Diversity-Multiplexing Tradeoff in Selective-Fading MIMO Channels
Pedro Coronel, Helmut B\"olcskei

TL;DR
This paper determines the optimal diversity-multiplexing tradeoff for various selective-fading MIMO channels and provides a code design criterion ensuring DM-tradeoff optimality, using the Jensen channel analysis.
Contribution
It establishes the optimal DM-tradeoff for selective-fading MIMO channels and introduces a code design criterion based on the Jensen channel analysis.
Findings
Optimal DM-tradeoff characterized for time, frequency, and time-frequency selective-fading MIMO channels.
Classical rank criterion for space-time code design is sufficient for DM-tradeoff optimality.
Jensen channel analysis simplifies the complex mutual information problem.
Abstract
We establish the optimal diversity-multiplexing (DM) tradeoff of coherent time, frequency and time-frequency selective-fading MIMO channels and provide a code design criterion for DM-tradeoff optimality. Our results are based on the analysis of the "Jensen channel" associated to a given selective-fading MIMO channel. While the original problem seems analytically intractable due to the mutual information being a sum of correlated random variables, the Jensen channel is equivalent to the original channel in the sense of the DM-tradeoff and lends itself nicely to analytical treatment. Finally, as a consequence of our results, we find that the classical rank criterion for space-time code design (in selective-fading MIMO channels) ensures optimality in the sense of the DM-tradeoff.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsAdvanced Wireless Communication Techniques · Advanced MIMO Systems Optimization · Cooperative Communication and Network Coding
