Design and characterization of nonlinear functions for the transmission of a small signal with non-Gaussian noise.
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.
Graduate School of Information Science and Technology, and Research Center for Integrated Quantum Electronics, Hokkaido University, Sapporo 060-0814, Japan.
Seiya
S
Kasai
Toyota Central R&D Labs., Inc., Nagakute, Aichi 480-1192, Japan.
Yukihiro
Y
Tadokoro
Green Mobility Collaborative Research Center, Nagoya University, Nagoya 464-8603, Japan.
Akihisa
A
Ichiki