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Closed-Form Sum-MSE Minimization for the Two-User Gaussian MIMO Broadcast Channel
School of Electrical Engineering, KTH, Stockholm.
Linköping University, Department of Electrical Engineering, Communication Systems. Linköping University, The Institute of Technology.
School of Electrical Engineering, KTH, Stockholm.
Linköping University, Department of Electrical Engineering, Communication Systems. Linköping University, The Institute of Technology.ORCID iD: 0000-0002-7599-4367
2011 (English)In: IEEE Communications Letters, ISSN 1089-7798, E-ISSN 1558-2558, Vol. 15, no 9, 950-952 p.Article in journal (Refereed) Published
Abstract [en]

We study the Gaussian multiple-input, multipleoutput broadcast channel, where a base station with 𝑁𝑇 antennas transmits 𝐾 independent messages to 𝐾 users, each having a single receive antenna. The messages consist of independent, identically distributed Gaussian random variables and we study linear transmission with an end-to-end distortion criterion. By using an already established uplink/downlink duality and a recently discovered special relation between beamforming vectors and channel vectors, we present a closed-form expression for the optimal power allocation in the two-user case. We also outline an iterative algorithm that finds the optimal power allocation for an arbitrary number of users.

Place, publisher, year, edition, pages
IEEE , 2011. Vol. 15, no 9, 950-952 p.
National Category
Engineering and Technology
Identifiers
URN: urn:nbn:se:liu:diva-70179DOI: 10.1109/LCOMM.2011.070711.110571ISI: 000294894500016OAI: oai:DiVA.org:liu-70179DiVA: diva2:436486
Funder
Knut and Alice Wallenberg FoundationSwedish Research Council
Available from: 2011-08-23 Created: 2011-08-23 Last updated: 2017-12-08

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Persson, DanielLarsson, Erik G.

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CiteExportLink to record
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Citation style
  • apa
  • harvard1
  • ieee
  • modern-language-association-8th-edition
  • vancouver
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  • Other style
More styles
Language
  • de-DE
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Output format
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