A minorization-maximization method for optimizing sum rate in the downlink of non-orthogonal multiple access systems

Muhammad Fainan Hanif, Zhiguo Ding, Tharmalingam Ratnarajah, George K. Karagiannidis

Research output: Contribution to journalArticlepeer-review

332 Scopus citations

Abstract

Non-orthogonal multiple access (NOMA) systems have the potential to deliver higher system throughput, compared with contemporary orthogonal multiple access techniques. For a linearly precoded multiple-input single-output (MISO) system, we study the downlink sum rate maximization problem, when the NOMA principle is applied. Being a non-convex and intractable optimization problem, we resort to approximate it with a minorization-maximization algorithm (MMA), which is a widely used tool in statistics. In each step of the MMA, we solve a second-order cone program, such that the feasibility set in each step contains that of the previous one, and is always guaranteed to be a subset of the feasibility set of the original problem. It should be noted that the algorithm takes a few iterations to converge. Furthermore, we study the conditions under which the achievable rates maximization can be further simplified to a low complexity design problem, and we compute the probability of occurrence of this event. Numerical examples are conducted to show a comparison of the proposed approach against conventional multiple access systems.

Original languageBritish English
Article number7277111
Pages (from-to)76-88
Number of pages13
JournalIEEE Transactions on Signal Processing
Volume64
Issue number1
DOIs
StatePublished - 1 Jan 2016

Keywords

  • Complexity
  • connectivity
  • convex optimization
  • latency
  • non-orthogonal multiple access
  • orthogonal multiple access
  • spectral efficiency
  • zero forcing

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