A dual approach to continuous-time envelope-constrained filter design via orthonormal filters

IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications

Volumn 46, Issue 9, 1999, Pages 1042-1054

  Tseng, Chien Hsun ^b   Teo, Kok Lay ^a,c   Zang, Zhuquan ^b   Cantoni, Antonio ^a,b  

^a IEEE

^b CURTIN UNIVERSITY   (Australia)

^c HONG KONG POLYTECHNIC UNIVERSITY   (Hong Kong)

Author keywords

Carath odory's dimensional method; Continuous time filters; Duality; Envelope constraints; Gradient flow; Hubert spaces; Laguerre processes; Semi infinite programming; Space transformation

Indexed keywords

CARATHEODORY'S DIMENSIONAL METHOD; ENVELOPE CONSTRAINED (EC) FILTERS; GRADIENT FLOW METHOD;

ALGORITHMS; COMMUNICATION CHANNELS (INFORMATION THEORY); CONSTRAINT THEORY; ELECTRIC NETWORK SYNTHESIS; ITERATIVE METHODS; MATHEMATICAL PROGRAMMING; MATHEMATICAL TRANSFORMATIONS; PROBLEM SOLVING; VECTORS;

ELECTRIC FILTERS;

EID: 0033316705     PISSN: 10577122     EISSN: None     Source Type: Journal    
DOI: 10.1109/81.788806     Document Type: Article

References (20)

1. K. M. Ahmed and R. J. Evans, An adaptive array processor with robustness and broadband capabilities, IEEE Trans. Antennas Propagat., vol. AP-32, pp. 944-950, Sept. 1984.
2. CCITT,Physical/electrical characteristics of hierarchical digital interfaces, G.703, Fascicle III, 1984.
3. R. J. Evans, A. Cantoni, and T. E. Fortmann, Envelope-constrainedfilter, Part I, theory and applications; Part II, adaptivestructures, IEEE Trans. Inform. Theory, vol. IT-23, pp. 421-444, July 1977.
4. G. J. Clowes, Choice of the time-scaling factor for linear system approximations using orthonormal Laguerre functions, IEEE Trans. Automat. Contr., vol. 10, pp. 487-489, 1965.
5. H. H. Dam, K. L. Teo, Y. Liu, and S. Nordebo,Optimum pole position for digital Laguerre network with LeastSquare error criterion, in Proc. ICNV99, to be published.
6. T. E. Fortmann and R. J. Evans, Optimal filter design subject to output sidelobe constraints:computational algorithm and numerical results, J. Optimization Theory Appl, vol. 14, pp. 271-290, 1974.
7. S. Ito, Y. Liu, and K. L. Teo, A dual parametrization method for convex semi-infinite programming, in Proc. ICOTA'98, vol. 1, pp. 550-557.
8. W. H. Kautz,Transient synthesis in the time domain, IRE Trans. Circuit Theory, vol. 1, no. 3, pp. 29-38, 1954.
9. D. G. Luenberger, Optimization by Vector Space Method. New York: Wiley, 1969.
10. R. Lucky, J. Salz, and E. J. Weldon, Principles of Data Communications. New York: McGraw-Hill, 1968.
11. Y. W. Lee, Statistical Theory of Communication. New York: Wiley, 1960.
12. P. M. Mäkilä, Laguerre series approximation of infinite dimensional systems, Automatica, vol. 26, no. 6, pp. 885-995, 1990.
13. R. T. Rockafellar, Convex Analysis. Princeton NJ: Princeton Univ. Press, 1970.
14. G. Szegö, Orthogonal polynomials, Amer. Math. Soc. Coll. Publ, vol. 23, 1939.
15. T. Oliverira e Silva,Optimality conditions for truncated Laguerre networks, IEEE Trans. Signal Processing, vol. 42, pp. 2528-2530, Sept. 1994.
16. _, On the determination of the optimal pole position of Laguerre filters, IEEE Trans. Signal Processing, vol. 43, pp. 2079-2087, Sept. 1995.
17. C. H. Tseng, K. L. Teo, A. Cantoni, and Z. Zang, Iterative methods for optimal envelope-constrained filters design problem, ICOTA'98, vol. 1, pp. 534-541.
18. _, Envelope-constrained filters: Adaptive algorithms, IEEE Trans. Signal Processing, to be published.
19. B. Vo, Z. Zang, A. Cantoni, and K. L. Teo, Continuous-time envelope-zconstrained filter design via orthonormal filters, IEEProc. Vision Image Signal Processing, vol. 142, no. 6, 1995.
20. L. C. Wood and S. Treitel, Seismic signal processing, Proc. IEEE (Special Issue on Digital Signal Processing), vol. 63, pp. 649-661, 1975.