Distributed Bi-Directional Training of Nonlinear Precoders and Receivers in Cellular Networks

Joint optimization of nonlinear precoders and receive filters is studied for both the uplink and downlink in a cellular system. For the uplink, the base transceiver station (BTS) receiver implements successive interference cancellation, and for the downlink, the BTS station pre-compensates for the i...

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Published in:IEEE transactions on signal processing Vol. 63; no. 21; pp. 5597 - 5608
Main Authors: Mingguang Xu, Dongning Guo, Honig, Michael L.
Format: Journal Article
Language:English
Published: New York IEEE 01.11.2015
The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subjects:
Bi-directional training
Channel estimation
Channels
Criteria
distributed optimization
Downlink
Interference
interference cancellation
interference pre-compensation
Mean square errors
non-linear precoder
non-linear receive filter
Nonlinearity
Optimization
Pilot training
Receivers
Stations
THP
Training
Uplink
ISSN:1053-587X, 1941-0476
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Abstract Joint optimization of nonlinear precoders and receive filters is studied for both the uplink and downlink in a cellular system. For the uplink, the base transceiver station (BTS) receiver implements successive interference cancellation, and for the downlink, the BTS station pre-compensates for the interference with Tomlinson-Harashima precoding (THP). Convergence of alternating optimization of receivers and transmitters in a single cell is established when filters are updated according to a minimum mean squared error (MMSE) criterion, subject to appropriate power constraints. Adaptive algorithms are then introduced for updating the precoders and receivers in a distributed manner without channel state information, assuming time-division duplex transmissions with channel reciprocity. Instead of estimating the channels, the filters are directly estimated according to a least squares criterion via bi-directional training: Uplink pilots are used to update the feedforward and feedback filters, which are then used as interference pre-compensation filters for downlink training of the mobile receivers. Numerical results show that nonlinear filters can provide substantial gains relative to linear filters with limited forward-backward iterations.
AbstractList Joint optimization of nonlinear precoders and receive filters is studied for both the uplink and downlink in a cellular system. For the uplink, the base transceiver station (BTS) receiver implements successive interference cancellation, and for the downlink, the BTS station pre-compensates for the interference with Tomlinson-Harashima precoding (THP). Convergence of alternating optimization of receivers and transmitters in a single cell is established when filters are updated according to a minimum mean squared error (MMSE) criterion, subject to appropriate power constraints. Adaptive algorithms are then introduced for updating the precoders and receivers in a distributed manner without channel state information, assuming time-division duplex transmissions with channel reciprocity. Instead of estimating the channels, the filters are directly estimated according to a least squares criterion via bi-directional training: Uplink pilots are used to update the feedforward and feedback filters, which are then used as interference pre-compensation filters for downlink training of the mobile receivers. Numerical results show that nonlinear filters can provide substantial gains relative to linear filters with limited forward-backward iterations.
Author Dongning Guo
Mingguang Xu
Honig, Michael L.
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Cites_doi 10.1109/VETECS.2005.1543424
10.1109/TSP.2013.2260331
10.1109/TSP.2008.2008253
10.1109/TWC.2010.02.090641
10.1109/TSP.2013.2247597
10.1109/TSP.2013.2293122
10.1109/TSP.2003.819988
10.1109/TCOMM.2006.873095
10.1109/TWC.2004.830852
10.1109/TCOMM.2011.070511.100313
10.1109/ACSSC.2006.354768
10.1109/TWC.2011.060711.101155
10.1109/TIT.2006.880064
10.1109/TIT.2011.2142270
10.1109/JSAC.2008.081002
10.1109/T-WC.2008.070303
10.1109/TSP.2008.925971
10.1109/ICC.2008.632
10.1109/VETECF.2009.5379013
10.1109/TSP.2007.899283
10.1109/TSP.2007.896292
10.1109/ICASSP.2011.5947104
10.1109/JSAC.2010.101202
10.1109/TWC.2004.837449
10.1109/TWC.2003.821173
10.1109/TSP.2013.2278815
10.1109/TIT.2008.926344
10.1109/TIT.1983.1056659
10.1017/CBO9780511807213
10.1109/TWC.2003.814347
10.1109/TIT.2004.833336
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References ref13
ref12
ref15
ref14
ref31
ref30
(ref24) 2011
ref11
ref32
ref10
ref2
ref1
ref17
ref16
ref19
ref18
ref23
ref26
ref25
ref20
horn (ref33) 1995
ref22
ref21
ref28
ref27
ref29
ref8
ref7
ref9
ref4
ref3
ref6
ref5
References_xml – ident: ref6
  doi: 10.1109/VETECS.2005.1543424
– ident: ref14
  doi: 10.1109/TSP.2013.2260331
– ident: ref8
  doi: 10.1109/TSP.2008.2008253
– ident: ref22
  doi: 10.1109/TWC.2010.02.090641
– ident: ref2
  doi: 10.1109/TSP.2013.2247597
– ident: ref9
  doi: 10.1109/TSP.2013.2293122
– ident: ref5
  doi: 10.1109/TSP.2003.819988
– ident: ref13
  doi: 10.1109/TCOMM.2006.873095
– ident: ref28
  doi: 10.1109/TWC.2004.830852
– ident: ref31
  doi: 10.1109/TCOMM.2011.070511.100313
– ident: ref17
  doi: 10.1109/ACSSC.2006.354768
– ident: ref23
  doi: 10.1109/TWC.2011.060711.101155
– ident: ref26
  doi: 10.1109/TIT.2006.880064
– ident: ref27
  doi: 10.1109/TIT.2011.2142270
– ident: ref15
  doi: 10.1109/JSAC.2008.081002
– ident: ref20
  doi: 10.1109/T-WC.2008.070303
– ident: ref19
  doi: 10.1109/TSP.2008.925971
– ident: ref18
  doi: 10.1109/ICC.2008.632
– ident: ref21
  doi: 10.1109/VETECF.2009.5379013
– ident: ref7
  doi: 10.1109/TSP.2007.899283
– ident: ref1
  doi: 10.1109/TSP.2007.896292
– ident: ref30
  doi: 10.1109/ICASSP.2011.5947104
– year: 2011
  ident: ref24
  publication-title: ?C-RAN The road towards green RAN ?
– ident: ref16
  doi: 10.1109/JSAC.2010.101202
– ident: ref4
  doi: 10.1109/TWC.2004.837449
– ident: ref29
  doi: 10.1109/TWC.2003.821173
– ident: ref12
  doi: 10.1109/TSP.2013.2278815
– ident: ref32
  doi: 10.1109/TIT.2008.926344
– year: 1995
  ident: ref33
  publication-title: Matrix Analysis
– ident: ref25
  doi: 10.1109/TIT.1983.1056659
– ident: ref10
  doi: 10.1017/CBO9780511807213
– ident: ref3
  doi: 10.1109/TWC.2003.814347
– ident: ref11
  doi: 10.1109/TIT.2004.833336
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SubjectTerms Bi-directional training
Channel estimation
Channels
Criteria
distributed optimization
Downlink
Interference
interference cancellation
interference pre-compensation
Mean square errors
non-linear precoder
non-linear receive filter
Nonlinearity
Optimization
Pilot training
Receivers
Stations
THP
Training
Uplink
Title Distributed Bi-Directional Training of Nonlinear Precoders and Receivers in Cellular Networks
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https://www.proquest.com/docview/1728237716
https://www.proquest.com/docview/1762072544
Volume 63
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