Codebook Design and Performance Analysis of Quantized Beamforming under Perfect and Imperfect Channel State Information

  • Samuel Tumelero Valduga GTEL-UFC
  • André L. F. de Almeida GTEL-UFC
  • Renato Machado UFSM
  • Andrei P. Legg UFSM
  • Murilo B. Loiola UFABC
  • Dimas Alves Unipampa
Keywords: MIMO, beamforming, quantized feedback, BER, channel estimation

Abstract

This paper presents a codebook design to multiple transmit and multiple receive antenna system with quantized feedback channel. The codebook design is based on trigonometrical expressions that give a quasi-orthogonal structure to the codes. The codebook is designed to a specific number of transmit antennas and can easily be adapted to different number of feedback bits. An instantaneous signal-
to-noise ratio analysis is performed which is used to optimize the codebooks. An upper bound on the bit error rate (BER) performance for the proposed scheme is provided as well. We also investigate the system performance under more realistic
conditions, and for this purpose we consider a time-varying and spatially-correlated channel model. We compare the BER performance of the proposed scheme with other closed-loop codebook-based schemes. Results show that the proposed scheme
outperforms other good schemes in terms of array gain.

Author Biographies

Samuel Tumelero Valduga, GTEL-UFC
Samuel Tumelero Valduga received the B.S.E.E.
and M.Sc. degrees in electrical engineering and
computer science from Federal University of Santa
Maria (UFSM), Santa Maria, RS, Brazil, in 2012
and 2014, respectively.
He is currently pursuing his Ph.D. degree at
Federal University of Ceará (UFC). He is member
of Wireless Telecommunications Research Group
(GTEL), Fortaleza, Brazil. From 2016 to 2017,
he held a one-year research position at the I3S
Laboratory, CNRS, France. His research interests
are massive MIMO, matrix and tensor completion, pilot contamination,
beamforming, precoding, and channel estimation.
André L. F. de Almeida, GTEL-UFC
André L. F. de Almeida received the double Ph.D.
degree in Sciences and Teleinformatics Engineering
from the University of Nice, Sophia Antipolis,
France, and the Federal University of Ceará,
Fortaleza, Brazil, in 2007.
He is currently an Assistant Professor with the
Department of Teleinformatics Engineering of the
Federal University of Ceará. During fall 2002, he
was a visiting researcher at Ericsson Research Labs,
Stockholm, Sweden. From 2007 to 2008, he held
a one-year research position at the I3S Laboratory,
CNRS, France. In 2008, he was awarded a CAPES/COFECUB research
fellowship with the I3S Laboratory, CNRS, France. He currently holds a
productivity research fellowship from CNPq (the Brazilian National Council
for Scientific and Technological Development). In 2012, 2013 and 2015,
he was a Visiting Professor at the University of Nice Sophia Antipolis,
France. He served as an Associate Editor of the IEEE Transactions on
Signal Processing (2012-1016). He is currently an Associate Editor of
the IEEE Signal Processing Letters and serves as a general co-chair of
IEEE CAMSAP2017. His research interests lie in the areas of signal
processing for communications and sensor array processing, and include blind
methods for channel identification, equalization and source separation, MIMO
receivers, multilinear algebra and tensor-based signal processing applied to
communications and data analysis.
Renato Machado, UFSM
Renato Machado received the B.S. degree in
Electrical Engineering from the São Paulo State
University, Brazil, in 2001, and the M.Sc. degree
and the Ph.D. degree in Electrical Engineering from
the Federal University of Santa Catarina (UFSC),
Brazil, in 2004 and 2008, respectively.
He was a visiting Ph.D. researcher in the
Department of Electrical Engineering, Arizona State
University, from Aug. 2006 to Jun. 2007. He worked
as a researcher at Nokia Institute of Technology, in
2007 and 2008. Between Aug. 2009 and Dec. 2017,
he was a professor in the Department of Electronics and Computing, Federal
University of Santa Maria, Brazil. From Dec. 2011 to Oct. 2013 he was
the director of the Santa Maria Space Science Laboratory. Between Nov.
2013 and Mar. 2015, Dr. Machado spent his sabbatical license as a visiting
researcher fellow at Blekinge Institute of Technology, Karlskrona, Sweden,
working in partnership with the Saab Electronic Defence Systems group. Dr.
Machado is a member of the IEEE Communications Society, IEEE Aerospace
and Electronic Systems Society, and the Brazilian Telecommunications and
Signal Processing Society (SBrT). Since Dec. 2017, Dr. Machado has been an
Associate Professor at the Aeronautics Institute of Technology. His research
interests include SAR image processing, wireless communications, MIMO
systems, power line communications and sensor networks.
Andrei P. Legg, UFSM
Andrei Piccinini Legg received his B.S. degree in
2005, M.S. in 2007, and Ph.D. in 2011 in electrical
engineering from the Federal University of Santa
Catarina - Brazil.
He is currently an Associate Professor at
the Federal University of Santa Maria - Brazil.
His research focus includes image processing,
electronic design, error correction codes, and wireless
communications.
Murilo B. Loiola, UFABC
Murilo Bellezoni Loiola received the titles of
Electrical Engineer (2002), Master in Electrical
Engineering (2005) and Doctor in Electrical
Engineering (2009) from the University of
Campinas (UNICAMP), Brazil.
He is currently an Assistant Professor at Federal
University of ABC (UFABC). His main research
interests lie in the areas of adaptive and statistical
signal processing, wireless communications,
wireless physical-layer security, and machine
learning.
Dimas Alves, Unipampa
Dimas Irion Alves received the B.S.E.E degree from
the Federal University of Santa Maria, Santa Maria,
RS, Brazil, in 2013. He received his M.Sc. degree in
electrical engineering from the Federal University of
Santa Catarina, Florianópolis, SC, Brazil, in 2015.
He is currently a Ph.D. student at UFSC and a
member of the Communications Research Group
(GPqCom/UFSC). Since October 2015 he has
been a Professor in Federal University of Pampa
(Unipampa), Alegrete, RS, Brazil. His research
interests include digital signal processing, MIMO
systems, wireless communications, SAR systems and image processing.
Published
19-12-2017
How to Cite
Valduga, S., de Almeida, A., Machado, R., Legg, A., Loiola, M., & Alves, D. (2017). Codebook Design and Performance Analysis of Quantized Beamforming under Perfect and Imperfect Channel State Information. Journal of Communication and Information Systems, 32(1). https://doi.org/10.14209/jcis.2017.16
Section
Regular Papers