Computer Science – Information Theory
Scientific paper
2011-02-01
Computer Science
Information Theory
50 pages, 8 figures, submitted to Trans. Inform. Th., a revised version including additional insights and comparisons with oth
Scientific paper
The capacity region of the 2-user multi-input multi-output (MIMO) Gaussian interference channel (IC) is characterized to within a constant gap that is independent of the signal-to-noise ratio (SNR) and all channel parameters for the general case of the MIMO IC with an arbitrary number of antennas at each node. For a class of MIMO ICs characterized by a certain relationship between the numbers of antennas at the different nodes this gap is strictly smaller than the gap in a previous result obtained by Telatar and Tse. For instance, the gap for the SIMO IC with single antenna transmitters and N-antenna receivers obtained here is 1 bit, instead of N bits. Moreover, in contrast to that previous work, a simple and an explicit achievable coding scheme are given here that have the constant-gap-to-capacity property and in which the sub-rates of the common and private messages of each user are explicitly specified for each achievable rate pair. The constant-gap-to-capacity results are thus proved in this work by first establishing explicit upper and lower bounds to the capacity region. A reciprocity result is also proved which is that the capacity of the reciprocal MIMO IC is within a constant gap of the capacity region of the forward MIMO IC.
Karmakar Sanjay
Varanasi Mahesh K.
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