Enhanced information transmission with signal-dependent noise in an array of nonlinear elements.

We have investigated information transmission in an array of threshold units that have signal-dependent noise and a common input signal. We demonstrate a phenomenon similar to stochastic resonance and suprathreshold stochastic resonance with additive noise and show that information transmission can be enhanced by a nonzero level of noise. By comparing system performance to one with additive noise we also demonstrate that the information transmission of weak signals is significantly better with signal-dependent noise. Indeed, information rates are not compromised even for arbitrary small input signals. Furthermore, by an appropriate selection of parameters, we observe that the information can be made to be (almost) independent of the level of the noise, thus providing a robust method of transmitting information in the presence of noise. These result could imply that the ability of hair cells to code and transmit sensory information in biological sensory systems is not limited by the level of signal-dependent noise.

[1]  K. Seki,et al.  PERIODICALLY DRIVEN LINEAR SYSTEM WITH MULTIPLICATIVE COLORED NOISE , 1998 .

[2]  François Chapeau-Blondeau,et al.  Suprathreshold stochastic resonance and noise-enhanced Fisher information in arrays of threshold devices. , 2003, Physical review. E, Statistical, nonlinear, and soft matter physics.

[3]  Carson C. Chow,et al.  Stochastic resonance without tuning , 1995, Nature.

[4]  Bulsara,et al.  Time-interval sequences in bistable systems and the noise-induced transmission of information by sensory neurons. , 1991, Physical review letters.

[5]  Carson C. Chow,et al.  Enhancing aperiodic stochastic resonance through noise modulation. , 1998, Chaos.

[6]  Petr Lánský,et al.  Optimum signal in a simple neuronal model with signal-dependent noise , 2005, Biological Cybernetics.

[7]  Laura Sacerdote,et al.  The Ornstein–Uhlenbeck neuronal model with signal-dependent noise , 2001 .

[8]  N. Stocks,et al.  Suprathreshold stochastic resonance in multilevel threshold systems , 2000, Physical review letters.

[9]  Christof Koch,et al.  Detecting and Estimating Signals in Noisy Cable Structures, I: Neuronal Noise Sources , 1999, Neural Computation.

[10]  N G Stocks,et al.  Generic noise-enhanced coding in neuronal arrays. , 2001, Physical review. E, Statistical, nonlinear, and soft matter physics.

[11]  M. Kuno,et al.  Quantal analysis of a decremental response at hair cell‐afferent fibre synapses in the goldfish sacculus. , 1982, The Journal of physiology.

[12]  Frank Moss,et al.  Noise enhancement of information transfer in crayfish mechanoreceptors by stochastic resonance , 1993, Nature.

[13]  V. Anderson Digital Array Phasing , 1959 .

[14]  Frank Moss,et al.  Stochastic resonance: noise-enhanced order , 1999 .

[15]  David Allingham,et al.  THE APPLICATION OF SUPRATHRESHOLD STOCHASTIC RESONANCE TO COCHLEAR IMPLANT CODING , 2002, The Random and Fluctuating World.

[16]  T. Furukawa,et al.  Quantal analysis of the size of excitatory post‐synaptic potentials at synapses between hair cells and afferent nerve fibres in goldfish. , 1978, The Journal of physiology.

[17]  André Longtin,et al.  Stochastic resonance in models of neuronal ensembles , 1997 .

[18]  Kurt Wiesenfeld,et al.  Stochastic resonance and the benefits of noise: from ice ages to crayfish and SQUIDs , 1995, Nature.

[19]  K. Seki,et al.  Stochastic resonance driven by Gaussian multiplicative noise , 1997 .

[20]  François Chapeau-Blondeau,et al.  Suprathreshold stochastic resonance and signal-to-noise ratio improvement in arrays of comparators [rapid communication] , 2004 .

[21]  V. Berdichevsky,et al.  Stochastic resonance in linear systems subject to multiplicative and additive noise. , 1999, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[22]  Derek Abbott,et al.  An analysis of noise enhanced information transmission in an array of comparators , 2002 .

[23]  Lenan Wu,et al.  STOCHASTIC RESONANCE AND NOISE-ENHANCED FISHER INFORMATION , 2005 .

[24]  L Schimansky-Geier,et al.  Transmission of noise coded versus additive signals through a neuronal ensemble. , 2001, Physical review letters.

[25]  François Chapeau-Blondeau,et al.  Constructive role of noise in signal detection from parallel arrays of quantizers , 2005, Signal Process..

[26]  Carson C. Chow,et al.  Aperiodic stochastic resonance. , 1996, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[27]  Adi R. Bulsara,et al.  Tuning in to Noise , 1996 .

[28]  William J. McGill,et al.  Alerting signals and detection in a sensory network , 1995 .

[29]  Santucci,et al.  Multiplicative stochastic resonance. , 1994, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[30]  N G Stocks,et al.  Information transmission in parallel threshold arrays: suprathreshold stochastic resonance. , 2001, Physical review. E, Statistical, nonlinear, and soft matter physics.

[31]  Nigel G. Stocks,et al.  The application of Gaussian channel theory to the estimation of information transmission rates in neural systems , 2004, SPIE International Symposium on Fluctuations and Noise.

[32]  Nigel G. Stocks,et al.  Suprathreshold stochastic resonance: an exact result for uniformly distributed signal and noise , 2001 .

[33]  N. D. Stein,et al.  Stochastic resonance for periodically modulated noise intensity. , 1992, Physical review. A, Atomic, molecular, and optical physics.

[34]  Klaus Obermayer,et al.  Adaptation using local information for maximizing the global cost , 2003, Neurocomputing.

[35]  Derek Abbott,et al.  Quantization in the presence of large amplitude threshold noise , 2005 .