Iterative fast orthogonal search for modeling by a sum of exponentials or sinusoids

Annals of Biomedical Engineering

Volumn 26, Issue 2, 1998, Pages 315-327

  Korenberg, Michael J ^a   Adeney, Kathryn M ^a  

^a QUEEN S UNIVERSITY   (Canada)

Author keywords

Exponential series modeling; Nonlinear least squares; Spectral analysis; Time constant estimation

Indexed keywords

ITERATIVE METHODS; LEAST SQUARES APPROXIMATIONS; MATHEMATICAL MODELS; SPECTRUM ANALYSIS; TIME SERIES ANALYSIS;

EXPONENTIAL SERIES MODELLING; ITERATIVE FAST ORTHOGONAL SEARCH (IFOS) METHOD;

BIOMEDICAL ENGINEERING;

ALGORITHM; ARTICLE; BIOMEDICAL ENGINEERING; FOURIER TRANSFORMATION; SPECTROSCOPY;

EID: 0032033654     PISSN: 00906964     EISSN: None     Source Type: Journal    
DOI: 10.1114/1.90     Document Type: Article

References (20)

1. Adeney, K. M. Orthogonal search techniques for array processing and spectrum estimation, Kingston, Ontario, Canada: Queen's University, M.Sc. Thesis, 1992.
2. Adeney, K. M., and M. J. Korenberg. Fast orthogonal search for direction finding. Electron. Lett. 28:2268-2269, 1992.
3. Adeney, K. M., and M. J. Korenberg. Fast orthogonal search for array processing and spectrum estimation. IEE Proc.: Vis. Image Signal Process. 141:13-18, 1994.
4. Barabell, A. J. Improving the resolution performance of eigenstructure-based direction-finding algorithms. Proceedings of the IEEE International Conference on Acoustics, Speech, Signal Processing, Boston, MA, 1983, pp. 336-339.
5. Desrochers, A. A., On an improved model reduction technique for nonlinear systems, Automatica 17:407-409, 1981.
6. Desrochers, A. A., and S. Mohseni. On determining the structure of a non-linear system. Int. J. Control 40:923-938, 1984.
7. Konvalinka, I. S., and M. R. Matausek. Simultaneous estimation of poles and zeroes in speech analysis and ITIF: Iterative inverse filtering algorithm. IEEE Trans. Acoust., Speech, Signal Process. 27:485-492, 1979.
8. Korenberg, M. J. Orthogonal identification of nonlinear difference equation models. Proceedings of the 28th Midwest Symposium on Cir. Systems 1:90-95, August 1985.
9. Korenberg, M. J. Fast orthogonal identification of nonlinear difference equation and functional expansion models. Proceedings of the 30th Midwest Symposium on Cir. Systems 1:270-276, August 1987.
10. Korenberg, M. J. Exact orthogonal estimation of kernels with biological applications. Proceedings of the IEEE Montech Conference on Biomedical Technologies, 1987, pp. 27-30.
11. Korenberg, M. J. A robust orthogonal algorithm for system identification and time-series analysis. Biol. Cybern. 60:267-276, 1989.
12. Korenberg, M. J., S. A. Billings, Y. P. Liu, and P. J. McIlroy. Orthogonal parameter estimation algorithm for nonlinear stochastic systems. Int. J. Control 48:193-210, 1988.
13. Korenberg, M. J., S. B. Bruder, and P. J. McIlroy. Exact orthogonal kernel estimation from finite data records: Extending Wiener's identification of nonlinear systems. Ann. Biomed. Eng. 16:201-214. 1988.
14. Korenberg, M. J. and L. D. Paarmann. Orthogonal approaches to time-series analysis and system identification. IEEE Signal Process. Mag. 8:29-43, 1991.
15. McIlrOy, P. J. H. Applications of nonlinear systems identification. Kingston, Ontario, Canada: Queen's University, M.Sc. Thesis. 1986.
16. Nugent, S. T., and J. P. Finley. Spectral analysis of periodic and normal breathing in infants. IEEE Trans. Biomed. Eng. 30:672-675, 1983.
17. Press, W. H., B. P. Flannery, S. A. Teukolsky, and W. T. Vetterling. Numerical recipes: The Art of Scientific Computing. Cambridge, U.K.: Cambridge University Press, 1986.
18. Sterman, M. B. Power spectral analysis of EEG characteristics during sleep in epileptics. Epilepsia 22:95-106, 1981.
19. Wong, B. S., H. Lecar, and M. Adler. Single calciumactivated potassium channels in clonal anterior pituitary cells. Biophys. J. 39:313-317, 1982.
20. Ziskind, I., and M. Wax. Maximum likelihood localization of multiple sources by alternating projection. IEEE Trans. Acoust. Speech Signal Process. 36:1553-1560, 1988.