Signal Coding and Perfect Reconstruction using Spike Trains
Abstract
In many animal sensory pathways, the transformation from external stimuli to spike trains is essentially deterministic. In this context, a new mathematical framework for coding and reconstruction, based on a biologically plausible model of the spiking neuron, is presented. The framework considers encoding of a signal through spike trains generated by an ensemble of neurons via a standard convolve-then-threshold mechanism. Neurons are distinguished by their convolution kernels and threshold values. Reconstruction is posited as a convex optimization minimizing energy. Formal conditions under which perfect reconstruction of the signal from the spike trains is possible are then identified in this setup. Finally, a stochastic gradient descent mechanism is proposed to achieve these conditions. Simulation experiments are presented to demonstrate the strength and efficacy of the framework
Cite
@article{arxiv.1906.00092,
title = {Signal Coding and Perfect Reconstruction using Spike Trains},
author = {Anik Chattopadhyay and Arunava Banerjee},
journal= {arXiv preprint arXiv:1906.00092},
year = {2019}
}