Joint message and state transmission under arbitrarily varying jamming is investigated in this paper. The problem is modeled as the transmission over a channel with random states with a fixed distribution and jamming that varies in an unknown manner. We consider cases in which the channel state is known at the encoder strictly causally and noncausally. For each case, both the average error criterion and the maximal error criterion of the message transmission are adopted. The main results of this paper are lower bounds of the capacity--distortion function of the aforementioned scenarios. Some capacity-achieving cases are also provided. The proposed coding schemes are deterministic, and no correlated randomness is needed to achieve reliable communication and estimation. It turns out that the performance of the system under the average error can strictly outperform the maximal error case, which is in accordance with normal communication over arbitrarily varying channels.

翻译：本文研究了任意变化干扰下的联合消息与状态传输问题。该问题被建模为在具有固定分布的随机状态信道及以未知方式变化的干扰下的传输过程。我们考虑了编码器分别严格因果和非因果已知信道状态的两种情形。针对每种情形，同时采用消息传输的平均误差准则和最大误差准则。本文的主要成果是前述场景的容量-失真函数下界。同时给出了若干达到容量的特例。所提出的编码方案均为确定性方案，无需借助相关随机性即可实现可靠通信与估计。结果表明，平均误差准则下的系统性能可严格优于最大误差情形，这与任意变化信道上的常规通信规律相符。