Computer Science – Information Theory
Scientific paper
2011-02-07
Computer Science
Information Theory
Scientific paper
In most MIMO systems, the family of waterfall error curves, calculated at different spectral efficiencies, are asymptotically parallel at high SNR. In other words, most MIMO systems exhibit a single diversity value for all {\em fixed} rates. The MIMO MMSE receiver does not follow this pattern and exhibits a varying diversity in its family of error curves. This effect cannot be captured by DMT analysis, due to the fact that all fixed rates correspond to the same multiplexing gain, thus they cannot be differentiated within DMT analysis. This work analyzes this interesting behavior of the MMSE MIMO receiver and produces the MMSE MIMO diversity at each rate. The diversity of the quasi-static flat-fading MIMO channel consisting of any arbitrary number of transmit and receive antennas is fully characterized, showing that full spatial diversity is possible for all antenna configurations if and only if the rate is within a certain bound which is a function of the number of antennas. For other rate brackets, the available diversity is fully characterized as a function of rate and number of antennas. At sufficiently low rates, the MMSE receiver operates close to the maximum likelihood performance (with maximum diversity), while at high rates it performs similarly to the zero-forcing receiver (with minimal diversity). These results are extended to the MIMO multiple access channel (MAC). Then, the quasi-static {\em frequency selective} MIMO channel is analyzed under zero-padding (ZP) and cyclic-prefix (CP) block transmissions and MMSE reception, and lower and upper bounds on diversity are derived. For the special case of SIMO under ZP/CP, it is shown that the above-mentioned bounds are tight.
Mehana Ahmed Hesham
Nosratinia Aria
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