On the Role of Transmit Correlation Diversity in Multiuser MIMO Systems

• Published in: IEEE transactions on information theory Vol. 63; no. 1; pp. 336 - 354
• Main Authors: Junyoung Nam, Caire, Giuseppe, Jeongseok Ha
• Format: Journal Article
• Language: English
• Published: New York IEEE 01.01.2017; The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
• Subjects: Antennas; Broadcast channel; Correlation; Correlation analysis; Covariance matrix; Downlink; Fading channels; Information theory; large-scale (massive) MIMO; Mathematical analysis; Matrix methods; MIMO; MIMO (control systems); Multiplexing; Normal distribution; random matrix theory; Signal to noise ratio; Subspaces; transmit antenna correlation; Transmitting antennas
• ISSN: 0018-9448; 1557-9654
• DOI: 10.1109/TIT.2016.2615627

Correlation across transmit antennas in multiple-input multiple-output (MIMO) systems has been studied in various scenarios and has been shown to be detrimental or provide benefits depending on the particular system and underlying assumptions. In this paper, we investigate the effect of transmit correlation on the capacity of the Gaussian MIMO broadcast channel, with a particular interest in the large-scale array (or massive MIMO) regime. To this end, we introduce a new type of diversity, referred to as transmit correlation diversity, which captures the fact that the channel vectors of different users may have different channel covariance matrices spanning often nearly mutually orthogonal subspaces. In particular, when taking the cost of downlink training properly into account, transmit correlation diversity can yield significant capacity gains in all regimes of interest. Our analysis shows that the system multiplexing gain can be increased by a factor up to ⌊M/r⌋, where M is the number of antennas and r ≤ M is the common rank of the users channel covariance matrices, with respect to standard schemes that are agnostic of the transmit correlation diversity and treat the channels as if they were isotropically distributed. Thus, this new form of diversity reveals itself as a valuable "new resource" in multiuser communications.