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Abstract: The fundamental generalized diversity-multiplexing tradeoff GDMT of thequasi-static fading MIMO Z interference channel Z-IC is established for thegeneral Z-IC with an arbitrary number of antennas at each node under theassumptions of full channel state information at the transmitters CSIT and ashort-term average power constraint. In the GDMT framework, the direct linksignal-to-noise ratios SNR and cross-link interference-to-noise ratio INRare allowed to vary so that their ratios relative to a nominal SNR in the dBscale, i.e., the SNR-INR exponents, are fixed. It is shown that a simpleHan-Kobayashi message-splitting-partial interference decoding scheme that usesonly partial CSIT - in which the second transmitter-s signal depends only onits cross-link channel matrix and the first user-s transmit signal doesn-t needany CSIT whatsoever - can achieve the full-CSIT GDMT of the MIMO Z-IC. TheGDMT of the MIMO Z-IC under the No-CSIT assumption is also obtained for somerange of multiplexing gains. The size of this range depends on the numbers ofantennas at the four nodes and the SNR and INR exponents of the direct andcross links, respectively. For certain classes of channels including those inwhich the interfered receiver has more antennas than do the other nodes, orwhen the INR exponent is greater than a certain threshold, the GDMT of the MIMOZ-IC under the No-CSIT assumption is completely characterized.



Author: Sanjay Karmakar, Mahesh K. Varanasi

Source: https://arxiv.org/



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