Equivalent Expressions and Performance Analysis of SLNR Precoding Schemes: A Generalisation to Multi-Antenna Receivers

Abstract

Abstract-In this letter, equivalent expressions of transmit precoding solutions based on the maximum signal-to-leakageplus-noise ratio (SLNR) are derived for multiuser MIMO systems with multi-antenna receivers. The performance of the SLNR precoding scheme is also analysed based on this equivalent form. Further, it is shown that the SLNR scheme can be viewed as a generalised channel regularisation technique and the conditions for an equivalence between the SLNR, the Regularised Block Diagonalisation (RBD) and the Generalised MMSE Channel Inversion (GMI method 2) schemes are given. Consequently, the performance analysis in this letter can be extended to the RBD and GMI schemes. This generalises the equivalence between the SLNR and MMSE schemes and its useful implications, from the case of single-antenna to multi-antenna receivers.

Performance evaluation and enhancement of massive MIMO communication systems

“…Specifically, in conventional MU-MIMO systems with single-antenna users, the closed-form solution of the SLNR-PS has been expressed by an eigenvector associated to the maximum eigenvalue in [18], and a regularized channel inverse shifted by random phase-shifts in [93]. For multiple-antenna users, it has been given by a generalized form of the regularized channel inversion, in which the regularization factors for each user are inversely proportional to their average signal-to-noise ratios per data streams [94]. For massive MIMO systems, by employing the Mullen's inequality, a lower bound on the achievable SLNR has been analyzed in Ricean fading channels [95].…”

“…We also analyze the asymptotic analysis of the achievable rates at very high SNR region. In particular, the achievable rate of the kth user is defined as [18,94]…”

“…where λ max (C k ) and λ max (D k ) are the corresponding maximum eigenvalues of C k and D k , respectively. According to [94], λ max (C k ) can be obtained by solving the following characteristic…”