Summary

Proceedings of the 2012 International Symposium on Nonlinear Theory and its Applications

2012

Session Number:A1L-A

Session:

Number:13

Information Aggregation via Stochastic Resonance in Moments

Akihisa Ichiki,  Yukihiro Tadokoro,  

pp.13-16

Publication Date:

Online ISSN:2188-5079

DOI:10.15248/proc.1.13

PDF download (329.3KB)

A stochastic resonance (SR) for the purpose of signal detection is investigated. SR conventionally refers to the amplification of a weak signal in the average of the output. This means that only the first moment of the output is considered in the conventional SR. In contrast, higher moments of the output are also modulated by the input signal, and include statistically independent information about the signal. We find that such higher moments can exhibit SR behaviors. The signal-to-noise ratio (SNR) improves compared with the conventional SR, by the appropriate aggregation of the information obtained through the SR in moments. The aggregation is realized by the method known as principal component analysis (PCA). The SNR obtained by PCA also exhibits SR behaviors. We investigate the SR behaviors of moments in a K-valued non-dynamical system.

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