Capacity bounds of neuro-spike communication by exploiting temporal modulations

We consider a neuro-spike communication system between two nano-machines, with information conveyed in the time intervals of the input spike train. The main contribution of our paper is modeling of the neuro-spike communication channel by an additive Gamma noise channel model. In this channel, the information is corrupted by Gamma distributed noise. We show that the proposed channel model is efficient for the neuro-spike communication when it exploits temporal modulations to transfer information. Then, we consider the Gamma distributed noise and we derive the upper and lower bounds on the channel capacity. Unlike Additive White Gaussian Noise (AWGN) channels, there is no single quality measure like signal-to-noise ratio for this channel model. Thus, we analyze the channel capacity bounds versus different values of time intervals and the decision threshold of the receiver.

[1]  Ozgur B. Akan,et al.  Information Capacity of Vesicle Release in Neuro-Spike Communication , 2018, IEEE Communications Letters.

[2]  Ilangko Balasingham,et al.  On the Upper Bound of the Information Capacity in Neuronal Synapses , 2016, IEEE Transactions on Communications.

[3]  Ian F. Akyildiz,et al.  Graphene-based Plasmonic Nano-Antenna for Terahertz Band Communication in Nanonetworks , 2013, IEEE Journal on Selected Areas in Communications.

[4]  Özgür B. Akan,et al.  A Physical Channel Model for Nanoscale Neuro-Spike Communications , 2013, IEEE Transactions on Communications.

[5]  S E Fienberg,et al.  Stochastic models for single neuron firing trains: a survey. , 1974, Biometrics.

[6]  Tommaso Melodia,et al.  Opto-ultrasonic communications in wireless body area nanonetworks , 2013, 2013 Asilomar Conference on Signals, Systems and Computers.

[7]  Thomas M. Cover,et al.  Elements of Information Theory , 2005 .

[8]  Behrouz Maham,et al.  Axonal transmission analysis in neuro-spike communication , 2017, 2017 IEEE International Conference on Communications (ICC).

[9]  R. Stein A THEORETICAL ANALYSIS OF NEURONAL VARIABILITY. , 1965, Biophysical journal.

[10]  S. Laughlin,et al.  Ion-Channel Noise Places Limits on the Miniaturization of the Brain’s Wiring , 2005, Current Biology.

[11]  Ioannis Karatzas,et al.  Brownian Motion and Stochastic Calculus , 1987 .

[12]  Behrouz Maham,et al.  Axonal Channel Capacity in Neuro-Spike Communication , 2018, IEEE Transactions on NanoBioscience.

[13]  Yevgeni Koucheryavy,et al.  A Service-Oriented Architecture for Body Area NanoNetworks with Neuron-based Molecular Communication , 2014, Mob. Networks Appl..

[14]  W. Hardy The Conduction of the Nervous Impulse , 1918, Nature.

[15]  R. Reiss Approximate Distributions of Order Statistics: With Applications to Nonparametric Statistics , 1989 .

[16]  Behrouz Maham,et al.  Error probability analysis of neuro-spike communication channel , 2017, 2017 IEEE Symposium on Computers and Communications (ISCC).

[17]  Anthony N. Burkitt,et al.  A Review of the Integrate-and-fire Neuron Model: I. Homogeneous Synaptic Input , 2006, Biological Cybernetics.

[18]  Shiro Ikeda,et al.  Capacity of a Single Spiking Neuron Channel , 2009, Neural Computation.

[19]  Yukio Kosugi,et al.  Modulation of the Time Relation of Action Potential Impulses Propagating Along an Axon , 1981, IEEE Transactions on Biomedical Engineering.