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We propose a concealing-restoring system (CRS) for data on physical layer ofthe OSI reference model. CRS conceals those data by disturbing them with somerandom noises, and restores the data from the concealed ones to the originalones by using the noise elimination based on a proper stochastic filteringtheory. Although we introduced the outline of the almost linear version of CRSin our previous work [Fujii & Hirokawa, Math. Industry, Springer (2020)], weexplain its details, and study its nonlinearization to improve the security ofCRS in this paper.

Concealing-Restoring System for Physical Layer Data Based on Stochastic Filtering Theory