Feedback Capacity of Parallel ACGN Channels and Kalman Filter: Power Allocation with Feedback
This work provides new lower bounds and coding schemes for communication engineers designing systems with parallel ACGN channels and feedback, potentially improving power allocation strategies.
This paper establishes a connection between the feedback capacity of parallel additive colored Gaussian noise (ACGN) channels and a variant of the Kalman filter. This connection yields lower bounds on feedback capacity and corresponding recursive coding schemes that act as power allocation policies with feedback.
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.