Channel Capacity and Bounds In Mixed Gaussian-Impulsive Noise (2311.08804v2)

Abstract: Communication systems suffer from mixed noise consisting of both non-Gaussian impulsive noise (IN) and white Gaussian noise (WGN) in many practical applications. However, there is little literature about the channel capacity under mixed noise. In this paper, we first investigate statistical properties of the mixed noise model and demonstrate the existence and uniqueness of the capacity-achieving input distribution under the $p$-th moment constraint. Then, we derive lower and upper capacity bounds with closed expressions. It is shown that the lower bounds can degenerate to the well-known Shannon formula under special scenarios. More importantly, we obtain the convergence of the lower and upper bound and therefore, the asymptotic and analytical capacity expression is obtained. In addition, the capacity for specific modulations and the corresponding lower bounds are discussed. Numerical results reveal that the capacity decreases as the impulsiveness of the mixed noise becomes dominant and the proposed capacity bounds are very tight.