Title :
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
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;
Conference_Titel :
Acoustics, Speech, and Signal Processing, 2001. Proceedings. (ICASSP '01). 2001 IEEE International Conference on
Conference_Location :
Salt Lake City, UT
Print_ISBN :
0-7803-7041-4
DOI :
10.1109/ICASSP.2001.940397
