In this paper it is shown that the nonfeedback capacity of multiple-input multiple-output (MIMO) additive Gaussian noise (AGN) channels, when the noise is nonstationary and unstable, is characterized by an asymptotic optimization problem that involves, a generalized matrix algebraic Riccati equation (ARE) of filtering theory, and a matrix Lyapunov equation of stability theory of Gaussian systems. Furthermore, conditions are identified such that, the characterization of nonfeedback capacity corresponds to the uniform asymptotic per unit time limit, over all initial distributions, of the characterization of a finite block or transmission without feedback information (FTwFI) capacity, which involves, two generalized matrix difference Riccati equations (DREs) and a matrix difference Lyapunov equation.

翻译：本文表明,当噪音非静止和不稳定时,多种投入多重产出(MIMO)加聚高斯噪声(AGN)渠道的不退缩能力,其特征是无症状优化问题,涉及过滤理论的通用矩阵代数立差方程(ARE)和高森系统稳定性理论的Lyapunov方程,此外,还确定了一些条件,即非退缩能力的定性符合所有初始分布的单位统一零用限,即限定区块或传输的定性没有反馈信息(FTwFI)能力,这涉及两种通用矩阵差异里卡提方程(RYEs)和矩阵差异Lyapunov方程。