Various spike-trains from a digital spiking neuron: analysis of inter-spike intervals and their modulation

A digital spiking neuron can generate spike-trains having various inter-spike intervals (ISIs). Using an ISI-based modulation method, the spike-train can be symbolized by a digital code. We propose fast and rigorous analysis methods for the dynamics of the ISI and characteristics of the modulation. Then we can show that the DSN can encode a given input information into the output spike-train efficiently in a parameter case. Using an FPGA board, generation of a typical spike-train and its modulation can be confirmed in the laboratory.

[1]  Toshimichi Saito,et al.  Synchronization phenomena in pulse-coupled networks driven by spike-train inputs , 2004, IEEE Transactions on Neural Networks.

[2]  Eugene M. Izhikevich,et al.  Weakly pulse-coupled oscillators, FM interactions, synchronization, and oscillatory associative memory , 1999, IEEE Trans. Neural Networks.

[3]  DeLiang Wang,et al.  Synchrony and Desynchrony in Integrate-and-Fire Oscillators , 1998, Neural Computation.

[4]  Nikolai F. Rulkov,et al.  Pseudo-chaotic time hopping for UWB impulse radio , 2001 .

[5]  Toshimichi Saito,et al.  Reconfigurable Digital Spiking Neuron and Its Pulse-Coupled Network: Basic Characteristics and Potential Applications , 2006, IEEE Transactions on Circuits and Systems II: Express Briefs.

[6]  T. Saito,et al.  Novel digital spiking neuron and its pulse-coupled network: spike position coding and multiplex communication , 2005, Proceedings. 2005 IEEE International Joint Conference on Neural Networks, 2005..

[7]  Reinhard Eckhorn,et al.  Neural mechanisms of scene segmentation: recordings from the visual cortex suggest basic circuits for linking field models , 1999, IEEE Trans. Neural Networks.

[8]  Byeong Gi Lee,et al.  A theory on sequence spaces and shift register generators , 1996, IEEE Trans. Commun..

[9]  Ian Oppermann,et al.  UWB wireless sensor networks: UWEN - a practical example , 2004, IEEE Communications Magazine.

[10]  Stephen Wolfram,et al.  Universality and complexity in cellular automata , 1983 .

[11]  Charles J. Colbourn,et al.  Sequence designs for ultra-wideband impulse radio with optimal correlation properties , 2004, IEEE Transactions on Information Theory.

[12]  Xiaodong Gu,et al.  Image shadow removal using pulse coupled neural network , 2005, IEEE Transactions on Neural Networks.

[13]  David Thomas,et al.  The Art in Computer Programming , 2001 .

[14]  J J Hopfield,et al.  Rapid local synchronization of action potentials: toward computation with coupled integrate-and-fire neurons. , 1995, Proceedings of the National Academy of Sciences of the United States of America.

[15]  E. Ott Chaos in Dynamical Systems: Contents , 1993 .

[16]  Lai,et al.  Validity of threshold-crossing analysis of symbolic dynamics from chaotic time series , 2000, Physical review letters.

[17]  Nabil H. Farhat,et al.  The Bifurcating Neuron Network 2: an analog associative memory , 2002, Neural Networks.