Typical performance of generalised vector channels

Roberto C. Alamino; David Saad

doi:10.1109/WIOPT.2008.4586143

Typical performance of generalised vector channels

Roberto C. Alamino, David Saad

Mathematics

Research output: Chapter in Book/Published conference output › Other chapter contribution

Abstract

We introduce a general matrix formulation for multiuser channels and analyse the special cases of Multiple-Input Multiple-Output channels, channels with interference and relay arrays under LDPC coding using methods developed for the statistical mechanics of disordered systems. We use the replica method to provide results for the typical overlaps of the original and recovered messages and discuss their implications. The results obtained are consistent with belief propagation and density evolution results but also complement them giving additional insights into the information dynamics of these channels with unexpected effects in some cases.

Original language	English
Title of host publication	Proceedings of the 6th International Symposium on Modeling and Optimization in Mobile, Ad Hoc, and Wireless Networks, WiOpt 2008
Publisher	IEEE
Pages	598-602
Number of pages	5
ISBN (Electronic)	978-963-9799-18-9
ISBN (Print)	978-963-9799-18-9
DOIs	https://doi.org/10.1109/WIOPT.2008.4586143
Publication status	Published - 2008
Event	6th International Symposium on Modeling and Optimization in Mobile, Ad Hoc, and Wireless Networks and Workshops, 2008 (WiOPT 2008) - Berlin, Germany Duration: 1 Apr 2008 → 3 Apr 2008

Workshop

Workshop	6th International Symposium on Modeling and Optimization in Mobile, Ad Hoc, and Wireless Networks and Workshops, 2008 (WiOPT 2008)
Country/Territory	Germany
City	Berlin
Period	1/04/08 → 3/04/08

Bibliographical note

© 2008 IEEE. Personal use of this material is permitted. Permission from IEEE must be obtained for all other uses, in any current or future media, including reprinting/republishing this material for advertising or promotional purposes, creating new collective works, for resale or redistribution to servers or lists, or reuse of any copyrighted component of this work in other works.

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10.1109/WIOPT.2008.4586143

Typical Performance of Generalised Vector Channels
© 2008 IEEE. Personal use of this material is permitted. Permission from IEEE must be obtained for all other uses, in any current or future media, including reprinting/republishing this material for advertising or promotional purposes, creating new collective works, for resale or redistribution to servers or lists, or reuse of any copyrighted component of this work in other works.
Accepted author manuscript, 201 KB

Cite this

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title = "Typical performance of generalised vector channels",

abstract = "We introduce a general matrix formulation for multiuser channels and analyse the special cases of Multiple-Input Multiple-Output channels, channels with interference and relay arrays under LDPC coding using methods developed for the statistical mechanics of disordered systems. We use the replica method to provide results for the typical overlaps of the original and recovered messages and discuss their implications. The results obtained are consistent with belief propagation and density evolution results but also complement them giving additional insights into the information dynamics of these channels with unexpected effects in some cases.",

author = "Alamino, {Roberto C.} and David Saad",

note = "{\textcopyright} 2008 IEEE. Personal use of this material is permitted. Permission from IEEE must be obtained for all other uses, in any current or future media, including reprinting/republishing this material for advertising or promotional purposes, creating new collective works, for resale or redistribution to servers or lists, or reuse of any copyrighted component of this work in other works.; 6th International Symposium on Modeling and Optimization in Mobile, Ad Hoc, and Wireless Networks and Workshops, 2008 (WiOPT 2008) ; Conference date: 01-04-2008 Through 03-04-2008",

year = "2008",

doi = "10.1109/WIOPT.2008.4586143",

language = "English",

isbn = "978-963-9799-18-9",

pages = "598--602",

booktitle = "Proceedings of the 6th International Symposium on Modeling and Optimization in Mobile, Ad Hoc, and Wireless Networks, WiOpt 2008",

publisher = "IEEE",

address = "United States",

}

Alamino, RC & Saad, D 2008, Typical performance of generalised vector channels. in Proceedings of the 6th International Symposium on Modeling and Optimization in Mobile, Ad Hoc, and Wireless Networks, WiOpt 2008. IEEE, pp. 598-602, 6th International Symposium on Modeling and Optimization in Mobile, Ad Hoc, and Wireless Networks and Workshops, 2008 (WiOPT 2008), Berlin, Germany, 1/04/08. https://doi.org/10.1109/WIOPT.2008.4586143

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AU - Alamino, Roberto C.

AU - Saad, David

N1 - © 2008 IEEE. Personal use of this material is permitted. Permission from IEEE must be obtained for all other uses, in any current or future media, including reprinting/republishing this material for advertising or promotional purposes, creating new collective works, for resale or redistribution to servers or lists, or reuse of any copyrighted component of this work in other works.

PY - 2008

Y1 - 2008

N2 - We introduce a general matrix formulation for multiuser channels and analyse the special cases of Multiple-Input Multiple-Output channels, channels with interference and relay arrays under LDPC coding using methods developed for the statistical mechanics of disordered systems. We use the replica method to provide results for the typical overlaps of the original and recovered messages and discuss their implications. The results obtained are consistent with belief propagation and density evolution results but also complement them giving additional insights into the information dynamics of these channels with unexpected effects in some cases.

AB - We introduce a general matrix formulation for multiuser channels and analyse the special cases of Multiple-Input Multiple-Output channels, channels with interference and relay arrays under LDPC coding using methods developed for the statistical mechanics of disordered systems. We use the replica method to provide results for the typical overlaps of the original and recovered messages and discuss their implications. The results obtained are consistent with belief propagation and density evolution results but also complement them giving additional insights into the information dynamics of these channels with unexpected effects in some cases.

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DO - 10.1109/WIOPT.2008.4586143

M3 - Other chapter contribution

AN - SCOPUS:51949103212

SN - 978-963-9799-18-9

SP - 598

EP - 602

BT - Proceedings of the 6th International Symposium on Modeling and Optimization in Mobile, Ad Hoc, and Wireless Networks, WiOpt 2008

PB - IEEE

T2 - 6th International Symposium on Modeling and Optimization in Mobile, Ad Hoc, and Wireless Networks and Workshops, 2008 (WiOPT 2008)

Y2 - 1 April 2008 through 3 April 2008

ER -

Typical performance of generalised vector channels

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