceedings of EUSIPCO-96. Eighth European Signal Processing Conference. Trieste, Italy, 10-13 September 1996]
[6.11] Tomás Oliveira e Silva, "On the Application of an Optimal Spline Sampling Theorem to Parametric Modeling of Nonstationary Signals," 1997 International Workshop on Sampling Theory and Applications, pp. 425-430, 1997. [SAMPTA'97]
[6.12] Tomás Oliveira e Silva, "The Generalized Orthonormal Basis Functions Lattice Model --- Some Theoretical Results," Proceedings of the 9th Portuguese Conference on Pattern Recognition (RecPad'97), pp. 29-34, 1997.
[6.13] Tomás Oliveira e Silva, "Some Results Concerning the Asymptotic Eigenvalue Distribution of Block-Toeplitz Matrices Related to the Generalized Orthonormal Basis Function Model," Proceedings of the 36th IEEE Conference on Decision and Control, vol. 5, pp. 4932-4937, Dec. 1997.
[6.14] Tomás Oliveira e Silva, "Asymptotic Eigenvalue Distribution of a Certain Class of Block-Toeplitz Matrices," Mathematical Theory of Networks and Systems, pp. 515-518, 1998. [MTNS-98]
[6.15] Tomás Oliveira e Silva, "On the Design of Linear-in-the-Parameters Adaptive Filters," 5th International Conference on Electronics, Circuits and Systems, vol. 1, pp. 385-388, 1998. [ICECS 98]
[6.16] Paul Van den Hof, Bo Wahlberg, Peter Heuberger, Brett Ninness, Jozsef Bokor and Tomás Oliveira e Silva, "Modelling and Identification with Rational Orthogonal Basis Functions," System Identification (SYSID 2000), vol. 2, pp. 445-456, 2000.
[6.17] Tomás Oliveira e Silva, "Optimal Pole Conditions for Laguerre and Two-Parameter Kautz Models: A Survey of Known Results," System Identification (SYSID 2000), vol. 2, pp. 457-462, 2000.
[6.18] Tomás Oliveira e Silva, "Optimal Pole Conditions for Laguerre Models that Satisfy Some Interpolation Constraints, using an |·|_p norm, 1<p<∞," Signal Processing X: Theories and Applications (Proceedings of EUSIPCO 2000), vol. IV, pp. 2477-2480, 2000.
[6.19] Tomás Oliveira e Silva, "On the Choice of a Basis for a Linear-in-the-Parameters Model," EUSIPCO'2002--XI European Signal Processing Conference, vol. II, pp. 203-206, 2002.
[6.20] Tomás Oliveira e Silva, "Simple technique to obtain a Discrete-Time Controller from a Continuous-Time One," Proceedings of the 5-th Portuguese Conference on Automatic Control, pp. 459-464, 2002. [Controlo 2002]

Presentations in Portuguese conferences and workshops

[7.1] Tomás Oliveira e Silva, Joaquim Fernando Oliveira dos Reis Soares, Pedro Guedes de Oliveira and António Martins da Silva, "Análise em Tempo Real das Características Topográficas da Actividade Epileptiforme no EEG," BIOENG'88, Mar. 1988.
[7.2] T. A. M. Oliveira e Silva and A. M. de Oliveira Duarte, "Síntese e Optimização de Filtros Equalizadores para Telecomunicações," Proceedings do Terceiro Simpósio de Electrónica das Telecomunicações, May 1988.

Technical reports

[8.1] Tomás Oliveira e Silva, "Kautz filters," Sep. 1994. English translation of a work written in Portuguese for the ``Prémio Científico IBM 94''.
[8.2] Tomás Oliveira e Silva, "Rational Orthonormal Functions on the Unit Circle and on the Imaginary Axis, with Applications in System Identification," Oct. 1995.
Electronic copy available in the following formats: PostScript (compressed with gzip) and Adobe PDF.