The kernel identification method (1910–1977)— review of theory, calculation, application, and interpretation

摘要: Abstract Frechet (1910) developed a functional series (Frechet-Volterra series) representation of continuous nonlinear system. Wiener (1958) recognized the significance this powerful canonical approach to mathematical system and, after insightfully orthogonalizing Frechet-Volterra series, pioneered method calculation for solution (i.e., obtaining kernels) series. A number methods were by later investigators using direct solution, basis function, time domain, and frequency domain approaches. Katzenelson, Sandberg, Stark (1963) first many apply kernel identification physical physiological systems. Further, Hung, Stark, Eykhoff (1977) emphasized interpretation shapes as correlates characteristics In an attempt unify diverse areas encompassed method, we systematically review theory, calculation, application, from 1910 1977 means concise informative descriptions most significant contributions approach.