MSE duality for multi-user MIMO relay system

Seunghun Jang, Young Min Cho, Janghoon Yang, Dong Ku Kim

Research output: Contribution to journalArticlepeer-review

3 Citations (Scopus)


This paper shows how uplink (UL)-downlink (DL) mean square error (MSE) duality holds in a single relay aided multi-user multiple-input multiple-output (MU-MIMO) system. Specifically, it is shown that the MSE duality holds for three levels of MSE which are sum-MSE (SMSE), per user MSE, and per stream MSE. For each case of duality level, we consider both total power constraint and separate power constraint. We also provide a conversion method which transforms a given transceiver and scale factor in DL to equivalent ones in UL for each case of duality level and each case of power constraint.

Original languageEnglish
Article number6313572
Pages (from-to)1748-1751
Number of pages4
JournalIEEE Communications Letters
Issue number11
Publication statusPublished - 2012

Bibliographical note

Funding Information:
Manuscript received May 29, 2012. The associate editor coordinating the review of this letter and approving it for publication was W. Hamouda. This research was supported by the MKE (The Ministry of Knowledge Economy), Korea, under the “ITRC (Information Technology Research Center)” support program supervised by the NIPA (National IT Industry Promotion Agency) (NIPA-2012-H0301-12-1008). S. Jang, Y.-M. Cho, and D. K. Kim are with the School of Electrical and Electronic Engineering, Seoul, Yonsei University, Korea (e-mail:, {datem38, dkkim} J. Yang is with the Department of Newmedia, Korean German Institute of Technology, Seoul, Korea (e-mail: Digital Object Identifier 10.1109/LCOMM.2012.091712.121143

All Science Journal Classification (ASJC) codes

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


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