A formula is derived for the capacity of the Gaussian channel with a benevolent message-cognizant rate-limited helper that provides a noncausal description of the noise to the encoder and decoder. This capacity is strictly larger than when the helper is message oblivious, with the difference being particularly pronounced at low signal-to-noise ratios. It is shown that in this setup, a feedback link from the receiver to the encoder does not increase capacity. However, in the presence of such a link, said capacity can be achieved even if the helper is oblivious to the transmitted message.

翻译：本文推导了带有善意且知晓消息的速率受限辅助器的高斯信道容量公式，该辅助器向编码器和解码器提供噪声的非因果描述。该容量严格大于辅助器不知晓消息时的情形，且在低信噪比条件下差异尤为显著。研究表明，在此配置中，从接收端到编码端的反馈链路不会提升信道容量。然而，若存在此类反馈链路，即使辅助器对传输消息未知，所述容量仍可实现。