Novel Generic Bounds on the Sum Rate of MIMO ZF Receivers

Abstract

This paper introduces some novel upper and lower bounds on the achievable sum rate of multiple-input multiple-output (MIMO) systems with zero-forcing (ZF) receivers. The presented bounds are not only tractable but also generic since they apply for different fading models of interest, such as uncorrelated/correlated Rayleigh fading and Ricean fading. We further formulate a new relationship between the sum rate and the first negative moment of the unordered eigenvalue of the instantaneous correlation matrix. The derived expressions are explicitly compared with some existing results on MIMO systems operating with optimal and minimum mean-squared error (MMSE) receivers. Based on our analytical results, we gain valuable insights into the implications of the model parameters, such as the number of antennas, spatial correlation and Ricean-factor, on the sum rate of MIMO ZF receivers.Index Terms-Correlated fading, multiple-input multiple-output (MIMO) systems, sum rate, zero-forcing receivers.

Tightness of Jensen’s Bounds and Applications to MIMO Communications

“…However, in most cases of interest, it is really complicated, if not impossible, to evaluate analytically the theoretic expression in (8). Thus, for convenience, many prior works (see [22]- [24,41]) choose to characterize the ergodic capacity via its upper/lower bounds using Jensen's inequality. In what follows, we elaborate on the tightness of Jensen's bounds and provide important insights into their ability to approximate the exact MIMO capacity.…”

Multiuser Relaying over Mixed RF/FSO Links

“…In order to better emphasize the impact of the ordered SIC at the relay, the proposed V-BLAST relaying scheme is compared against the conventional ZF detection approach [48]. Note that when the ZF reception is applied, all the transmitted signals are simultaneously detected at the relay without carrying out any kind of successive signal decoding.…”

“…Note that when the ZF reception is applied, all the transmitted signals are simultaneously detected at the relay without carrying out any kind of successive signal decoding. It is well-known that in the case of ZF, the SNR of each transmitted signal (i.e., the ith unordered source-to-relay SNR) can be expressed as [48] …”

Analysis of Compensation Network in a Correlated-based Channel using Angle of Arrivals

“…Various works have examined the impact of spatial correlation on the performance of communication systems by means of experimentation [30], [31], modeling [32], [33] and theoretical analysis [34]- [40]. Numerous works have characterized the effect of channel correlation in the performance and capacity of the wireless channels by mathematical analysis [34], [35], further focusing on linear receivers [36], [37], [40] using mainly random matrix theory [41], [42], [43].…”

“…Numerous works have characterized the effect of channel correlation in the performance and capacity of the wireless channels by mathematical analysis [34], [35], further focusing on linear receivers [36], [37], [40] using mainly random matrix theory [41], [42], [43]. In [33] and [44]- [48] precoder designs Specifically tailored for correlated channels are derived.…”