TY - JOUR
T1 - Capacity Scaling in a Non-Coherent Wideband Massive SIMO Block Fading Channel
AU - Gomez-Cuba, Felipe
AU - Chowdhury, Mainak
AU - Manolakos, Alexandros
AU - Erkip, Elza
AU - Goldsmith, Andrea J.
N1 - Funding Information:
Manuscript received January 31, 2019; revised June 29, 2019; accepted August 14, 2019. Date of publication September 6, 2019; date of current version December 10, 2019. This project has received funding from the European Union’s Horizon 2020 research and innovation programme under the Marie Skłodowska-Curie grant agreement No 704837, in part by the Office of Naval Research (ONR) under Grant N000141210063, and in part by the NSF Center for Science of Information (CSoI) under Grant CCF-0939370. This article was presented at the IEEE Information Theory Workshop 2015 [1]. The associate editor coordinating the review of this article and approving it for publication was C. Masouros. (Corresponding author: Felipe Gómez-Cuba.) F. Gómez-Cuba is with the Dipartimento D’engegneria della Informazione, University of Padova, 35131 Padua, Italy (e-mail: gomezcuba@dei.unipd.it).
Funding Information:
This project has received funding from the European Union's Horizon 2020 research and innovation programme under the Marie Sklodowska-Curie grant agreement No 704837, in part by the Office of Naval Research (ONR) under Grant N000141210063, and in part by the NSF Center for Science of Information (CSoI) under Grant CCF-0939370. This article was presented at the IEEE Information Theory Workshop 2015 [1]. The associate editor coordinating the review of this article and approving it for publication was C. Masouros.
Publisher Copyright:
© 2002-2012 IEEE.
PY - 2019/12
Y1 - 2019/12
N2 - 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.
AB - 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.
KW - Massive MIMO
KW - energy modulation
KW - non-coherent communications
KW - wideband channel
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U2 - 10.1109/TWC.2019.2938519
DO - 10.1109/TWC.2019.2938519
M3 - Article
AN - SCOPUS:85076669479
SN - 1536-1276
VL - 18
SP - 5691
EP - 5704
JO - IEEE Transactions on Wireless Communications
JF - IEEE Transactions on Wireless Communications
IS - 12
M1 - 8826443
ER -