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We study the degrees of freedom (DoF) of a $K$-user parallel MISO broadcastchannel with arbitrary levels of partial CSIT over each subchannel. We derive asum-DoF upperbound which depends on the average CSIT quality of each user. Thisupperbound is shown to be tight under total order, i.e. when the order of userswith respect to their CSIT qualities is preserved over all subchannels. In thiscase, it is shown that separate coding over each subchannel is optimum in asum-DoF sense.

On the DoF of Parallel MISO BCs with Partial CSIT: Total Order and Separability