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Degrees of Freedom of Single-hop and Multi-hop MIMO Interference Networks with Feedback and Cooperation

A multiple-input multiple-output (MIMO) communication network consists of a set of multiantenna transmitters and receivers that communicate over a common noisy medium. Each transmitter has access to a set of messages, each of which it needs to deliver to one of the receivers. Since the transmitter(s) transmit multiple messages over such networks, each receiver encounters interference due to undesired transmissions. This interference seen by the receivers is, in fact, the main factor that limits the capacity regions of such networks. Hence, to attain high data-rates, efficient interference management is crucial, and for the same reason, these networks are also known as interference networks. A common and by far the most important MIMO interference network is a wireless cellular network. A wireless signal after its transmission undergoes attenuation or fading. The set of all channel fading coefficients between different pairs of transmit-receive antennas is called the channel state. If this channel state is known to all terminals of the network, sophisticated interference management schemes can be implemented to achieve high data-rates. While, in practice, channel state information (CSI) can be obtained at the receivers via pilot transmissions, there is no natural way for acquiring CSI at transmitters (CSIT). Unfortunately, the lack of CSIT severely affects the capacity regions of almost all MIMO networks. To avoid this capacity loss, the next-generation cellular standards are making a provision for having feedback links from the receivers to the transmitters over which the latter can be informed about the channel state. However, due to the dynamic nature of the wireless environment, the channel state is time-varying, which makes it difficult for the transmitters to obtain feedback in a timely manner. Specifically, by the time feedback is available