Computer Science – Information Theory
Scientific paper
2011-05-12
Computer Science
Information Theory
25 pages, 2 figures
Scientific paper
This paper investigates the diversity-multiplexing gain trade-off (DMT) of a training based TDD-SIMO system with (i) perfect channel state information (CSI) at the receiver (CSIR) and noisy CSI at the transmitter (CSIT), and (ii) noisy CSIR and noisy CSIT. In both the cases, the CSIT is acquired through a training sequence from the receiver to the transmitter chosen in an intelligent manner. With perfect CSIR, two schemes are proposed for reverse channel training. The first scheme uses constant (fixed) training power and is shown to achieve a diversity order of $d(g_m) =r(2-g_m L_c/(L_c-L_{B,\tau}))$, where $g_m$ is the multiplexing gain, $L_c$ is the coherence time of the channel, $r$ is the number of receive antennas, and $L_{B,\tau}$ is the reverse training duration. This is in contrast with conventional orthogonal training schemes, whose diversity order is known to saturate as the number of receive antennas is increased. The second scheme uses power controlled training and is shown to achieve an infinite diversity order with constant rate transmission. In case of noisy CSIR and noisy CSIT, we propose and analyze a three-way training scheme, and show that nearly the same diversity order is achievable as in the perfect CSIR case.
Bharath B. N.
Murthy Chandra R.
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