Identifiability results for blind beamforming in incoherent multipath with small delay spread

Author

Sidiropoulos, Nicholas D. ; Liu, Xiangqian

Author_Institution

Dept. of Electr. & Comput. Eng., Minnesota Univ., Minneapolis, MN, USA

Volume

49

Issue

1

fYear

2001

fDate

1/1/2001 12:00:00 AM

Firstpage

228

Lastpage

236

Abstract

Several explicit identifiability results are derived for deterministic blind beamforming in incoherent multipath with small delay spread. For example, it is shown that if the sum of spatial and fractional sampling diversities exceeds two times the total number of paths, then identifiability can be guaranteed even for one symbol snapshot. The tools come from the theory of low-rank three-way array decomposition (commonly referred to as parallel factor analysis (PARAFAC) and data smoothing in one and two dimensions. New results regarding the Kruskal-rank of certain structured matrices are also included, and they are of interest in their own right

Keywords

array signal processing; delay estimation; identification; matrix algebra; multipath channels; radiocommunication; signal reconstruction; Kruskal-rank; PARAFAC; blind beamforming; data smoothing; delay spread; fractional sampling diversities; identifiability; incoherent multipath; low-rank three-way array decomposition; parallel factor analysis; spatial sampling diversities; structured matrices; Array signal processing; Data analysis; Delay; Matrix decomposition; Parameter estimation; Sampling methods; Sensor arrays; Signal processing; Signal processing algorithms; Smoothing methods;

fLanguage

English

Journal_Title

Signal Processing, IEEE Transactions on

Publisher

ieee

ISSN

1053-587X

Type

jour

DOI

10.1109/78.890366

Filename

890366