On blind (non)identifiability of dispersive bandlimited channels

Author

Gazzah, Houcem ; Regalia, Phillip A. ; Delmas, Jean-Pierre

Author_Institution

Inst. Nat. des Telecommun., Evry, France

Volume

4

fYear

2001

fDate

2001

Firstpage

2061

Abstract

We study the asymptotic behavior of the smallest singular value of the single input multiple output (SIMO) channel filtering matrix. We prove that this can be expressed in terms of the sub-channel transfer functions. We apply this result to study the identifiability of bandlimited channels from their (estimated) second order statistics (SOS). We prove, and verify through examples, that SOS based algorithms are unable to identify frequency selective channels regardless of the assumed channel order

Keywords

bandlimited communication; channel bank filters; covariance matrices; dispersive channels; filtering theory; identification; singular value decomposition; statistical analysis; transfer functions; blind identification; blind nonidentifiability; channel filtering matrix; covariance matrices; dispersive bandlimited channels; frequency selective channels; second order statistics; single input multiple output; smallest singular value; sub-channel transfer functions; Covariance matrix; Dispersion; Filtering; Filters; Fourier transforms; Frequency; Statistics; Testing; Transfer functions;

fLanguage

English

Publisher

ieee

Conference_Titel

Acoustics, Speech, and Signal Processing, 2001. Proceedings. (ICASSP '01). 2001 IEEE International Conference on

Conference_Location

Salt Lake City, UT

ISSN

1520-6149

Print_ISBN

0-7803-7041-4

Type

conf

DOI

10.1109/ICASSP.2001.940397

Filename

940397