English

Precoder Design and Power Allocation for Downlink MIMO-NOMA via Simultaneous Triangularization

Information Theory 2021-06-08 v2 math.IT

Abstract

In this paper, we consider the downlink precoder design for two-user power-domain multiple-input multiple-output (MIMO) non-orthogonal multiple access (NOMA) systems. The proposed precoding scheme is based on simultaneous triangularization and decomposes the MIMO-NOMA channels of the two users into multiple single-input single-output NOMA channels, assuming low-complexity self-interference cancellation at the users. In contrast to the precoding schemes based on simultaneous diagonalization (SD), the proposed scheme avoids inverting the MIMO channels of the users, thereby enhancing the ergodic rate performance. Furthermore, we develop a power allocation algorithm based on the convex-concave procedure, and exploit it to obtain the ergodic achievable rate region of the proposed MIMO-NOMA scheme. Our results illustrate that the proposed scheme outperforms baseline precoding schemes based on SD and orthogonal multiple access for a wide range of user rates and performs close to the dirty paper coding upper bound. The ergodic rate region can further be improved by utilizing a hybrid scheme based on time sharing between the proposed MIMO-NOMA scheme and point-to-point MIMO.

Keywords

Cite

@article{arxiv.2006.04581,
  title  = {Precoder Design and Power Allocation for Downlink MIMO-NOMA via Simultaneous Triangularization},
  author = {Aravindh Krishnamoorthy and Meng Huang and Robert Schober},
  journal= {arXiv preprint arXiv:2006.04581},
  year   = {2021}
}

Comments

Accepted for presentation at the 2021 IEEE Wireless Communications and Networking Conference. This paper is the conference version of arXiv:2006.06471 with 6pp, 2 figures, for code, see https://gitlab.com/aravindh.krishnamoorthy/mimo-noma

R2 v1 2026-06-23T16:08:43.896Z