A discussion Is presented of the application of the Kalman filter to systems where the model Is neither linear nor In closed form. The system studied here Involves the modeling of linear scan voltammetrlc responses, where heterogeneous kinetic parameters are estimated. Results are presented for synthetic data and for reduction of Cr(III) and Pb(II) In perchlorate media. It Is demonstrated, using state estimation, that the Cr(III) reduction follows Volmerlan kinetic law.Recently, it has been recognized that modeling of responses obtained from analytical measurements has a number of important applications. Among these are smoothing, the ability to remove noise efficiently without distorting or biasing the signal, and deconvolution, the ability to accurately separate the effects of two processes whose responses couple with one
Semlderlvative methods have been used in the resolution of strongly overlapped reqponses In linear sweep vpltammetry (LSV). I t Is demonstrated that, although a simple form Is available only for a totally reversible eemlderlvatlve, the change in peak shape with decreasing charge-transfer reverslbillty is small. Thls permlts use of a slmple approxlmate equation for fitting all semiderlvatlves regardless ~1 reverslblllty, provided the charqe transfer Is uncompll6ated by other effects.
scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.