Information representation with an ensemble of Hodgkin–Huxley neurons

Motivated by the natural representation of stimuli in sensory systems, we investigate the representation of a bandlimited signal by an ensemble of Hodgkin–Huxley neurons with multiplicative coupling. We show that such a neuronal ensemble is I/O equivalent with an ensemble of integrate-and-fire neurons with variable threshold. The value of the threshold sequence is explicitly given. We describe a general algorithm for recovering the stimulus at the input of the neuronal ensemble.