Benefits of rich scattering in MIMO channels: A graph-theoretical perspective

Oussama Souihli, Tomoaki Ohtsuki

Research output: Contribution to journalArticle

12 Citations (Scopus)

Abstract

In this letter, the impact of scattering on a multiple-input multiple-output (MIMO) propagation environment is studied based on a recently-proposed graph-theoretical channel model. An old result that rich scattering in MIMO propagation environments is a requisite for the channel matrix to have full rank (equivalently for the channel capacity to scale linearly with the number of antennas) is verified. Then, novel insights on the importance of scattering in MIMO channels from a graph-theoretical perspective are provided. By showing that the adjacency matrix of the whole propagation channel has same spectrum (eigenvalues) as the sub-graph inter-connecting the scatterers, it is inferred that all graph-theoretical properties of the propagation graph are contained in the scattering fraction of the channel. In particular, it is inferred that the channel model can be almost-surely reconstructed from the sole knowledge of the spectrum of the sub-graph interconnecting the scatterers. These results may find application in MIMO channel modeling in settings where full colorblack{pilot-based channel estimation} is infeasible or impractical, as in high-mobility scenarios.

Original languageEnglish
Article number6374722
Pages (from-to)23-26
Number of pages4
JournalIEEE Communications Letters
Volume17
Issue number1
DOIs
Publication statusPublished - 2013

Fingerprint

Multiple-input multiple-output (MIMO)
Scattering
Propagation
Channel Model
Graph in graph theory
Subgraph
Channel Modeling
Channel Capacity
Channel capacity
Channel Estimation
Adjacency Matrix
Channel estimation
Theoretical Model
Antenna
Linearly
Antennas
Eigenvalue
Scenarios

Keywords

  • MIMO systems
  • spectral graph theory
  • wireless channel modeling
  • wireless propagation

ASJC Scopus subject areas

  • Electrical and Electronic Engineering
  • Computer Science Applications
  • Modelling and Simulation

Cite this

Benefits of rich scattering in MIMO channels : A graph-theoretical perspective. / Souihli, Oussama; Ohtsuki, Tomoaki.

In: IEEE Communications Letters, Vol. 17, No. 1, 6374722, 2013, p. 23-26.

Research output: Contribution to journalArticle

@article{344047f7d0db486092331de447365b77,
title = "Benefits of rich scattering in MIMO channels: A graph-theoretical perspective",
abstract = "In this letter, the impact of scattering on a multiple-input multiple-output (MIMO) propagation environment is studied based on a recently-proposed graph-theoretical channel model. An old result that rich scattering in MIMO propagation environments is a requisite for the channel matrix to have full rank (equivalently for the channel capacity to scale linearly with the number of antennas) is verified. Then, novel insights on the importance of scattering in MIMO channels from a graph-theoretical perspective are provided. By showing that the adjacency matrix of the whole propagation channel has same spectrum (eigenvalues) as the sub-graph inter-connecting the scatterers, it is inferred that all graph-theoretical properties of the propagation graph are contained in the scattering fraction of the channel. In particular, it is inferred that the channel model can be almost-surely reconstructed from the sole knowledge of the spectrum of the sub-graph interconnecting the scatterers. These results may find application in MIMO channel modeling in settings where full colorblack{pilot-based channel estimation} is infeasible or impractical, as in high-mobility scenarios.",
keywords = "MIMO systems, spectral graph theory, wireless channel modeling, wireless propagation",
author = "Oussama Souihli and Tomoaki Ohtsuki",
year = "2013",
doi = "10.1109/LCOMM.2012.120312.121184",
language = "English",
volume = "17",
pages = "23--26",
journal = "IEEE Communications Letters",
issn = "1089-7798",
publisher = "Institute of Electrical and Electronics Engineers Inc.",
number = "1",

}

TY - JOUR

T1 - Benefits of rich scattering in MIMO channels

T2 - A graph-theoretical perspective

AU - Souihli, Oussama

AU - Ohtsuki, Tomoaki

PY - 2013

Y1 - 2013

N2 - In this letter, the impact of scattering on a multiple-input multiple-output (MIMO) propagation environment is studied based on a recently-proposed graph-theoretical channel model. An old result that rich scattering in MIMO propagation environments is a requisite for the channel matrix to have full rank (equivalently for the channel capacity to scale linearly with the number of antennas) is verified. Then, novel insights on the importance of scattering in MIMO channels from a graph-theoretical perspective are provided. By showing that the adjacency matrix of the whole propagation channel has same spectrum (eigenvalues) as the sub-graph inter-connecting the scatterers, it is inferred that all graph-theoretical properties of the propagation graph are contained in the scattering fraction of the channel. In particular, it is inferred that the channel model can be almost-surely reconstructed from the sole knowledge of the spectrum of the sub-graph interconnecting the scatterers. These results may find application in MIMO channel modeling in settings where full colorblack{pilot-based channel estimation} is infeasible or impractical, as in high-mobility scenarios.

AB - In this letter, the impact of scattering on a multiple-input multiple-output (MIMO) propagation environment is studied based on a recently-proposed graph-theoretical channel model. An old result that rich scattering in MIMO propagation environments is a requisite for the channel matrix to have full rank (equivalently for the channel capacity to scale linearly with the number of antennas) is verified. Then, novel insights on the importance of scattering in MIMO channels from a graph-theoretical perspective are provided. By showing that the adjacency matrix of the whole propagation channel has same spectrum (eigenvalues) as the sub-graph inter-connecting the scatterers, it is inferred that all graph-theoretical properties of the propagation graph are contained in the scattering fraction of the channel. In particular, it is inferred that the channel model can be almost-surely reconstructed from the sole knowledge of the spectrum of the sub-graph interconnecting the scatterers. These results may find application in MIMO channel modeling in settings where full colorblack{pilot-based channel estimation} is infeasible or impractical, as in high-mobility scenarios.

KW - MIMO systems

KW - spectral graph theory

KW - wireless channel modeling

KW - wireless propagation

UR - http://www.scopus.com/inward/record.url?scp=84873059868&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84873059868&partnerID=8YFLogxK

U2 - 10.1109/LCOMM.2012.120312.121184

DO - 10.1109/LCOMM.2012.120312.121184

M3 - Article

AN - SCOPUS:84873059868

VL - 17

SP - 23

EP - 26

JO - IEEE Communications Letters

JF - IEEE Communications Letters

SN - 1089-7798

IS - 1

M1 - 6374722

ER -