Interpretation of functional series expansions.

Abstract

While much research has been devoted to the implementation and application of Volterra and Wiener functional series expansions in the identification and characterization of biological systems, little effort has been focused on the fundamental problem of interpreting the resulting kernels. This paper describes the application of the series to the components of a known model of the human pupil control system. As more complicated elements are put together, insight into kernel interpretation is built up incrementally until the total system is identified. Practical limitations and methods are also discussed.