Generalized Precoder Designs Based on Weighted MMSE Criterion for Energy Harvesting Constrained MIMO and Multi-User MIMO Channels

Changick Song, Jaehyun Park, Bruno Clerckx, Inkyu Lee, Kyoung Jae Lee

Research output: Contribution to journalArticlepeer-review

33 Citations (Scopus)


This paper studies precoder designs for simultaneous wireless information and power transfer (SWIPT) in multi-input multi-output (MIMO) channels, where a transmitter sends information to information decoding (ID) users while satisfying the minimum energy requirement of energy harvesting users. In contrast to the previous designs focused only on maximum information rate (MIR), we propose a more general and simpler solution using the weighted minimum mean squared error (WMMSE) criterion. To solve the SWIPT-WMMSE problem which is generally non-convex, we suggest two different design schemes, separate and joint designs. Interestingly, it is shown that the joint design achieves optimal performance with a single initial point and a few iterations, while the separate design needs a large number of iterations and initial points to approach the optimum. Based on the observation, we propose a simple closed-form solution, which is shown to achieve near optimal performance with reduced complexity. The derived solution can be adopted in various pragmatic applications of MIMO communications, such as the MMSE, quality-of-service, equal error designs, as well as the MIR by adjusting the weight matrix. We also confirm that our design strategies are a great use for managing co-channel interference in multiple ID-user scenarios. Finally, simulation results demonstrate the efficiency of the proposed MIMO-SWIPT framework.

Original languageEnglish
Article number7568981
Pages (from-to)7941-7954
Number of pages14
JournalIEEE Transactions on Wireless Communications
Issue number12
Publication statusPublished - 2016 Dec

Bibliographical note

Funding Information:
This work was supported in part by the National Research Foundation (NRF) Funded by the Ministry of Science, ICT and Future Planning, Korean Government, under Grant NRF-2015R1C1A1A02036927 and Grant 2014R1A2A1A10049769 and in part by the Infrastructure and Transportation Technology Promotion Research Program Funded by the Ministry of Land Infrastructure and Transport, Korean Government, under Grant 16CTAP-C098206-02. The work of K.-J. Lee was supported by the Basic Science Research Program through the NRF Funded by MSIP, Korean Government, under Grant NRF-2016R1C1B2011921.

Publisher Copyright:
© 2016 IEEE.


  • Closed-form solution
  • MIMO
  • Multi-user

ASJC Scopus subject areas

  • Computer Science Applications
  • Electrical and Electronic Engineering
  • Applied Mathematics


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