Paper Info
Title
Properties of the transmission of pulse sequences in a bistable chain of unidirectionally coupled neurons
Abstract
We study the propagation of pulse sequences in a chain of neurons with sigmoidal input-output relations. The propagating speeds of pulse fronts depend on the widths of the preceding pulses and adjacent pulse fronts interact attractively. Sequences of pulse widths are then modulated through transmission. Equations for changes in pulse width sequences are derived with a kinematical model of propagating pulse fronts. The transmission of pulse width sequences in the chain is expressed as a linear system with additive noise. The gain of the system function increases exponentially with the number of neurons in a high-frequency region. The power spectrum of variations in pulse widths due to spatiotemporal noise also increases in the same manner. Further, the interaction between pulse fronts keeps the coherence and mutual information of initial and transmitted pulse sequences. Results of an experiment on an analog circuit confirm these properties.
Year
DOI
Venue
2010
10.1016/j.neucom.2010.06.020
Neurocomputing
Keywords
Field
DocType
pulse width sequence,adjacent pulse front,pulse front,bistable chain,propagating pulse front,linear system,pulse width,additive noise,transmitted pulse sequence,pulse sequence,preceding pulse,transmission line,high frequency,noise,pulse,power spectrum,input output,analog circuits,mutual information
Control theory,Pulse (signal processing),Spectral density,Artificial intelligence,Ultrashort pulse,Molecular physics,Bistability,Pattern recognition,Transmission line,Pulse-width modulation,Bandwidth-limited pulse,Coherence (physics),Mathematics
Journal
Volume
Issue
ISSN
73
16-18
Neurocomputing
Citations 
PageRank 
References 
0
0.34
9
Authors
2
Name
Order
Citations
PageRank
Yo Horikawa15011.88
Hiroyuki Kitajima2499.35