Optimality conditions for a specific class of truncated kautz series

IEEE Transactions on Circuits and Systems II: Analog and Digital Signal Processing

Volumn 43, Issue 8, 1996, Pages 597-600

  Den Brinker, Albertus C ^a  

^a EINDHOVEN UNIVERSITY OF TECHNOLOGY   (Netherlands)

Author keywords

[No Author keywords available]

Indexed keywords

CONVERGENCE OF NUMERICAL METHODS; DIGITAL FILTERS; ELECTRIC NETWORK SYNTHESIS; FUNCTIONS; LAPLACE TRANSFORMS; POLES AND ZEROS; POLYNOMIALS; TRANSFER FUNCTIONS;

KAUTZ FUNCTIONS; OPTIMALITY CONDITIONS; ORTHONORMALITY; TRUNCATED KAUTZ SERIES;

SIGNAL PROCESSING;

EID: 0030213797     PISSN: 10577130     EISSN: None     Source Type: Journal    
DOI: 10.1109/82.532006     Document Type: Article

References (15)

1. W. H. Kautz, "Transient synthesis in the time domain," IRE Trans. Circuit Theory, vol. CT-1, pp. 29-39, 1954.
2. P. R. Clemens, "On completeness of basis functions used for signal analysis," SIAM Rev. vol. 5, pp. 131-139, 1903.
3. C. Zervos, P. R. Bélanger, and G.A. Dumom. "On PID controllei tuning using orthonormal series identification," Aulomalica, vol. 24. pp. 165-175, 1988.
4. B. Wahlberg, "System identification using Laguerre models," IEEE Trans. Automat. Conlr. 36, pp. 551-562, 1991.
5. Y. Fit and G.A. Dumont. "On determination of Laguerre filter pole through step or impulse response data," in Preprints 12th World Congress It-AC, Sydney, Australia, July 18-23. 1993, vol. 5, pp. 303-307.
6. G. J. Clowes, "Choice of the optimal time-sealing factor for linear system approximations using orthonormal Laguerre functions/' IEEE Tram. Automat. Contr. vol. AC-10, pp. 487-489, 1965.
7. J. J. King and T. O'Canainn, "Optimum pole positions for Laguerrefunction models." Electron. Lent., vol. .1, pp. 601-602, 1969.
8. M. A. Masnadi-Shirazi and N. Ahmed, "Optimum Laguerre networks for a class of discrete-time systems," IEEE Trans. Signal Processing. vol. 39, pp. 2104-2108, 1991.
9. A. C. den Brinker, F. P. A. Benders, and T. A. M. Oliveira e Suva. "Optimality conditions for truncated Kautz series," IEEE Trans. Circuit? Syst. II, vol. 43, pp. 117-122, Feh. 1996.
10. T. Oliveira e Suva, "Optimality conditions for truncated second-order Kautz networks with to complex conjugate poles," IEEE Trans. Automat. Contr.. vol. 40, pp. 342-346, 1995.
11. W. H. Huagins, "Signal theory," IRE Trans. Circuit Theory, vol. CT-3, pp. 210-2l 6. 1956."
12. P. S .C. Heuherger, P. M. J. Van den Hof. and O. H. Bosgra. "Modeling linear dynamical Systems through generalized orthonormal basis functions," in Preprints 12th World Congress IFAC, Sydney, Australia, July 18-23, 1993, vol. 5, pp. 283-286.
13. D. H. Brandwood, "A complex gradient operator and its application in adaptive array theory," in Pmc. IEE 130 Pis. FandH, 1983, pp. 11-16.
14. P. W. Broome, "Discrete orthonormal sequences," J. ACM, vol. 12, pp. 151 168, 1965.
15. A. C. den Brinker, "Optimality conditions for truncated Kautz series based on ,Vth order allpass sections," in Pmc. EUS!PCO-94, Edinburgh (UK). Sept. 13-16, 1994, vol. II, pp. 1086-1089.