Experimental investigation of noise-assisted information transmission and storage via stochastic resonance

We present experimental results on the information transmission and storage via stochastic resonance in circuits designed and built around Schmitt triggers (STs). First, we investigate the performance of a transmission line comprised of five STs and show it to exhibit stochastic resonance. Each ST in the line is fed with white Gaussian noise, and the first ST is driven by a non-return-to-zero pseudo-random bit sequence with sub-threshold amplitude. Parameters such as bit error rate (Q-factor) are measured (calculated) and shown to exhibit a minimum (maximum) for an optimum amount of noise. Interestingly, we find that system performance degrades with the number of STs as if the system were linear and impaired only by additive Gaussian noise. We then propose and build a 1-bit storage device based on two STs in a loop configuration. We demonstrate that such a system is capable of storing one bit of information only in the presence of noise, and that there is a regime where the efficiency of such a device increases with increasing noise.

[1]  G. Giacomelli,et al.  Noise-assisted transmission of binary information: theory and experiment. , 2001, Physical review. E, Statistical, nonlinear, and soft matter physics.

[2]  François Chapeau-Blondeau,et al.  Nonlinear Signal Propagation Enhanced by noise via Stochastic Resonance , 2000, Int. J. Bifurc. Chaos.

[3]  Kazuyuki Aihara,et al.  Stochastic Resonance and Coincidence Detection in Single Neurons , 2002, Neural Processing Letters.

[4]  P. I. Fierens,et al.  Performance robustness of a noise-assisted transmission line , 2009 .

[5]  H. Kramers Brownian motion in a field of force and the diffusion model of chemical reactions , 1940 .

[6]  R. Perazzo,et al.  Fault tolerance in noise-enhanced propagation. , 2000, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[7]  Ulas C. Kozat,et al.  On Binary Detection with Hysteresis , 2002, SIAM J. Appl. Math..

[8]  L. Gammaitoni,et al.  Signal transmission in one-way coupled bistable systems: Noise effect , 1998 .

[9]  S. Fauve,et al.  Stochastic resonance in a bistable system , 1983 .

[10]  François Chapeau-Blondeau,et al.  Noise-assisted signal transmission via stochastic resonance in a diode nonlinearity , 1997 .

[11]  Noise-sustained signal propagation , 2000 .

[12]  A. Sutera,et al.  The mechanism of stochastic resonance , 1981 .

[13]  F. Chapeau-Blondeau Noise-assisted propagation over a nonlinear line of threshold elements , 1999 .

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

[15]  Sudeshna Sinha,et al.  Reliable logic circuit elements that exploit nonlinearity in the presence of a noise floor. , 2009, Physical review letters.

[16]  M. F. Carusela,et al.  Stochastic resonant memory storage device. , 2001, Physical review. E, Statistical, nonlinear, and soft matter physics.

[17]  Sudeshna Sinha,et al.  Exploiting the effect of noise on a chemical system to obtain logic gates , 2009 .

[18]  M. F. Carusela,et al.  Information transmission and storage sustained by noise , 2002 .

[19]  François Chapeau-Blondeau,et al.  Residual aperiodic stochastic resonance in a bistable dynamic system transmitting a suprathreshold binary signal. , 2004, Physical review. E, Statistical, nonlinear, and soft matter physics.

[20]  Adi R. Bulsara,et al.  Realization of reliable and flexible logic gates using noisy nonlinear circuits , 2009 .

[21]  W. Ditto,et al.  Noise Enhanced Propagation , 1998 .

[22]  M. F. Carusela,et al.  Stochastic resonance: numerical and experimental devices , 2003 .

[23]  Paul Horowitz,et al.  The Art of Electronics , 1980 .

[24]  G. Agrawal Fiber‐Optic Communication Systems , 2021 .

[25]  TIME-DELAY PROPERTIES OF A STOCHASTIC-RESONANCE INFORMATION TRANSMISSION LINE , 2008 .

[26]  David Rousseau,et al.  Neuronal Signal Transduction Aided by Noise at Threshold and at Saturation , 2004, Neural Processing Letters.

[27]  E. Hunt,et al.  Noise Sustained Propagation of a Signal in Coupled Bistable Electronic Elements , 1998 .

[28]  Gregoire Nicolis,et al.  Stochastic resonance , 2007, Scholarpedia.

[29]  Wiesenfeld,et al.  Theory of stochastic resonance. , 1989, Physical review. A, General physics.