期刊
EUROPEAN PHYSICAL JOURNAL B
卷 80, 期 2, 页码 147-153出版社
SPRINGER
DOI: 10.1140/epjb/e2010-10471-7
关键词
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资金
- Institute for Pure and Applied Mathematics at UCLA
- National Science Foundation of China [60775057, 61075068]
- National High Technology Research and Development Program of China [2008AA04202]
In the presence of 1/f(beta) noise, we investigate the logical stochastic resonance (LSR) in an asymmetric bistable model driven by various cycling combinations of two logic inputs. The probability of correct logic outputs is calculated according to true table of logic relationships. Two major results are presented. Firstly, it is shown that the LSR effect can be obtained by changing noise strength. Over entire range of noise variance, white noise can be considered to be better than 1/f noise or 1/f(2) noise to obtain clean logic operation. At a smaller noise level, 1/f noise can realize higher output probability than white noise or 1/f(2) noise. In the sense, 1/f noise can be considered to be better than white noise or 1/f(2). On the other hand, the correct probability can evolves nonmonotonically as noise exponent beta increases, and a kind of SR-like effect can be obtained as a result of beta. At certain intermediate noise variance, the output probability is able to attain its minimum at beta = 1. It is also shown that actually some finite beta sometime can be better than beta = 0 at small range of noise variance. The study might provide some potential complement to LSR effect in the presence of 1/f(beta) noise.
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