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This work studies the optimal Degrees-of-Freedom (DoF) of the $K$-User MISOBroadcast Channel (BC) with delayed Channel-State Information at theTransmitter (CSIT) and with additional current noisy CSIT where the currentchannel estimation error scales in~$P^{-\alpha}$ for $\alpha\in[0,1]$. Thispapers establishes for the first time the optimal DoF in this setting thanks toa new transmission scheme which achieves the elusive DoF-optimal combining ofthe Maddah-Ali and Tse scheme (MAT) introduced in their seminal work in $2010$with Zero-Forcing (ZF) for an arbitrary number of users. The derived sum DoFtakes the surprisingly simple form $(1-\alpha) K/H_K+\alpha K$ where$H_K\triangleq \sum_{k=1}^K \frac{1}{k}$ is the sum-DoF achieved using solelyMAT.

Optimal DoF of the K-User Broadcast Channel with Delayed and Imperfect Current CSIT