Coding on Flag Manifolds for Limited Feedback MIMO Systems

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dc.contributor Aalto-yliopisto fi
dc.contributor Aalto University en
dc.contributor.advisor Tirkkonen, Olav, Prof., Aalto University, Department of Communications and Networking, Finland
dc.contributor.author Pitaval, Renaud-Alexandre
dc.date.accessioned 2014-01-21T10:00:08Z
dc.date.available 2014-01-21T10:00:08Z
dc.date.issued 2013
dc.identifier.isbn 978-952-60-5492-6 (electronic)
dc.identifier.isbn 978-952-60-5491-9 (printed)
dc.identifier.issn 1799-4942 (electronic)
dc.identifier.issn 1799-4934 (printed)
dc.identifier.issn 1799-4934 (ISSN-L)
dc.identifier.uri https://aaltodoc.aalto.fi/handle/123456789/12109
dc.description.abstract The efficiency of the physical layer in modern communication systems using multi-input multi-output (MIMO) techniques is largely based on the availability of channel state information (CSI) at the transmitter. In many practical systems, CSI needs to be quantized at the receiver side before transmission through a limited rate feedback channel. This is typically done using a codebook-based precoding transmission, where the receiver transmits the index of a codeword from a pre-designed codebook shared with the transmitter. To construct such codes one has to discretize complex flag manifolds. For single-user MIMO with a maximum likelihood receiver, the spaces of interest are Grassmann manifolds. With a linear receiver and network MIMO, the codebook design is related to discretization of Stiefel manifolds and more general flag manifolds. In this thesis, coding in flag manifolds is studied. In a first part, flag manifolds are defined as metric spaces corresponding to subsurfaces of hyperspheres. The choice of distance defines the geometry of the space and impacts clustering and averaging (centroid computation) in vector quantization, as well as coding theoretical packing bounds and optimum constructions. For two transmitter antenna systems, the problem reduces to designing spherical codes. A simple isomorphism enables to analytically derive closed-form codebooks with inherent low-implementation complexity. For more antennas, the concept of orbits of symmetry groups is investigated. Optimum codebooks, having desirable implementation properties as described in industry standardization, can be obtained using orbits of specific groups. For large antenna systems and base station cooperation, a product codebook strategy is also considered. Such a design requires to jointly discretize the Grassmann and Stiefel manifolds. A vector quantization algorithm for joint Grassmann-Stiefel quantization is proposed. Finally, the pertinence of flag codebook design is illustrated for a MIMO system with linear receiver. en
dc.format.extent 161
dc.format.mimetype application/pdf
dc.language.iso en en
dc.publisher Aalto University en
dc.publisher Aalto-yliopisto fi
dc.relation.ispartofseries Aalto University publication series DOCTORAL DISSERTATIONS en
dc.relation.ispartofseries 211/2013
dc.relation.haspart [Publication 1]: R.-A. Pitaval, O. Tirkkonen and S. D. Blostein. Density and Bounds for Grassmannian Codes with Chordal Distance. In Proceedings of the IEEE International Symposium on Information Theory (ISIT), Saint Petersburg, Russia, pp. 2298-2302, Aug. 2011.
dc.relation.haspart [Publication 2]: R.-A. Pitaval and O. Tirkkonen. Volume of Ball and Hamming-type Bounds for Stiefel Manifold with Euclidean Distance. In Proceedings of the 46th Annual Asilomar Conference on Signals, Systems, and Computers (ACSSC), Pacific Grove, California, pp. 483-487, Nov. 2012.
dc.relation.haspart [Publication 3]: R.-A. Pitaval, H.-L. Määttänen, K. Schober, O. Tirkkonen, and R. Wichman. Beamforming Codebooks for Two Transmit Antenna Systems based on Optimum Grassmannian Packings. IEEE Transactions on Information Theory, vol.57, no.10, pp. 6591-6602, Oct. 2011.
dc.relation.haspart [Publication 4]: R.-A. Pitaval, O. Tirkkonen and S. D. Blostein. Low Complexity MIMO Precoding Codebooks from Orthoplex Packings. In Proceedings of the IEEE International Conference on Communications (ICC), Kyoto, Japan, pp. 1-5, June 2011.
dc.relation.haspart [Publication 5]: R.-A. Pitaval and O. Tirkkonen. Grassmannian Packings from Orbits of Projective Group Representations. In Proceedings of the 46th Annual Asilomar Conference on Signals, Systems, and Computers (ACSSC), Pacific Grove, California, pp. 478-482, Nov. 2012.
dc.relation.haspart [Publication 6]: R.-A. Pitaval and O. Tirkkonen. Flag Orbit Codes and Their Expansion to Stiefel Codes. In Proceedings of the IEEE Information Theory Workshop (ITW), Seville, Spain, pp. 360-364, Sep. 2013.
dc.relation.haspart [Publication 7]: R.-A. Pitaval and O. Tirkkonen. Joint Grassmann-Stiefel Quantization for MIMO Product Codebooks. Accepted for publication in IEEE Transactions on Wireless Communications, 13 pp., Oct. 2013.
dc.relation.haspart [Publication 8]: R.-A. Pitaval, A. Srinivasan and O. Tirkkonen. Codebooks in Flag Manifolds for Limited Feedback MIMO Precoding. In Proceedings of the 9th International ITG Conference on Systems, Communications and Coding (SCC), Munich, Germany, pp. 1-5, Jan. 2013.
dc.subject.other Electrical engineering en
dc.subject.other Telecommunications engineering
dc.title Coding on Flag Manifolds for Limited Feedback MIMO Systems en
dc.type G5 Artikkeliväitöskirja fi
dc.contributor.school Sähkötekniikan korkeakoulu fi
dc.contributor.school School of Electrical Engineering en
dc.contributor.department Tietoliikenne- ja tietoverkkotekniikan laitos fi
dc.contributor.department Department of Communications and Networking en
dc.subject.keyword MIMO systems en
dc.subject.keyword quantization en
dc.subject.keyword coding en
dc.subject.keyword flag en
dc.subject.keyword Stiefel en
dc.subject.keyword Grassmann en
dc.subject.keyword manifolds en
dc.identifier.urn URN:ISBN:978-952-60-5492-6
dc.type.dcmitype text en
dc.type.ontasot Doctoral dissertation (article-based) en
dc.type.ontasot Väitöskirja (artikkeli) fi
dc.contributor.supervisor Tirkkonen, Olav, Prof., Aalto University, Department of Communications and Networking, Finland
dc.opn Calderbank, Robert, Prof., Duke University, USA
dc.date.dateaccepted 2013-09-02
dc.rev Love, David J., Prof., Purdue University, USA
dc.rev Lahtonen, Jyrki, Dos., University of Turku, Finland
dc.date.defence 2014-01-31


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