Computer Science – Information Theory
Scientific paper
2010-06-02
Computer Science
Information Theory
Submitted to the Transactions of Information Theory, 31 pages, 6 figures
Scientific paper
The fundamental diversity-multiplexing tradeoff (DMT) of the quasi-static fading MIMO Z interference channel (ZIC) with channel state information at the transmitters (CSIT) and arbitrary number of antennas at each node is derived. A short-term average power constraint is assumed. It is shown that a simple Han-Kobayashi \cite{Han_Kobayashi} coding scheme, where the 2nd transmitter's signal depends on the channel matrix to the first receiver and the 1st user's transmit signal is independent of CSIT, can achieve the full CSIT DMT of the ZIC. We also characterize the achievable DMT of a transmission scheme, which does not utilize any CSIT and show that for some range of multiplexing gains, the full CSIT DMT of the ZIC can be achieved by it. The size of this range of multiplexing gains depends on the system parameters such as the number of antennas at the four nodes (referred to hereafter as "antenna configuration"), signal-to-noise ratios (SNR) and interference-to-noise ratio (INR) of the direct links and cross link, respectively. Interestingly, for certain special cases such as when the interfered receiver has a larger number of antennas or when the INR is stronger than the SNRs, the No-CSIT scheme can achieve the F-CSIT DMT for all multiplexing gains. Thus, under these circumstances, the optimal DMT of the MIMO ZIC with F-CSIT is same as the DMT of the corresponding ZIC with No-CSIT. For other channel configurations, the DMT achievable by the No-CSIT scheme serves as a lower bound to the fundamental No-CSIT DMT of the MIMO ZIC.
Karmakar Sanjay
Varanasi Mahesh K.
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