Pilot Signal Design for Massive MIMO Systems: A Received Signal-To-Noise-Ratio-Based Approach

TL;DR

This paper proposes a novel pilot signal design method for massive MIMO systems that maximizes received SNR, using different optimization approaches for two channel models, leading to improved performance over existing methods.

Contribution

It introduces a new pilot design framework tailored for massive MIMO, providing semi-definite programming solutions and closed-form expressions for different channel models.

Findings

Significantly improves received SNR compared to existing methods.

Provides a semi-definite programming approach for Gauss-Markov channels.

Derives a closed-form optimal solution for i.i.d. channels.

Abstract

In this paper, the pilot signal design for massive MIMO systems to maximize the training-based received signal-to-noise ratio (SNR) is considered under two channel models: block Gauss-Markov and block independent and identically distributed (i.i.d.) channel models. First, it is shown that under the block Gauss-Markov channel model, the optimal pilot design problem reduces to a semi-definite programming (SDP) problem, which can be solved numerically by a standard convex optimization tool. Second, under the block i.i.d. channel model, an optimal solution is obtained in closed form. Numerical results show that the proposed method yields noticeably better performance than other existing pilot design methods in terms of received SNR.