Improvement of signal-to-noise ratio in parallel neuron arrays with spatially nearest neighbor correlated noise.

We theoretically investigate the signal-to-noise ratio (SNR) of a parallel array of leaky integrate-and-fire (LIF) neurons that receives a weak periodic signal and uses spatially nearest neighbor correlated noise. By using linear response theory, we derive the analytic expression of the SNR. The res...

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Main Authors: Tianquan Feng, Qingrong Chen, Ming Yi, Zhongdang Xiao
Format: Article
Language:English
Published: Public Library of Science (PLoS) 2018-01-01
Series:PLoS ONE
Online Access:http://europepmc.org/articles/PMC6051645?pdf=render
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author Tianquan Feng
Qingrong Chen
Ming Yi
Zhongdang Xiao
author_facet Tianquan Feng
Qingrong Chen
Ming Yi
Zhongdang Xiao
author_sort Tianquan Feng
collection DOAJ
description We theoretically investigate the signal-to-noise ratio (SNR) of a parallel array of leaky integrate-and-fire (LIF) neurons that receives a weak periodic signal and uses spatially nearest neighbor correlated noise. By using linear response theory, we derive the analytic expression of the SNR. The results show that the amplitude of internal noise can be increased up to an optimal value, which corresponds to a maximum SNR. Given the existence of spatially nearest neighbor correlated noise in the neural ensemble, the SNR gain of the collective ensemble response can exceed unity, especially for a negative correlation. This nonlinear collective phenomenon of SNR gain amplification may be related to the array stochastic resonance. In addition, we show that the SNR can be improved by varying the number of neurons, frequency, and amplitude of the weak periodic signal. We expect that this investigation will be useful for both controlling the collective response of neurons and enhancing weak signal transmission.
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spelling doaj.art-3f627ed6878e44d69ec5ab1e92cab6202022-12-22T02:45:57ZengPublic Library of Science (PLoS)PLoS ONE1932-62032018-01-01137e020089010.1371/journal.pone.0200890Improvement of signal-to-noise ratio in parallel neuron arrays with spatially nearest neighbor correlated noise.Tianquan FengQingrong ChenMing YiZhongdang XiaoWe theoretically investigate the signal-to-noise ratio (SNR) of a parallel array of leaky integrate-and-fire (LIF) neurons that receives a weak periodic signal and uses spatially nearest neighbor correlated noise. By using linear response theory, we derive the analytic expression of the SNR. The results show that the amplitude of internal noise can be increased up to an optimal value, which corresponds to a maximum SNR. Given the existence of spatially nearest neighbor correlated noise in the neural ensemble, the SNR gain of the collective ensemble response can exceed unity, especially for a negative correlation. This nonlinear collective phenomenon of SNR gain amplification may be related to the array stochastic resonance. In addition, we show that the SNR can be improved by varying the number of neurons, frequency, and amplitude of the weak periodic signal. We expect that this investigation will be useful for both controlling the collective response of neurons and enhancing weak signal transmission.http://europepmc.org/articles/PMC6051645?pdf=render
spellingShingle Tianquan Feng
Qingrong Chen
Ming Yi
Zhongdang Xiao
Improvement of signal-to-noise ratio in parallel neuron arrays with spatially nearest neighbor correlated noise.
PLoS ONE
title Improvement of signal-to-noise ratio in parallel neuron arrays with spatially nearest neighbor correlated noise.
title_full Improvement of signal-to-noise ratio in parallel neuron arrays with spatially nearest neighbor correlated noise.
title_fullStr Improvement of signal-to-noise ratio in parallel neuron arrays with spatially nearest neighbor correlated noise.
title_full_unstemmed Improvement of signal-to-noise ratio in parallel neuron arrays with spatially nearest neighbor correlated noise.
title_short Improvement of signal-to-noise ratio in parallel neuron arrays with spatially nearest neighbor correlated noise.
title_sort improvement of signal to noise ratio in parallel neuron arrays with spatially nearest neighbor correlated noise
url http://europepmc.org/articles/PMC6051645?pdf=render
work_keys_str_mv AT tianquanfeng improvementofsignaltonoiseratioinparallelneuronarrayswithspatiallynearestneighborcorrelatednoise
AT qingrongchen improvementofsignaltonoiseratioinparallelneuronarrayswithspatiallynearestneighborcorrelatednoise
AT mingyi improvementofsignaltonoiseratioinparallelneuronarrayswithspatiallynearestneighborcorrelatednoise
AT zhongdangxiao improvementofsignaltonoiseratioinparallelneuronarrayswithspatiallynearestneighborcorrelatednoise