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We investigate multiuser uplink communication from multiple single-antennausers to a base station (BS), which is equipped with a movable-antenna (MA)array and adopts zero-forcing receivers to decode multiple signals. We aim tooptimize the MAs' positions at the BS, to minimize the total transmit power ofall users subject to the minimum rate requirement. After applyingtransformations, we show that the problem is equivalent to minimizing the sumof each eigenvalue's reciprocal of a matrix, which is a function of all MAs'positions. Subsequently, the projected gradient descent (PGD) method isutilized to find a locally optimal solution. In particular, different from thelatest related work, we exploit the eigenvalue decomposition to successfullyderive a closed-form gradient for the PGD, which facilitates the practicalimplementation greatly. We demonstrate by simulations that via carefuloptimization for all MAs' positions in our proposed design, the total transmitpower of all users can be decreased significantly as compared to competitivebenchmarks.

Fluid Antennas-Enabled Multiuser Uplink: A Low-Complexity Gradient Descent for Total Transmit Power Minimization