Modeling of imperfect system based on almost orthogonal polynomials

9th International Conference on Telecommunications in Modern Satellite, Cable, and Broadcasting Services, TELSIKS 2009 - Proceedings of Paper

Volumn , Issue , 2009, Pages 514-517

  Danković, Bratislav ^a   Jovanović, Zoran ^a   Nikolić, Saša ^a   Mitić, Dejan ^a  

^a UNIVERSITY OF NI   (Serbia)

Author keywords

Almost orthogonal filter; Almost orthogonality; Imperfect system; Imperfect systems modeling

Indexed keywords

IMPERFECT SYSTEMS; LEGENDRE FUNCTION; ORTHOGONAL FILTERS; ORTHOGONAL POLYNOMIAL; ORTHOGONALITY; PROCESS IDENTIFICATION; THEORETICAL RESULT;

BROADCASTING; CABLES; CIRCUIT THEORY; FOURIER ANALYSIS; MODEL STRUCTURES; SIGNAL PROCESSING;

ORTHOGONAL FUNCTIONS;

EID: 76249098615     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/TELSKS.2009.5339459     Document Type: Conference Paper

References (21)

1. G. Szego″, Orthogonal Polynomials, Amer. Math. Soc., Colloq. Pub. vol.23, Providence 1975.
2. M.M. Djrbashian, "Orthogonal Systems of Rational Functions on the Circle Unit with Given Set of Poles", Dokl. Akad. Nauk SSSR, vol.147, pp.1278-1281, 1962.
3. M.M. Djrbashian, "Orthogonal Systems of Rational Functions on the Circle", Akad. Nauk. Armayan, vol.1, pp.3-24, 1966.
4. Ya.L. Geronimus, Polynomials Orthogonal on a Circle and Interval, Fiz. Mat. Lit., Moscow, 1958.
5. G.V. Milovanović, B. Danković and S. Rančić, "Some Müntz Orthogonal Systems", Journal of Computational and Applied Mathematics, 99 (1998), pp. 299-310.
6. S.B. Marinković, B. Danković, M.S. Stanković and P.M. Rajković, "Orthogonality of Some Sequences of the Racional Functions and the Müntz Polynominals", Journal of Computational and Applied Mathematics, 163 (2004), pp.419-427.
7. P.B. Borwein, T. Erdelyi and J. Zhang, "Müntz Systems and Orthogonal Müntz-Legendre Polynomials", Trans. Amer. Math. Soc., 342 (1994), pp.523-542.
8. B. Danković, G.V. Milovanović and S. Rančić, "Malmquist and Müntz Orthogonal Systems and Applications", in Iner Product Spaces and Applications, T. M. Rassias, eds., Addison-Wesley Longman, Harlow, 1997, pp.22-41.
9. P.C. McCarthy, J.E. Sayre and B.L.R. Shawyer, ,Generalized Legendre Polynomials", Journal of Mathematical Analysis and Applications, 177 (1993), pp.530-537.
10. A.H. Gray, ,Passive Cascaded Lattice Digital Filters", IEEE Transcations on Circuits and Systems, CAS-27, no. 5 (1980), pp.337-344.
11. B. Danković and M. Milojković, "Dynamic Systems Identification using Müntz Function Neural Networks", TELSIKS, Niš, Serbia, 2005.
12. B. Danković, S. Nikolić, M. Milojković and Z. Jovanović, "A Class of Almost Orthogonal Filters", Journal of Circuits, Systems, and Computers, vol.18, no.5, pp.923-931, 2009.
13. A.H. Gray and J.D. Markel, ,A Normalized Digital Filter Structure", IEEE Transactions on Acoustics, Speach and Signal Processing, 23 (1975), pp.268-277.
14. B. Danković and P. Rajković, ,On a Class of Almost Orthogonal Polynomials", Fourth International Conference on Numerical Analysis and Application, Lozenetz, Bulgaria, 2008.
15. B. Danković and P. Rajković, On a Class of Almost Orthogonal Polynomials, Lecture Notes in Computer Science 5434, Springer-Verlag, Berlin, (2009), pp. 241-248.
16. C. Corduneanu, Almost Periodic Function, J. Wiley and Sons, New York, 1968.
17. M. Mitchel, An Introduction to Genetic Algorithms, MIT Press, Cambridge, 1996.
18. J.H. Holland, Adaptation in Natural and Artificial Systems, University of Michigan Press, Ann Arbor, 1975.
19. M. Mitchel, An Introduction to Genetic Algorithms, MIT Press, Cambridge, 1996.
20. B. Danković, D. Antić, Z. Jovanović and M. Milojković, "Genetic Algorithms Applied in Parameter Optimization of Casacade Connected Systems", ICEST, Ohrid, Macedonia, 2007.
21. D. Antić and M. Milojković, ,Nonlinear System Control by using Genetic Algorithms and Fuzzy Sliding Mode, TEHNIKA, Elektrotehnika 56 (2007), pp.9-16.