On Beamforming with Finite Rate Feedback in Multiple Antenna Systems

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dc.citation.bibtexNamearticleen_US
dc.citation.firstpage2562
dc.citation.issueNumber10en_US
dc.citation.journalTitleIEEE Transactions on Information Theoryen_US
dc.citation.lastpage2579
dc.citation.volumeNumber49en_US
dc.contributor.authorMukkavilli, Krishna Kiranen_US
dc.contributor.authorSabharwal, Ashutoshen_US
dc.contributor.authorErkip, Elzaen_US
dc.contributor.authorAazhang, Behnaamen_US
dc.contributor.orgCenter for Multimedia Communications (http://cmc.rice.edu/)en_US
dc.date.accessioned2007-10-31T00:54:26Z
dc.date.available2007-10-31T00:54:26Z
dc.date.issued2003-10-20
dc.date.modified2003-12-20en_US
dc.date.submitted2002-10-30en_US
dc.descriptionJournal Paperen_US
dc.description.abstractIn this paper, we study a multiple antenna system where the transmitter is equipped with quantized information about instantaneous channel realizations. Assuming that the transmitter uses the quantized information for beamforming, we derive a universal lower bound on the outage probability for any finite set of beamformers. The universal lower bound provides a concise characterization of the gain with each additional bit of feedback information regarding the channel. Using the bound, it is shown that finite information systems approach the perfect information case as (t-1)2<sup>-B/(t-1)</sup>, where <i>B</i> is the number of feedback bits and <i>t</i> is the number of transmit antennas. The geometrical bounding technique, used in the proof of the lower bound, also leads to a design criterion for good beamformers, whose outage performance approaches the lower bound. The design criterion minimizes the maximum inner product between any two beamforming vectors in the beamformer codebook, and is equivalent to the problem of designing unitary space time codes under certain conditions. Finally, we show that good beamformers are good packings of 2-dimensional subspaces in a 2<i>t</i>-dimensional real Grassmannian manifold with chordal distance as the metric.en_US
dc.description.sponsorshipNokiaen_US
dc.identifier.citationK. K. Mukkavilli, A. Sabharwal, E. Erkip and B. Aazhang, "On Beamforming with Finite Rate Feedback in Multiple Antenna Systems," <i>IEEE Transactions on Information Theory,</i> vol. 49, no. 10, 2003.
dc.identifier.doihttp://dx.doi.org/10.1109/TIT.2003.817433en_US
dc.identifier.urihttps://hdl.handle.net/1911/20120
dc.language.isoeng
dc.subjectMultiple antennas*
dc.subjecttransmit diversity*
dc.subjectbeamforming*
dc.subjectfeedback*
dc.subjectoutage probability*
dc.subjectunitary codes*
dc.subject.keywordMultiple antennasen_US
dc.subject.keywordtransmit diversityen_US
dc.subject.keywordbeamformingen_US
dc.subject.keywordfeedbacken_US
dc.subject.keywordoutage probabilityen_US
dc.subject.keywordunitary codesen_US
dc.titleOn Beamforming with Finite Rate Feedback in Multiple Antenna Systemsen_US
dc.typeJournal article
dc.type.dcmiText
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