One-bit stochastic resonance storage device

The increasing capacity of modern computers, driven by Moore's Law, is accompanied by smaller noise margins and higher error rates. In this paper we propose a memory device, consisting of a ring of two identical overdamped bistable forward-coupled oscillators, which may serve as a building block in a larger scale solution to this problem. We show that such a system is capable of storing one bit and its performance improves with the addition of noise. The proposed device can be regarded as asynchronous, in the sense that stored information can be retrieved at any time and, after a certain synchronization time, the probability of erroneous retrieval does not depend on the interrogated oscillator. We characterize memory persistence time and show it to be maximized for the same noise range that both minimizes the probability of error and ensures synchronization. We also present experimental results for a hard-wired version of the proposed memory, consisting of a loop of two Schmitt triggers. We show that this device is capable of storing one bit and does so more efficiently in the presence of noise.

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

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

[3]  Noise-sustained signal propagation , 2000 .

[4]  Bruce Jacob,et al.  Modern dram memory systems: performance analysis and scheduling algorithm , 2005 .

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

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

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

[8]  Jie Chen,et al.  A Probabilistic-Based Design Methodology for Nanoscale Computation , 2003, ICCAD 2003.

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

[10]  S. Zacks,et al.  Introduction to stochastic differential equations , 1988 .

[11]  Laszlo B. Kish Noise-based logic: Binary, multi-valued, or fuzzy, with optional superposition of logic states , 2009 .

[12]  K. Vahala Handbook of stochastic methods for physics, chemistry and the natural sciences , 1986, IEEE Journal of Quantum Electronics.

[13]  J. B. Walsh,et al.  An introduction to stochastic partial differential equations , 1986 .

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

[15]  Laszlo B. Kish,et al.  Moore's law and the energy requirement of computing versus performance , 2004 .

[16]  Diego F. Grosz,et al.  Experimental investigation of noise-assisted information transmission and storage via stochastic resonance , 2010 .

[17]  Krishna V. Palem,et al.  Energy, Performance, and Probability Tradeoffs for Energy-Efficient Probabilistic CMOS Circuits , 2008, IEEE Transactions on Circuits and Systems I: Regular Papers.

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

[19]  Krishna V. Palem,et al.  Energy aware computing through probabilistic switching: a study of limits , 2005, IEEE Transactions on Computers.

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

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

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

[23]  L. Romanelli,et al.  Phase Behavior in a Ring of Stochastic oscillators , 2008, Adv. Complex Syst..

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

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

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

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

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