The inverse Fourier transform of a complex-valued weighted exponential frequency-domain function is derived. A bounded causal frequency-domain transfer function can be approximated by a sum of exponential functions using numerical techniques such as the Prony's method or the matrix pencil method, which leads to the corresponding time-domain response through an exact inverse Fourier transform. The method is demonstrated in examples with given tabulated frequency-domain data for function interpolation and extra…
scite is a Brooklyn-based startup that helps researchers better discover and evaluate scientific 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 researchers from dozens of countries and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.