In this paper, we relate the feedback capacity of parallel additive colored Gaussian noise (ACGN) channels to a variant of the Kalman filter. By doing so, we obtain lower bounds on the feedback capacity of such channels, as well as the corresponding feedback (recursive) coding schemes, which are essentially power allocation policies with feedback, to achieve the bounds. The results are seen to reduce to existing lower bounds in the case of a single ACGN feedback channel, whereas when it comes to parallel additive white Gaussian noise (AWGN) channels with feedback, the recursive coding scheme reduces to a "feedback water-filling" power allocation policy.

翻译：在本文中,我们将平行添加剂加色高斯噪音(ACGN)频道的反馈能力与卡尔曼过滤器的变体联系起来。 通过这样做,我们获得了关于这些频道的反馈能力的较低限制,以及相应的反馈(递归)编码计划,这些计划基本上是配有反馈的权力分配政策,以达到这些限制。结果被视为在单一的ACGN反馈频道中减少到现有的较低限制,而在涉及同时添加剂白高斯噪音(AWGN)频道时,通过反馈,循环编码计划减少为“后补水”电源分配政策。