Digital model of spiking neuron based on the Z-transform

Spiking neural networks have been developing intensively for two recent decades as a powerful tool of computational intelligence but they still lack for an approach that would allow of describing their architecture and behaviour in common terms of technical sciences. A digital model of spiking neuron is proposed in this paper. It is shown a spiking neuron can be successfully modelled with the Z-transform. The signal processing system constructed in such way preserves biological neurons features, on the one hand, and, on the other hand, is a pure digital system that can be easily built.