Degrees of Freedom of Time Correlated MISO Broadcast Channel with Delayed CSIT

Sheng Yang (1) , Mari Kobayashi (1) , David Gesbert (2) , X. Yi (2)

1 E3S - Supélec Sciences des Systèmes
2 Eurecom [Sophia Antipolis]

We consider the time correlated multiple-input single-output (MISO) broadcast channel where the transmitter has imperfect knowledge of the current channel state, in addition to delayed channel state information. By representing the quality of the current channel state information as P-α for the signal-to-noise ratio P and some constant α ≥ 0, we characterize the optimal degrees of freedom region for this more general two-user MISO broadcast correlated channel. The essential ingredients of the proposed scheme lie in the quantization and multicast of the overheard interferences, while broadcasting new private messages. Our proposed scheme smoothly bridges between the scheme recently proposed by Maddah-Ali and Tse with no current state information and a simple zero-forcing beamforming with perfect current state information.

Domains: Mathematics [math]; Information Theory [math.IT]; Computer Science [cs]; Information Theory [cs.IT]

Sheng Yang, Mari Kobayashi, David Gesbert, X. Yi. Degrees of Freedom of Time Correlated MISO Broadcast Channel with Delayed CSIT. IEEE Transactions on Information Theory, 2013, 59 (1), pp.315-328. ⟨10.1109/TIT.2012.2215953⟩. ⟨hal-00827777⟩