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Resource allocation in the downlink of OFDMA systems has been studied in a number of works. In, it was proven that the optimal resource allocation that maximizes the sum capacity of the users in the downlink of an OFDMA system with perfect Channel State Information (CSI) is multiuser water-filling. This optimal allocation consists in assigning each subcarrier to the user who has the best channel gain on that subcarrier. The power allocated to each subcarrier is then calculated by water-filling.
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