Large-System Analysis of Correlated MIMO Multiple Access Channels with Arbitrary Signaling in the Presence of Interference

Abstract

Presence of multiple antennas on both sides of a communication channel promises significant improvements in system throughput and power efficiency. In effect, a new class of large multiple-input multiple-output (MIMO) communication systems has recently emerged and attracted both scientific and industrial attention. To analyze these systems in realistic scenarios, one has to include such aspects as co-channel interference, multiple access and spatial correlation. In this paper, we study the properties of correlated MIMO multiple-access channels in the presence of external interference. Using the replica method from statistical physics, we derive the ergodic sum-rate of the communication for arbitrary signal constellations when the numbers of antennas at both ends of the channel grow large. Based on these asymptotic expressions, we also address the problem of sum-rate maximization using statistical channel information and linear precoding. The numerical results demonstrate that when the interfering terminals use discrete constellations, the resulting interference becomes easier to handle compared to Gaussian signals. Thus, it may be possible to accommodate more interfering transmitter-receiver pairs within the same area as compared to the case of Gaussian signals. In addition, we demonstrate numerically for the Gaussian and QPSK signaling schemes that it is possible to design precoder matrices that significantly improve the achievable rates at low-to-mid range of signal-to-noise ratios when compared to isotropic precoding.

Multi-cell cooperation with random user locations under arbitrary signaling

“…This is due to the fact that in the corresponding region non-cooperating BSs experience severe mutual interference, which is the worst indeed under the Gaussian signaling. Note that similar effect was earlier observed in [13].…”

“…We notice that in the non-cooperative setting the channel decomposes into two multi-access channels interfering with each other. To analyze each such multi-access channel we use the result of [13]. From Proposition 1 therein, after some manipulations the asymptotic approximation of the sum-rate becomes…”

On the Spectral Efficiency of Noncooperative Uplink Massive MIMO Systems

“…As {G k,l } andĜ k,k are jointly Gaussian and uncorrelated given {D k,l }, then, where Q Net k , Q Int k are defined in (12). This proves that r IAN nt given in (13) is achievable.…”

“…4a]. Works studying similar channels without restricting the BSs to decode separately and treat interference as noise include [12], which studied the achievable ergodic sum-rate of MIMO MACs with interference and a-priori known channel in the asymptotic number of antennas regime; the works [13]- [15], which studied block-fading MIMO PtP channels; and [16], which focused on MIMO MACs with channel estimation and without interference.…”

Asymptotic Performance Analysis of a $K$ -Hop Amplify-and-Forward Relay MIMO Channel

“…The obtained compact expressions may also be useful for the design of coding schemes improving the system performance. The presented results are potentially extendable to more sophisticated channel models of interest (e.g., Kronecker model or Rician fading) allowing for further performance optimization as in [54]. Another practical problem of interest would be to consider the case of covariance mismatched decoding [45], where the receiver does not know the instantaneous realizations of the intermediate channels.…”