First-order Markov property of the auditory spiking neuron model response

This paper explores properties of the spiking neuron model of auditory nerve fiber. As it results from the described reasoning, the model response in a form of the spike sequence is in fact a first-order Markov chain of certain non-overlapping sub-sequences, which, being taken separately, encode the incoming signal on the corresponding time intervals. This observation comes as a direct consequence of the finite precision of the spike registration process at the higher levels of neural signal processing. The result has important implications to the modelling of auditory apparatus and signal processing algorithmic interpretation of hearing physiology.