Diversity of MMSE MIMO Receivers
Ahmed Hesham Mehana, Aria Nosratinia

TL;DR
This paper analyzes the diversity behavior of MMSE MIMO receivers across different rates, revealing conditions for full spatial diversity and comparing performance with other receivers in various channel scenarios.
Contribution
It provides a comprehensive characterization of MMSE MIMO diversity at all rates and extends analysis to frequency selective channels and multiple access scenarios.
Findings
Full spatial diversity is achievable within certain rate bounds.
At low rates, MMSE achieves maximal diversity similar to ML receivers.
At high rates, MMSE's diversity approaches that of zero-forcing receivers.
Abstract
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 fixed rates. The MIMO MMSE receiver does not follow this pattern and exhibits a varying diversity in its family of error curves. This work analyzes this interesting behavior of the MMSE MIMO receiver and produces the MMSE MIMO diversity at all rates. 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 if and only if the rate is within a certain bound which is a function of the number of antennas. For other rates, the available diversity is fully characterized. At sufficiently low rates, the MMSE receiver has a diversity…
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Taxonomy
TopicsAdvanced MIMO Systems Optimization · Advanced Wireless Communication Techniques · Wireless Communication Networks Research
