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We study downlink beamforming in a single-cell network with a multi-antennabase station serving cache-enabled users. Assuming a library of files with acommon rate, we formulate the minimum transmit power with proactive caching andcoded delivery as a non-convex optimization problem. While this multiplemulticast problem can be efficiently solved by successive convex approximation(SCA), the complexity of the problem grows exponentially with the number ofsubfiles delivered to each user in each time slot, which itself growsexponentially with the number of users. We introduce a low-complexityalternative through time-sharing that limits the number of subfiles received bya user in each time slot. We then consider the joint design of beamforming andcontent delivery with sparsity constraints to limit the number of subfilesreceived by a user in each time slot. Numerical simulations show that thelow-complexity scheme has only a small performance gap to that obtained bysolving the joint problem with sparsity constraints, and outperformsstate-of-the-art results at all signal-to-noise ratio (SNR) and rate valueswith a sufficient number of transmit antennas. A lower bound on the achievabledegrees-of-freedom (DoF) of the low-complexity scheme is derived tocharacterize its performance in the high SNR regime.

Multi-Antenna Coded Content Delivery with Caching: A Low-Complexity Solution