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Stochastic resonance and noise-enhanced Fisher information

机译:随机共振和噪声增强的 Fisher 信息

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摘要

We discuss the signal estimation that can be finished on a signal buried in generalized Gaussian noise based on the quantized version provided by a summing array of threshold devices. In the estimation, the Fisher information contained in the array output about the input signal is investigated. We show that the Fisher information can be improved as the noise intensity increases in the summing array and that a noise with a thinner tail in its distribution can lead to a better improvement, i.e., the fatter tail in the noise distribution may neutralize the beneficial role of noise. These results prove that the phenomenon of stochastic resonance (SR) or supra-threshold stochastic resonance (SSR) exists based on Fisher information in the summing array of threshold devices for generalized Gaussian noise, and that the noise distribution has an effect on the efficacy of SR or SSR. These above results also extend the applicability of the nonlinear phenomenon of SR or SSR in signal estimation.
机译:我们讨论了基于阈值器件求和阵列提供的量化版本,可以对隐藏在广义高斯噪声中的信号进行信号估计。在估计中,研究了阵列输出中包含的有关输入信号的 Fisher 信息。结果表明,随着求和阵列中噪声强度的增加,Fisher信息可以得到改善,并且其分布中尾部较细的噪声可以导致更好的改善,即噪声分布中较胖的尾部可以抵消噪声的有益作用。这些结果证明,广义高斯噪声阈值器件求和阵列中存在基于Fisher信息的随机共振(SR)或超阈值随机共振(SSR)现象,噪声分布对SR或SSR的有效性有影响。上述结果也扩展了SR或SSR非线性现象在信号估计中的适用性。

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