Information transfer with small-amplitude signals
Neurons and Cognition
2010-08-13 v1 Information Theory
math.IT
Abstract
We study the optimality conditions of information transfer in systems with memory in the low signal-to-noise ratio regime of vanishing input amplitude. We find that the optimal mutual information is represented by a maximum-variance of the signal time course, with correlation structure determined by the Fisher information matrix. We provide illustration of the method on a simple biologically-inspired model of electro-sensory neuron. Our general results apply also to the study of information transfer in single neurons subject to weak stimulation, with implications to the problem of coding efficiency in biological systems.
Keywords
Cite
@article{arxiv.1008.2066,
title = {Information transfer with small-amplitude signals},
author = {Lubomir Kostal and Petr Lansky},
journal= {arXiv preprint arXiv:1008.2066},
year = {2010}
}
Comments
5 pages, 1 figure; published in Physical Review E; this version improves Fig.1