Nonlinear Stochastic System Identification Techniques
Black-box, nonlinear stochastic system identification techniques, such as Wiener, Hammerstein, and Volterra configurations provide broad frameworks of assumptions to model data. Techniques for identifying these systems are currently being developed and applied. In the BioInstrumentation lab, these methods have been successfully used to describe physical systems like conducting polymer films and biological systems such as cardiac myocytes, knee joint dynamics and the mechanical properties of skin in indentation, extension and surface mechanics configurations. These techniques often require specialized high-bandwidth instruments and we build these special instruments at the BioInstrumentation Laboratory.
- Chen, Y. and Hunter, I. W. "Stochastic System Identification of Skin Properties: Linear and Wiener Static Nonlinear Methods." Annals of Biomedical Engineering, 2012, 40 (10), 2277-2291. 
- Pillai, P.V., Hunter, I.W., and Hernandez, E. "Application of Stochastic System Identification to the Study of the Compliance of Electroactive Polymers." Review of Scientific Instruments, 2011, 82 (2), 025103. 
- Tangorra, J.L., Jones, L.A. and Hunter, I.W. "System identification of the human vestibulo-ocular reflex during head-free tracking". Journal of Vestibular Research, 2004, 14(6), 419-441. 
- Korenberg, M.J. and Hunter, I.W. "Two methods for identifying Wiener cascades having noninvertible static nonlinearities". Annals of Biomedical Engineering, 1999, 27(6), 793-804. 
- Korenberg, M.J. and Hunter, I.W. "The identification of nonlinear biological systems: Volterra kernel approaches". Annals of Biomedical Engineering, 1996, 24(2), 250-268. 
- Macniel, J.B., Kearney, R.E., and Hunter, I.W. "Identification of time-varying biological systems from ensemble data". IEEE Transactions on Biomedical Engineering, 1992, 39(12), 1213-1225. 
- Korenberg, M.J. and Hunter, I.W. "The identification of nonlinear biological systems: Wiener kernel approaches". Annals of Biomedical Engineering, 1990, 18(6), 629-654. 
- Kearney, R.E. and Hunter, I.W. "System identification of human joint dynamics". Critical Reviews in Biomedical Engineering, 1990, 18(1), 55-87.
- Kearney, R.E. and Hunter, I.W. "Nonlinear identification of stretch reflex dynamics". Annals of Biomedical Engineering, 1988, 16(1), 79-84. 
- Korenberg, M.J. and Hunter, I.W. "The identification of nonlinear biological systems: LNL cascade models". Biological Cybernetics, 1986, 55(2-3), 125-134. 
- Hunter, I.W. and Korenberg, M.J. "The identification of nonlinear biological systems: Wiener and Hammerstein cascade models ". Biological Cybernetics, 1986, 55(2-3), 135-144. 
- Chen, Y., and Hunter, I. W., "In vivo characterization of skin using a Wiener nonlinear stochastic system identification method", EMBS '09, 31st Annual International Conference of the IEEE, 6010-6013, 2009. 
- Pillai, P. V. and Hunter,I.W., "Thermo-Mechanical Characterization of Polypyrrole Compliance using Stochastic System Identification." in Hybrid Organic Synthetic Biomaterials for Sensing and Actuation, IEEE Engineering in Medicine and Biology Conference, Minneapolis, MN, 2009 ,pp 6834-6837 .