An outer bound for the degrees of freedom (DoF) region of the K-user multiple-input single-output (MISO) broadcast channel (BC) is developed under the hybrid channel state information at transmitter (CSIT) model, in which the transmitter has instantaneous CSIT of channels to a subset of the receivers and delayed CSIT of channels to the rest of the receivers. For the 3-user MISO BC, when the transmitter has instantaneous CSIT of the channel to one receiver and delayed CSIT of channels to the other two, two new communication schemes are designed, which are able to achieve the DoF tuple of 1, 1 3 , 1 3 , with a sum DoF of 5 3 , that is greater than the sum DoF achievable only with delayed CSIT. Another communication scheme showing the benefit of the alternating CSIT model is also developed, to obtain the DoF tuple of 1, 4 9 , 4 9 for the 3-user MISO BC.
The degrees of freedom (DoF) region of the two-user MIMO (multiple-input multiple-output) interference channel is established under a new model termed as hybrid CSIT. In this model, one transmitter has delayed channel state information (CSI) and the other transmitter has instantaneous CSIT, of incoming channel matrices at the respective unpaired receivers, and neither transmitter has any knowledge of the incoming channel matrices of its respective paired receiver. The DoF region for hybrid CSIT, and consequently that of 2 × 2 × 3 5 CSIT models, is completely characterized, and a new achievable scheme based on a combination of transmit beamforming and retrospective interference alignment is developed. Conditions are obtained on the numbers of antennas at each of the four terminals such that the DoF region under hybrid CSIT is equal to that under (a) global and instantaneous CSIT and (b) global and delayed CSIT, with the remaining cases resulting in a DoF region with hybrid CSIT that lies somewhere in between the DoF regions under the instantaneous and delayed CSIT settings. Further synergistic benefits accruing from switching between the two hybrid CSIT models are also explored.
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