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arXiv · 2211.05448

On the Capacity of "Beam-Pointing" Channels with Block Memory and Feedback: The Binary Case

Siyao Li·Giuseppe Caire
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Abstract

Millimeter-wave (mmWave) communication is one of the key enablers for 5G systems as it provides larger system bandwidth and the possibility of packing numerous antennas in a small form factor for highly directional communication. In order to materialize the potentially very high beamforming gain, the transmitter and receiver beams need to be aligned. Practically, the Angle-of-Departure (AoD) remains almost constant over numerous consecutive time slots, which presents a state-dependent channel with memory. In addition, the backscatter signal can be modeled as a (causal) generalized feedback. The capacity of such channels with memory is generally an open problem in information theory. Towards solving this difficult problem, we consider a "toy model", consisting of a binary state-dependent (BSD) channel with in-block memory (iBM) [1] and one unit-delayed feedback. The capacity of this model under the peak transmission cost constraint is characterized by an iterative closed-form expression. We propose a capacity-achieving scheme where the transmitted signal carries information and meanwhile uniformly and randomly probes the beams with the help of feedback.

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Siyao Li, Giuseppe Caire. 2022-11-16. On the Capacity of "Beam-Pointing" Channels with Block Memory and Feedback: The Binary Case. https://arxiv.org/abs/2211.05448

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