DocumentCode :
37952
Title :
The Generalized Diversity-Multiplexing Tradeoff of the MIMO Z Interference Channel
Author :
Karmakar, Sanjay ; Varanasi, Mahesh K.
Author_Institution :
Dept. of Electr. Comput. Eng., North Dakota State Univ., Fargo, ND, USA
Volume :
61
Issue :
6
fYear :
2015
fDate :
Jun-15
Firstpage :
3427
Lastpage :
3445
Abstract :
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 general case with an arbitrary number of antennas at each node under the assumptions of full channel state information at the transmitters (CSIT) and a short-term average power constraint. In the GDMT framework, which captures the rate versus reliability tradeoff in 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, so that their ratios relative to a nominal SNR in the decibel scale, i.e., the SNR and INR exponents, are arbitrary and fixed. It is shown that a simple Han-Kobayashi message-splitting/partial interference decoding scheme that uses only partial CSIT-in which the second transmitter´s signal depends only on its cross-link channel matrix and the first user´s transmit signal does not need any CSIT-can 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 range of multiplexing gains. The size of this range depends on the numbers of antennas at the four nodes and the SNR and INR exponents of the direct and cross links, respectively. For certain classes of channels including those in which the interfered receiver has more antennas than do the other nodes, or when the INR exponent is greater than a certain threshold, the GDMT of the MIMO Z-IC under the No-CSIT assumption is also completely characterized.
Keywords :
MIMO communication; antennas; diversity reception; fading channels; matrix algebra; multiplexing; radio transmitters; radiofrequency interference; GDMT framework; Han-Kobayashi message-splitting scheme; Han-Kobayashi partial interference decoding scheme; MIMO Z interference channel; Z-IC; channel state information-at-the-transmitters; cross-link channel matrix; cross-link interference-to-noise ratio; direct link SNR; generalized diversity-multiplexing tradeoff; high signal-to-noise ratio regime; multiinput multioutput Z interference channel; multiplexing gains; quasistatic fading channel; short-term average power constraint; two-user channel; Encoding; Fading; Integrated circuits; MIMO; Receivers; Signal to noise ratio; Transmitters; Channel state information; MIMO; Z channel; diversity-multiplexing tradeoff; interference channel; quasi-static fading;
fLanguage :
English
Journal_Title :
Information Theory, IEEE Transactions on
Publisher :
ieee
ISSN :
0018-9448
Type :
jour
DOI :
10.1109/TIT.2015.2425297
Filename :
7091917
Link To Document :
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