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On the General Analysis of Coordinated Regularized Zero-Forcing Precoding: An Application to Two-Tier Small-Cell Networks

Tataria, Harsh LU ; Smith, Peter J and Dmochowski, Pawel A (2017) In IEEE Transactions on Communications 65(7). p.3133-3150
Abstract
General analysis of expected per-terminal signalto-interference-plus-noise-ratio (SINR) and ergodic per-cell sum spectral efficiency for a multi-cellular system with coordinated regularized zero-forcing (RZF) precoding is presented.
An application to two-tier small-cell networks is considered, assuming independent and identically distributed (i.i.d.) and semi-correlated Rayleigh fading channels, with spatial correlation at the base station. Our analysis caters for equal and unequal correlation matrices for each terminal. For the i.i.d. case and when each terminal is assigned an equal correlation matrix, our expressions are averaged over the eigenvalue densities of the channel correlation matrices, which follow an uncorrelated and... (More)
General analysis of expected per-terminal signalto-interference-plus-noise-ratio (SINR) and ergodic per-cell sum spectral efficiency for a multi-cellular system with coordinated regularized zero-forcing (RZF) precoding is presented.
An application to two-tier small-cell networks is considered, assuming independent and identically distributed (i.i.d.) and semi-correlated Rayleigh fading channels, with spatial correlation at the base station. Our analysis caters for equal and unequal correlation matrices for each terminal. For the i.i.d. case and when each terminal is assigned an equal correlation matrix, our expressions are averaged over the eigenvalue densities of the channel correlation matrices, which follow an uncorrelated and correlated complex central Wishart distribution. With unequal correlation matrices, we exploit the high signal-to-noise ratio (SNR) convergence of RZF precoding to zero-forcing (ZF) precoding and use a second-order Neumann series expansion to derive closed-form approximations to the expected RZF SINR and ergodic sum spectral efficiency, via the expected ZF SNR and ergodic sum spectral efficiency. Our numerical results show the adverse effects of intercellular interference, along with the
improvements in the above-mentioned performance metrics with network-wide coordination over cell-wide and macro-only coordination strategies. The derived expressions are robust to changes in system dimensions, operating SNRs, and correlation levels. (Less)
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author
; and
publishing date
type
Contribution to journal
publication status
published
subject
keywords
SINR, Spectral efficiency, BS coordination, RZF precoding, Two-tier small-cell networks, Complex Wishart matrices
in
IEEE Transactions on Communications
volume
65
issue
7
article number
7903633
pages
18 pages
publisher
IEEE - Institute of Electrical and Electronics Engineers Inc.
external identifiers
  • scopus:85028986363
ISSN
0096-1965
DOI
10.1109/TCOMM.2017.2695199
language
English
LU publication?
no
id
fe92be32-6213-4534-8ac9-0844947043d4
date added to LUP
2018-11-28 13:31:32
date last changed
2022-04-25 19:29:37
@article{fe92be32-6213-4534-8ac9-0844947043d4,
  abstract     = {{General analysis of expected per-terminal signalto-interference-plus-noise-ratio (SINR) and ergodic per-cell sum spectral efficiency for a multi-cellular system with coordinated regularized zero-forcing (RZF) precoding is presented.<br/>An application to two-tier small-cell networks is considered, assuming independent and identically distributed (i.i.d.) and semi-correlated Rayleigh fading channels, with spatial correlation at the base station. Our analysis caters for equal and unequal correlation matrices for each terminal. For the i.i.d. case and when each terminal is assigned an equal correlation matrix, our expressions are averaged over the eigenvalue densities of the channel correlation matrices, which follow an uncorrelated and correlated complex central Wishart distribution. With unequal correlation matrices, we exploit the high signal-to-noise ratio (SNR) convergence of RZF precoding to zero-forcing (ZF) precoding and use a second-order Neumann series expansion to derive closed-form approximations to the expected RZF SINR and ergodic sum spectral efficiency, via the expected ZF SNR and ergodic sum spectral efficiency. Our numerical results show the adverse effects of intercellular interference, along with the<br/>improvements in the above-mentioned performance metrics with network-wide coordination over cell-wide and macro-only coordination strategies. The derived expressions are robust to changes in system dimensions, operating SNRs, and correlation levels.}},
  author       = {{Tataria, Harsh and Smith, Peter J and Dmochowski, Pawel A}},
  issn         = {{0096-1965}},
  keywords     = {{SINR; Spectral efficiency; BS coordination; RZF precoding; Two-tier small-cell networks; Complex Wishart matrices}},
  language     = {{eng}},
  month        = {{07}},
  number       = {{7}},
  pages        = {{3133--3150}},
  publisher    = {{IEEE - Institute of Electrical and Electronics Engineers Inc.}},
  series       = {{IEEE Transactions on Communications}},
  title        = {{On the General Analysis of Coordinated Regularized Zero-Forcing Precoding: An Application to Two-Tier Small-Cell Networks}},
  url          = {{http://dx.doi.org/10.1109/TCOMM.2017.2695199}},
  doi          = {{10.1109/TCOMM.2017.2695199}},
  volume       = {{65}},
  year         = {{2017}},
}