Analysis of One-Bit Quantized Precoding for the Multiuser Massive MIMO Downlink

A Kant Saxena (1) , Inbar Fijalkow (2) , A Lee Swindlehurst (1)

1 Center for Pervasive Communications and Computing
2 ETIS - UMR 8051 - Equipes Traitement de l'Information et Systèmes

—We present a mathematical analysis of linear pre-coders for downlink massive MIMO multiuser systems that employ one-bit digital-to-analog converters at the basestation in order to reduce complexity and mitigate power usage. The analysis is based on the Bussgang theorem, and applies generally to any linear pre-coding scheme. We examine, in detail, the special case of the quan-tized zero-forcing (ZF) precoder, and derive a simple asymptotic expression for the resulting symbol error rate at each terminal. Our analysis illustrates that the performance of the quantized ZF pre-coder depends primarily on the ratio of the number of antennas to the number of users, and our simulations show that it achieves performance similar to a more complicated nonlinear least-squares encoder for low-to-moderate signal to noise ratios, where massive MIMO systems are presumed to operate. We also use the Bussgang theorem to derive a new linear precoder optimized for the case of one-bit quantization, and illustrate its improved performance.

Mots clés: Multiuser massive MIMO; Bussgang decomposi- tion; Zero forcing precoding; quantized modulation

Domaines: Traitement du signal et de l'image [eess.SP]; Réseaux et télécommunications [cs.NI]; Théorie de l'information [cs.IT]

A Kant Saxena, Inbar Fijalkow, A Lee Swindlehurst. Analysis of One-Bit Quantized Precoding for the Multiuser Massive MIMO Downlink. IEEE Transactions on Signal Processing, 2017, 65 (17), pp.4624-4636. ⟨10.1109/TSP.2017.2715006⟩. ⟨hal-01558617⟩