Movable Antennas-Assisted Over-the-Air Computation: Dynamic and Static Design

A novel over-the-air computation (AirComp) framework empowered by movable antennas (MAs) is proposed to significantly enhance computation accuracy. Within this framework, the joint optimization of transmit power control, antenna positioning, and receive beamforming is investigated. Two design strategies are developed: (i) a dynamic design, where MA positions are optimized based on fast-varying instantaneous channel state information (CSI); and (ii) a static design, where antenna positions are optimized using only slow-varying statistical CSI. Numerical results validate the superior MSE performance of the proposed MA-enabled AirComp framework and demonstrate its clear advantage over benchmark systems employing conventional fixed-position antennas (FPAs).