Reliable logic circuit elements that exploit nonlinearity in the presence of a noise floor.

@article{Murali2009ReliableLC,
  title={Reliable logic circuit elements that exploit nonlinearity in the presence of a noise floor.},
  author={Krishnamurthy Murali and Sudeshna Sinha and William L. Ditto and Adi R. Bulsara},
  journal={Physical review letters},
  year={2009},
  volume={102 10},
  pages={
          104101
        }
}
The response of a noisy nonlinear system to deterministic input signals can be enhanced by cooperative phenomena. We show that when one presents two square waves as input to a two-state system, the response of the system can produce a logical output (NOR/OR) with a probability controlled by the noise intensity. As one increases the noise (for fixed threshold or nonlinearity), the probability of the output reflecting a NOR/OR operation increases to unity and then decreases. Changing the… Expand

Figures and Tables from this paper

Logical stochastic resonance
In a recent publication it was shown that, when one drives a two-state system with two square waves as input, the response of the system mirrors a logical output (NOR/OR). The probability ofExpand
Realization of reliable and flexible logic gates using noisy nonlinear circuits
It was shown recently [Murali et al., Phys. Rev. Lett. 102, 104101 (2009)] that when one presents two square waves as input to a two-state system, the response of the system can produce a logicalExpand
Construction of logic gates exploiting resonance phenomena in nonlinear systems
TLDR
The conventional LSR paradigm is extended to implement higher-level logic architecture or typical digital electronic structures via carefully crafted coupling schemes and to realize morphable logic gates through the Logical Coherence Resonance in excitable systems under the influence of noise. Expand
Array enhanced logical stochastic resonance in the presence of delta correlated noise
  • L. Zhang, Ya-yuan Xiao, X. Wu
  • Computer Science
  • 2011 Eighth International Conference on Fuzzy Systems and Knowledge Discovery (FSKD)
  • 2011
TLDR
It is demonstrated that the array enhanced logical stochastic resonance has a saturating effect at larger array size, and the small or medium array size is good enough for one to obtain reliable logic operation. Expand
Control of logic gates by dichotomous noise in energetic and entropic systems.
  • Moupriya Das, D. Ray
  • Mathematics, Medicine
  • Physical review. E, Statistical, nonlinear, and soft matter physics
  • 2013
TLDR
It is shown how the input-output correspondence can be controlled by an external exponentially correlated dichotomous noise optimizing the logical response which exhibits a maximum at an intermediate value of correlation time. Expand
The Availability of Logical Operation Induced by Dichotomous Noise for a Nonlinear Bistable System
Instead of a continuous system driven by Gaussian white noise, logical stochastic resonance will be investigated in a nonlinear bistable system with two thresholds driven by dichotomous noise, whichExpand
Coupling induced logical stochastic resonance
Abstract In this work we will demonstrate the following result: when we have two coupled bistable sub-systems, each driven separately by an external logic input signal, the coupled system yieldsExpand
Logic signals driven stochastic resonance in bistable dynamics subjected to 1/f noise floor
Abstract. In the presence of 1/fβ noise, we investigate the logical stochastic resonance (LSR) in an asymmetric bistable model driven by various cycling combinations of two logic inputs. TheExpand
Realizing reliable logical stochastic resonance under colored noise by adding periodic force
Abstract Some noisy nonlinear systems could be exploited to operate as reliable logic gate in an optimal window of noise intensity, which is termed as logical stochastic resonance (LSR). RecentExpand
Enhanced logical stochastic resonance under periodic forcing
TLDR
It is established that in scenarios where noise level is below the minimum threshold required for logical stochastic resonance (or stochastically resonance in general), a periodic forcing can be added to obtain the desired effects. Expand
...
1
2
3
4
5
...

References

SHOWING 1-10 OF 12 REFERENCES
APPL
Statistical packages have been used for decades to analyze large datasets or to perform mathematically intractable statistical methods. These packages are not capable of working with random variablesExpand
Nature
  • R. Rosenfeld
  • Medicine
  • Otolaryngology--head and neck surgery : official journal of American Academy of Otolaryngology-Head and Neck Surgery
  • 2009
TLDR
I am writing with a simple plea to balance the voluminous articles about treatment in your journal with a modicum of information about nature and caring effects to rekindle the perception of physicians as healers, not only treaters, who relish the gifts of nature, and foster the humanistic aspect of medicine that has thrived for millennia. Expand
Phys. Rev. E Phys. Rev. Letts
  • Phys. Rev. E Phys. Rev. Letts
  • 2000
In recent years, the wide-ranging temporal patterns of a nonlinear system have been harnessed to do computational tasks, the so-called " chaos computing " paradigm. See e.g
  • Phys. Rev. Lett. Int. J. Bif. Chaos (Letts.)
  • 1998
In recent years, the wide-ranging temporal patterns of a nonlinear system have been harnessed to do computational tasks, the so-called ''chaos computing
  • Phys. Rev. Lett
  • 1998
Rev. Mod. Phys. Physics Today
  • Rev. Mod. Phys. Physics Today
  • 1996
Computer System Architecture (Prentice Hall
  • New Jersey, 1993); T. C. Bartee, Computer Architecture and Logic Design
  • 1991
Mano Computer System Architecture
  • Bartee Computer Architecture and Logic Design
  • 1991
Science IEEE Trans. Circ. and Systems Phys. Rev. E75
  • Science IEEE Trans. Circ. and Systems Phys. Rev. E75
  • 1935
From the engineering point of view, we have ascertained that SR based NOR logic gates can be concatenated efficiently to give the important combinational Set-Reset Flip Flop operations
  • Int. J. Bifurcation Chaos Appl. Sci. Eng
...
1
2
...