On the existence of a disk algebra basis

Signal Processing

Volumn 80, Issue 5, 2000, Pages 903-907

  Akçay, Hüseyin ^a  

^a ANADOLU UNIVERSITY   (Turkey)

Author keywords

[No Author keywords available]

Indexed keywords

ALGEBRA; APPROXIMATION THEORY; DISCRETE TIME CONTROL SYSTEMS; FOURIER TRANSFORMS; POLES AND ZEROS; WAVELET TRANSFORMS;

FIXED POLE ORTHONORMAL BASIS FUNCTIONS;

SIGNAL FILTERING AND PREDICTION;

EID: 0342955731     PISSN: 01651684     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0165-1684(00)00063-3     Document Type: Article

References (10)

1. H. Akçay, On the uniform approximation of discrete-time systems by generalized Fourier series, IEEE Trans. Signal Process. (1999), submitted for publication.
2. Akçay H., Ninness B. Rational basis functions for robust identification from frequency and time domain measurements. Automatica. 35:1998;1101-1117.
3. p convergence Math. Control Signals Systems. 12:1999;295-305.
4. Bočkarev S.V. Existence of a basis in the space of functions analytic in the disk, and some properties of Franklin's system. Math. Sbornik. 95:1974;1-16.
5. ∞ identification using partial sum operators in a disk algebra basis IEEE Trans. Automat. Control. 43:1998;1117-1122.
6. Heuberger P., Van den Hof P.M.J., Bosgra O. A generalized orthonormal basis for linear dynamical systems. IEEE Trans. Automat. Control. AC-40:1995;451-465.
7. Ninness B., Gustafsson F. A unifying construction of orthonormal bases for system identification. IEEE Trans. Automat. Control. AC-42:1997;515-521.
8. F. Schipp, L. Gianone, J. Bokor, Z. Szabó, Identification in generalized orthogonal basis - a frequency domain approach, Proceedings of the 13th IFAC World Congress, San Fransisco, 1996.
9. Wahlberg B., Mäkilä P.M. On approximation of stable linear dynamical systems using Laguerre and Kautz functions. Automatica. 32:1996;693-708.
10. Ward N.F.D., Partington J.R. Robust identification in the disc algebra using rational wavelets and orthonormal basis functions. Int. J. Control. 64:1996;409-423.