Application of integral function method for analysis of neuronal spike trains

An alias-free sampling technique proposed by A.S. French and A.V. Holden (1971) is often applied to the analysis of neuronal spike trains. It is based on the integral pulse frequency modulation model and on a low-pass-filtering technique proposed by E.J. Bayley (1968). The authors recently improved the alias-free sampling technique, but when it was applied to isolated spike trains, its accuracy was not as high. Then, they used an integral function method and confirmed that it has high accuracy, even for isolated spike trains, with respect to the demodulation of the generation function.<>