The K-user multiple-input and multiple-output (MIMO) broadcast channel (BC) with no channel state information at the transmitter (CSIT) is considered, where each receiver is assumed to be equipped with reconfigurable antennas capable of choosing a subset of receiving modes from several preset modes. Under general antenna configurations, the sum linear degrees of freedom (LDoF) of the K-user MIMO BC with reconfigurable antennas is completely characterized, which corresponds to the maximum sum DoF achievable by linear coding strategies. The LDoF region is further characterized for a class of antenna configurations. Similar analysis is extended to the K-user MIMO interference channels with reconfigurable antennas and the sum LDoF is characterized for a class of antenna configurations.
Index TermsBlind interference alignment, broadcast channels, degrees of freedom (DoF), multiple-input and multiple-output (MIMO), reconfigurable antennas.
I. INTRODUCTIONRecently, there have been considerable researches on characterizing the degrees of freedom (DoF) of wireless networks. As current wireless networks become very complicated, exact capacity characterization is so difficult that many researchers have actively studied approximate capacity characterizations in the shape of DoF. The DoF is the prelog factor of capacity, providing an intuitive metric for the number of interference-free communication channels that wireless networks can attain at the high signal-to-noise ratio (SNR) regime. Hence, it is regarded as a primary performance metric for multiantenna and/or multiuser communication systems. Cadambe and Jafar recently made a remarkable progress on understanding DoF of multiuser wireless networks showing that the sum DoF of the K-user interference channel (IC) is given by K/2 [1]. An innovative methodology called interference alignment (IA) has been proposed to obtain K/2 DoF, which aligns multiple interfering signals into the same signal space at each receiver. The concept of such signal space alignment has been successfully adapted to various network environments, e.g., see [2]-[8] and the references therein. More recently, different strategies of IA were further developed in terms of ergodic IA [9]-[12] and real IA [13], [14].Note that most of the previous researches including the aforementioned IA techniques have focused on DoF of wireless networks under the assumption that each transmitter perfectly knows global channel state information (CSI). However, for many practical communication systems, acquiring the exact CSI value at transmitters is very challenging due to channel feedback delay, system overhead, and so on. Motivated by these practical restrictions, implementing IA under a more relaxed CSI condition has been actively studied in the literature. Maddah-Ali and Tse made a breakthrough in [15] demonstrating that completely outdated CSI is still useful to improve DoF of the K-user multiple-input and single-output (MISO) broadcast channel (BC). Preceded by [15], there have been a series of researches for studyin...