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In the setting of the two-user broadcast channel, where a two-antennatransmitter communicates information to two single-antenna receivers, recentwork by Maddah-Ali and Tse has shown that perfect knowledge of delayed channelstate information at the transmitter (perfect delayed CSIT) can be useful, evenin the absence of any knowledge of current CSIT. Similar benefits of perfectdelayed CSIT were revealed in recent work by Kobayashi et al., Yang et al., andGou and Jafar, which extended the above to the case of perfect delayed CSIT andimperfect current CSIT.  The work here considers the general problem of communicating, over theaforementioned broadcast channel, with imperfect delayed and imperfect currentCSIT, and reveals that even substantially degraded and imperfect delayed-CSITis in fact sufficient to achieve the aforementioned gains previously associatedto perfect delayed CSIT. The work proposes novel multi-phase broadcastingschemes that properly utilize knowledge of imperfect delayed and imperfectcurrent CSIT, to match in many cases the optimal degrees-of-freedom (DoF)region achieved with perfect delayed CSIT. In addition to the theoreticallimits and explicitly constructed precoders, the work applies towards gainingpractical insight as to when it is worth improving CSIT quality.

Imperfect Delayed CSIT can be as Useful as Perfect Delayed CSIT: DoF Analysis and Constructions for the BC