On communication diversity for blind identifiability and the uniqueness of low-rank decomposition of N-way arrays

Nicholas D. Sidiropoulos, Rasmus Bro

Research output: Chapter in Book/Report/Conference proceedingConference contribution

9 Scopus citations

Abstract

Blind separation of communication signals invariably relies on some form(s) of diversity to overdetermine the problem and thereby recover the signals of interest. More often than not, linear (e.g., spreading) diversity is employed, i.e., each diversity branch provides a linear combination of the unknown signals, albeit with possibly unknown weights. If multiple forms of linear diversity are simultaneously available, then the resulting data exhibit multilinear structure, and the blind recovery problem can be shown to be tantamount to low-rank decomposition of the multi-dimensional received data array. This paper generalizes Kruskal's fundamental result on the uniqueness of low-rank decomposition of 3-way arrays to the case of multilinear decomposition of 4- and higher-way arrays. The result characterizes diversity combining for blind identifiability when N forms of linear diversity are available; that is the balance between different forms of diversity that guarantees blind recovery of all signals involved.

Original languageEnglish (US)
Title of host publicationCommunicationsSensor Array and Multichannel Signal Processing
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages2449-2452
Number of pages4
ISBN (Electronic)0780362934
DOIs
StatePublished - 2000
Event25th IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP 2000 - Istanbul, Turkey
Duration: Jun 5 2000Jun 9 2000

Publication series

NameICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings
Volume5
ISSN (Print)1520-6149

Other

Other25th IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP 2000
Country/TerritoryTurkey
CityIstanbul
Period6/5/006/9/00

Bibliographical note

Funding Information:
Supported by NSF/CAREER CCR-9733540, NSF/Wireless CCR-9979295. Supported by LMC (Center for Advanced Food Studies) and PMP (Center for Predictive Multivariate Process Analysis) through the Danish ministries of research and industry.

Funding Information:
* Supported by NSFKAREER CCR-9733540, NSFNireless CCR-9979295. t Supported by LMC (Center for Advanced Food Studies) and PMP (Center for Predictive Multivariate Process Analysis) through the Danish ministries of research and industry.

Publisher Copyright:
© 2000 IEEE.

Fingerprint

Dive into the research topics of 'On communication diversity for blind identifiability and the uniqueness of low-rank decomposition of N-way arrays'. Together they form a unique fingerprint.

Cite this