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  • Title: Design and characterization of nonlinear functions for the transmission of a small signal with non-Gaussian noise.
    Author: Kasai S, Tadokoro Y, Ichiki A.
    Journal: Phys Rev E Stat Nonlin Soft Matter Phys; 2013 Dec; 88(6):062127. PubMed ID: 24483406.
    Abstract:
    We design nonlinear functions for the transmission of a small signal with non-Gaussian noise and perform experiments to characterize their responses. Using statistical design theory [A. Ichiki and Y. Tadokoro, Phys. Rev. E 87, 012124 (2013)], a static nonlinear function is estimated from the probability density function of the given noise in order to maximize the signal-to-noise ratio of the output. Using an electronic system that implements the optimized nonlinear function, we confirm the recovery of a small signal from a signal with non-Gaussian noise. In our experiment, the non-Gaussian noise is a mixture of Gaussian noises. A similar technique is also applied to the optimization of the threshold value of the function. We find that, for non-Gaussian noise, the response of the optimized nonlinear systems is better than that of the linear system.
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