An efficient approach to ARMA modeling of biological systems with multiple inputs and delays

IEEE Transactions on Biomedical Engineering

Volumn 43, Issue 1, 1996, Pages 1-14

  Perrott, Michael H ^b   Cohen, Richard J ^a,b  

^a IEEE   (United States)

^b MASSACHUSETTS INSTITUTE OF TECHNOLOGY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ARMA MODELING; BIOLOGICAL SYSTEMS; IMPULSE RESPONSES; MULTIPLE DELAYS; MULTIPLE INPUTS;

ALGORITHMS; LINEARIZATION; MATHEMATICAL MODELS; MATHEMATICAL TECHNIQUES; REGRESSION ANALYSIS;

BIOMEDICAL ENGINEERING;

ALGORITHM; ARTICLE; CALCULATION; DATA ANALYSIS; MATHEMATICAL ANALYSIS; MATHEMATICAL MODEL;

NASA DISCIPLINE REGULATORY PHYSIOLOGY; NON-NASA CENTER;

ALGORITHMS; CONFIDENCE INTERVALS; LEAST-SQUARES ANALYSIS; LINEAR MODELS; MODELS, BIOLOGICAL; SIGNAL PROCESSING, COMPUTER-ASSISTED;

EID: 0030034338     PISSN: 00189294     EISSN: None     Source Type: Journal    
DOI: 10.1109/10.477696     Document Type: Article

References (27)

1. L. Ljung, System Identification: Theory for the User. Englewood Cliffs, NJ: Prentice Hall, 1987.
2. W. M. Siebert, Circuits, Signals, and Systems. Cambridge, MA: MIT Press, 1986.
3. S. Cerutti, G. Chiarenza, D. Liberati, P. Mascellani, and G. Pavesi, "A parametric method of identification of single-trial event-related potentials in the brain," IEEE Trans. Biomed. Eng., vol. 35. no. 9, pp. 701-711, Sept. 1988.
4. J. J. Hollkamp and S. M. Batill, "Automated parameter identification and order reduction for discrete time series models," AIAA J., vol. 29, no. 1, pp. 96-103, Jan. 1991.
5. A. Papoulis, Probability, Random Variables, and Stochastic Processes. New York, NY: McGraw-Hill, 1984.
6. S. K. Mitra and J. F. Kaiser, Handbook for digital signal processing. New York: Wiley, 1993.
7. G. Strang, Linear Algebra and its Applications 3rd ed. San Diego: Harcourt Brace Jovanovich, 1988.
8. M. J. Korenberg and L. D. Paarmann, "An orthogonal ARMA identifier with automatic order estimation for biological modeling," Ann. Biomed. Eng., vol. 17, pp. 571-592, 1989.
9. S. M. Batill and J. J. Hollkamp, "Parameter identification of discrete-time series models for structural response prediction," AIAA J., vol. 27, no. 11, pp. 1636-1643, Nov. 1989.
10. B. Wahlberg, "Model reductions of high-order estimated models: the asymptotic ML approach," Int. J. Control, vol. 49, no. 1, pp. 169-192, 1989.
11. G. Liang, M. D. Wilkes, and J. A. Cadzow, "ARMA model order estimation based on the eigenvalues of the covariance matrix," IEEE Trans. Signal Processing, vol. 41, no. 10, pp. 3003-3009, Oct. 1993.
12. K. Yana, J. P. Saul, R. D. Berger, M. H. Perrott, and R. J. Cohen, "A time domain approach for the fluctuation analysis of heart rate related to instantaneous lung volume," IEEE Trans. Biomed. Eng., vol. 40, no. 1, pp. 74-81, Jan. 1993.
13. L. Ljung, System Identification Toolbox for use with MATLAB. South Natick, MA: The Math Works, 1988.
14. H. Akaike, "A new look at the statistical model identification," IEEE Trans. Automat. Contr., vol. AC-19, no. 6, pp. 716-722, Dec. 1974.
15. J. Rissanen, "Modeling by shortest data description," Automatica, vol. 14, pp. 465-471, 1978.
16. E. Hannan, "The estimation of the order of an ARMA process," Ann. Stat., vol. 8, pp. 1071-1081, 1980.
17. T. Soderstrom and P. Stoica, System Identification. Englewood Cliffs, NJ: Prentice-Hall, 1989.
18. J. Rissanen, Consistent order estimates of autoregressive processes by shortest description of data. Analysis and Optimization of Stochastic Systems. New York: Academic, 1980. pp. 451-461.
19. E. Hannan and B. Quinn, "The determination of the order of an autoregression," J. Roy. Stat. Soc., vol. 41, pp. 190-195, 1979.
20. M. Wax and T. Kailath, "Detection of signals by information theoretic criteria," IEEE Trans. Acoust., Speech, Signal Processing, vol. ASSP-33, pp. 387-392, 1985.
21. M. H. Perrott, "An efficient ARX model selection procedure applied to autonomic heart rate variability," masters thesis, M. I. T., 1992.
22. T. Parks and C. Burrus, Digital Filter Design New York: Wiley, 1987. p. 245.
23. W. Press, B. Flannery, S. Teukolsky, and W. Vetterling, Numerical Recipes in C. Cambridge, MA: MIT Press, 1986.
24. J. P. Saul, R. D. Berger, P. Albrecht, and R. J. Cohen, "Transfer function analysis of the circulation: unique insights into cardiovascular regulation," The Amer. Physiol. Soc., pp. H1231-H1245, 1991.
25. M. L. Appel, J. P. Saul, R. D. Berger, and R. J. Cohen, "Closed-loop identification of cardiovascular regulatory mechanisms," Comput. Cardiol., vol. 16, pp. 3-8, 1990.
26. J. P. Saul, R. D. Berger, M. H. Chen, and R. J. Cohen, "Transfer function analysis of autonomic regulation: Ii - respiratory sinus arrhythmia," Amer. J. Physiol, vol. 256, pp. H153-H161, 1989.
27. C. L. Lawson and R. J. Hanson, Solving Least Squares Problems. NJ: Englewood Cliffs, 1974.