Precoder optimization for nonlinear MIMO transceiver based on arbitrary cost function
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| Titel: | Precoder optimization for nonlinear MIMO transceiver based on arbitrary cost function |
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| Autoren: | Jiang, Yi, Palomar, Daniel P., Varanasi, Mahesh K. |
| Publikationsjahr: | 2007 |
| Bestand: | The Hong Kong University of Science and Technology: HKUST Institutional Repository |
| Schlagwörter: | Generalized triangular decomposition, MIMO transceiver optimization, Majorization theory, Schur-convex |
| Beschreibung: | Assuming full channel state information (CSI) at both transmitter (CSIT) and receiver (CSIR), we consider optimizing a nonlinear MIMO transceiver with decision feedback equalizer (DFE) with respect to some global cost function f 0 . Setting the receiver to be a minimum mean-squared error (MMSE) DFE, the MIMO transceiver optimization problem reduces to optimizing a linear precoder. Based on the generalized triangular decomposition (GTD) and majorization theory, we prove that for any cost function f 0 the optimum precoder is of the same special structure and hence the original complicated matrix optimization problem can be significantly simplified to an optimization problem with scalar-valued variables. Furthermore, if the cost function is specialized to the cases where the composite function f 0 o exp is either Schur-convex or Schur-concave, then the nonlinear transceiver design becomes exceedingly simple. In particular, when f 0 o exp is Schur-convex, the optimum nonlinear transceiver design turns out to be the uniform channel decomposition (UCD) scheme; when f 0 o exp is Schur-concave, the optimum nonlinear design degenerates to linear diagonal transmission. |
| Publikationsart: | conference object |
| Sprache: | English |
| Relation: | https://doi.org/10.1109/CISS.2007.4298284; http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcAuth=LinksAMR&SrcApp=PARTNER_APP&DestLinkType=FullRecord&DestApp=WOS&KeyUT=000252254400022 |
| DOI: | 10.1109/CISS.2007.4298284 |
| Verfügbarkeit: | http://repository.hkust.edu.hk/ir/Record/1783.1-33793 https://doi.org/10.1109/CISS.2007.4298284 http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcAuth=LinksAMR&SrcApp=PARTNER_APP&DestLinkType=FullRecord&DestApp=WOS&KeyUT=000252254400022 http://www.scopus.com/record/display.url?eid=2-s2.0-44049086773&origin=inward |
| Dokumentencode: | edsbas.5F24DC32 |
| Datenbank: | BASE |
Nájsť tento článok vo Web of Science | Abstract: | Assuming full channel state information (CSI) at both transmitter (CSIT) and receiver (CSIR), we consider optimizing a nonlinear MIMO transceiver with decision feedback equalizer (DFE) with respect to some global cost function f 0 . Setting the receiver to be a minimum mean-squared error (MMSE) DFE, the MIMO transceiver optimization problem reduces to optimizing a linear precoder. Based on the generalized triangular decomposition (GTD) and majorization theory, we prove that for any cost function f 0 the optimum precoder is of the same special structure and hence the original complicated matrix optimization problem can be significantly simplified to an optimization problem with scalar-valued variables. Furthermore, if the cost function is specialized to the cases where the composite function f 0 o exp is either Schur-convex or Schur-concave, then the nonlinear transceiver design becomes exceedingly simple. In particular, when f 0 o exp is Schur-convex, the optimum nonlinear transceiver design turns out to be the uniform channel decomposition (UCD) scheme; when f 0 o exp is Schur-concave, the optimum nonlinear design degenerates to linear diagonal transmission. |
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| DOI: | 10.1109/CISS.2007.4298284 |