A unified energy efficiency and spectral efficiency tradeoff metric in wireless networks

L. Deng, Y. Rui, P. Cheng, Jun Zhang, Q.T. Zhang, M. Li

Research output: Journal article publicationJournal articleAcademic researchpeer-review

86 Citations (Scopus)


In this letter, we propose a unified metric for energy efficiency (EE) and spectral efficiency (SE) tradeoff design in wireless networks. Different from previous EE-based or SE-based design, we simultaneously optimize both EE and SE. First, we formulate our design problem as a multi-object optimization (MOO) problem, in which the Pareto optimal set is characterized. After normalizing EE and SE to make them comparable, we then convert the MOO problem into a single-object optimization (SOO) problem by the weighted product scalarization method. We further show that the objective function of this SOO problem, i.e., our proposed EE and SE tradeoff (EST) metric, is quasi-concave with the transmit power and a unique globally optimal solution is derived. Numerical results validate the effectiveness of the proposed unified EST metric. © 1997-2012 IEEE.
Original languageEnglish
Article number6365872
Pages (from-to)55-58
Number of pages4
JournalIEEE Communications Letters
Issue number1
Publication statusPublished - 1 Jan 2013
Externally publishedYes


  • EE and SE tradeoff (EST)
  • Energy efficiency (EE)
  • multi-object optimization (MOO)
  • spectral efficiency (SE)

ASJC Scopus subject areas

  • Modelling and Simulation
  • Computer Science Applications
  • Electrical and Electronic Engineering

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