The Generalized Diversity-Multiplexing Tradeoff of the MIMO Z Interference Channel


The generalized diversity-multiplexing tradeoff (GDMT) of the two-user, quasi-static fading, multi-input, multi-output (MIMO) Z interference channel (Z-IC) is established for the overall case with an arbitrary variety of antennas at every node under the assumptions of full channel state data at the transmitters (CSIT) and a brief-term average power constraint. Within the GDMT framework, that captures the rate versus reliability tradeoff within the high signal-to-noise ratio (SNR) regime, the direct link SNR and cross-link interference-to-noise ratio (INR) are allowed to be disparate, thus that their ratios relative to a nominal SNR in the decibel scale, i.e., the SNR and INR exponents, are arbitrary and fastened. It is shown that a straightforward Han–Kobayashi message-splitting/partial interference decoding theme that uses only partial CSIT—in which the second transmitter’s signal depends only on its cross-link channel matrix and the primary user’s transmit signal does not want any CSIT—will achieve the full-CSIT GDMT of the MIMO Z-IC. The GDMT of the MIMO Z-IC under the No-CSIT assumption is also obtained for some vary of multiplexing gains. The dimensions of this range depends on the numbers of antennas at the four nodes and therefore the SNR and INR exponents of the direct and cross links, respectively. For certain classes of channels as well as those in which the interfered receiver has additional antennas than do the opposite nodes, or when the INR exponent is larger than a sure threshold, the GDMT of the MIMO Z-IC beneath the No-CSIT assumption is additionally completely characterised.

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