Robust Beamforming for Localization-Aided Millimeter Wave Communication Systems

TL;DR

This paper introduces a robust beamforming approach for mmWave systems that accounts for localization errors, optimizing power and data rate trade-offs through a novel restriction and relaxation method.

Contribution

It proposes a new R&R method that transforms probabilistic constraints into deterministic forms and reformulates the problem into a convex SDP, considering localization error distribution impacts.

Findings

Effective power minimization with localization error considerations

Trade-off analysis between communication performance and positioning accuracy

First to incorporate error distribution impact on CSI in beamforming design

Abstract

In this letter, we investigate a robust beamforming problem for localization-aided millimeter wave (mmWave) communication systems. To handle this problem, we propose a novel restriction and relaxation (R&R) method. The proposed R&R method aims at minimizing the total transmit power while the positioning error follows a Gaussian distribution. Specifically, in the restriction phase of R&R, the probabilistic constraint is transformed into the deterministic form by using the Bernsteintype inequality. In the relaxation phase of R&R, the non-convex optimization problem is reformulated into a convex semidefinite program (SDP) by using semidefinite relaxation (SDR) and firstorder Taylor expansion methods. To the best of our knowledge, we first consider the impact of the distribution of the positioning error on the channel state information (CSI), which further influences the data rate. Numerical results present the trade-off of the beamforming between the communication and positioning.