Capacity Scaling in a Non-Coherent Wideband Massive SIMO Block Fading Channel

The scaling of coherent and non-coherent channel capacity is studied in a single-input multiple-output (SIMO) block Rayleigh fading channel as both the bandwidth and the number of receiver antennas go to infinity jointly with the transmit power fixed. The transmitter has no channel state information...

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Published inIEEE transactions on wireless communications Vol. 18; no. 12; pp. 5691 - 5704
Main Authors Gomez-Cuba, Felipe, Chowdhury, Mainak, Manolakos, Alexandros, Erkip, Elza, Goldsmith, Andrea J.
Format Journal Article
LanguageEnglish
Published New York IEEE 01.12.2019
The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subjects
Antennas
Bandwidths
Broadband
Channel capacity
Coherence
energy modulation
Fading
Fading channels
Massive MIMO
non-coherent communications
Receiving antennas
Scaling
Transmitting antennas
Wideband
wideband channel
Wideband communications
Online AccessGet full text
ISSN1536-1276
1558-2248
DOI10.1109/TWC.2019.2938519

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Abstract The scaling of coherent and non-coherent channel capacity is studied in a single-input multiple-output (SIMO) block Rayleigh fading channel as both the bandwidth and the number of receiver antennas go to infinity jointly with the transmit power fixed. The transmitter has no channel state information (CSI), while the receiver may have genie-provided CSI (coherent receiver), or the channel statistics only (non-coherent receiver). Our results show that if the available bandwidth is smaller than a threshold bandwidth which is proportional (up to leading order terms) to the square root of the number of antennas, there is no gap between the coherent capacity and the non-coherent capacity in terms of capacity scaling behavior. On the other hand, when the bandwidth is larger than this threshold, there is a capacity scaling gap. Since achievable rates using pilot symbols for channel estimation are subject to the non-coherent capacity bound, this work reveals that pilot-assisted coherent receivers in systems with a large number of receive antennas are unable to exploit excess spectrum above a given threshold for capacity gain.
AbstractList The scaling of coherent and non-coherent channel capacity is studied in a single-input multiple-output (SIMO) block Rayleigh fading channel as both the bandwidth and the number of receiver antennas go to infinity jointly with the transmit power fixed. The transmitter has no channel state information (CSI), while the receiver may have genie-provided CSI (coherent receiver), or the channel statistics only (non-coherent receiver). Our results show that if the available bandwidth is smaller than a threshold bandwidth which is proportional (up to leading order terms) to the square root of the number of antennas, there is no gap between the coherent capacity and the non-coherent capacity in terms of capacity scaling behavior. On the other hand, when the bandwidth is larger than this threshold, there is a capacity scaling gap. Since achievable rates using pilot symbols for channel estimation are subject to the non-coherent capacity bound, this work reveals that pilot-assisted coherent receivers in systems with a large number of receive antennas are unable to exploit excess spectrum above a given threshold for capacity gain.
Author Manolakos, Alexandros
Goldsmith, Andrea J.
Gomez-Cuba, Felipe
Chowdhury, Mainak
Erkip, Elza
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Cites_doi 10.1109/TIT.2006.890777
10.1109/T-WC.2008.070873
10.1109/18.746779
10.1109/ICC.2006.255736
10.1109/ITW.2015.7133138
10.1109/TWC.2016.2617860
10.1109/TIT.2004.834745
10.1109/ISIT.2000.866662
10.1109/TWC.2011.111611.110263
10.1109/JSAC.2005.853803
10.1109/TCOMM.2017.2693279
10.1109/GLOCOM.2014.7037381
10.1109/JSTSP.2007.906666
10.1109/TWC.2017.2768423
10.1109/TWC.2015.2488634
10.1109/TWC.2016.2608883
10.1109/MCOM.2012.6353703
10.1109/JSAC.2017.2698859
10.1109/18.992769
10.1109/18.850678
10.1109/ACSSC.2006.354768
10.1109/TIT.2002.1003824
10.1109/MCOM.2016.7402270
10.1109/TIT.2009.2012995
10.1145/1008328.1008329
10.1109/TIT.2007.896869
10.1561/0100000001
10.1109/CISS.2014.6814078
10.1017/CBO9780511841224
10.1109/JCN.2013.000064
10.1109/TCOMM.2010.083110.090696
10.1002/0471200611
10.1109/TIT.2016.2527679
10.1109/ISIT.2016.7541626
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References ref35
tulino (ref20) 2004; 1
(ref34) 2019
ref12
ref15
ref36
ref14
ref31
ref30
ref33
ref11
ref32
ref10
ref2
luo (ref13) 2005; 23
ref1
ref17
ref16
ref19
ref18
ref24
ref23
ref26
ref22
ref21
ref28
ref27
ref29
ref8
ref7
zheng (ref25) 2001
ref9
ref4
ref3
ref6
ref5
References_xml – ident: ref14
  doi: 10.1109/TIT.2006.890777
– ident: ref6
  doi: 10.1109/T-WC.2008.070873
– ident: ref3
  doi: 10.1109/18.746779
– ident: ref5
  doi: 10.1109/ICC.2006.255736
– ident: ref1
  doi: 10.1109/ITW.2015.7133138
– ident: ref18
  doi: 10.1109/TWC.2016.2617860
– ident: ref4
  doi: 10.1109/TIT.2004.834745
– ident: ref26
  doi: 10.1109/ISIT.2000.866662
– ident: ref16
  doi: 10.1109/TWC.2011.111611.110263
– volume: 23
  start-page: 1830
  year: 2005
  ident: ref13
  article-title: On approaching wideband capacity using multitone FSK
  publication-title: IEEE J Sel Areas Commun
  doi: 10.1109/JSAC.2005.853803
– ident: ref17
  doi: 10.1109/TCOMM.2017.2693279
– ident: ref28
  doi: 10.1109/GLOCOM.2014.7037381
– ident: ref35
  doi: 10.1109/JSTSP.2007.906666
– start-page: 835
  year: 2001
  ident: ref25
  article-title: Optimal diversity-multiplexing trade-off in multi-antenna channels
  publication-title: Proc 39th Allerton Conf Commun Control Comput
– year: 2019
  ident: ref34
  publication-title: 3rd Generation Partnership Project Technical Specification Group Radio Access Network NR NR and NG-RAN Overall Description Stage 2 (Release 15)
– ident: ref27
  doi: 10.1109/TWC.2017.2768423
– ident: ref23
  doi: 10.1109/TWC.2015.2488634
– ident: ref30
  doi: 10.1109/TWC.2016.2608883
– ident: ref33
  doi: 10.1109/MCOM.2012.6353703
– ident: ref19
  doi: 10.1109/JSAC.2017.2698859
– ident: ref11
  doi: 10.1109/18.992769
– ident: ref10
  doi: 10.1109/18.850678
– ident: ref21
  doi: 10.1109/ACSSC.2006.354768
– ident: ref12
  doi: 10.1109/TIT.2002.1003824
– ident: ref24
  doi: 10.1109/MCOM.2016.7402270
– ident: ref7
  doi: 10.1109/TIT.2009.2012995
– ident: ref32
  doi: 10.1145/1008328.1008329
– ident: ref15
  doi: 10.1109/TIT.2007.896869
– volume: 1
  year: 2004
  ident: ref20
  article-title: Random matrix theory and wireless communications
  publication-title: Foundations and Trends in Communications and Information Theory
  doi: 10.1561/0100000001
– ident: ref29
  doi: 10.1109/CISS.2014.6814078
– ident: ref2
  doi: 10.1017/CBO9780511841224
– ident: ref22
  doi: 10.1109/JCN.2013.000064
– ident: ref8
  doi: 10.1109/TCOMM.2010.083110.090696
– ident: ref36
  doi: 10.1002/0471200611
– ident: ref31
  doi: 10.1109/TIT.2016.2527679
– ident: ref9
  doi: 10.1109/ISIT.2016.7541626
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Snippet The scaling of coherent and non-coherent channel capacity is studied in a single-input multiple-output (SIMO) block Rayleigh fading channel as both the...
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SubjectTerms Antennas
Bandwidths
Broadband
Channel capacity
Coherence
energy modulation
Fading
Fading channels
Massive MIMO
non-coherent communications
Receiving antennas
Scaling
Transmitting antennas
Wideband
wideband channel
Wideband communications
Title Capacity Scaling in a Non-Coherent Wideband Massive SIMO Block Fading Channel
URI https://ieeexplore.ieee.org/document/8826443
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Volume 18
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