On blind (non)identifiability of dispersive bandlimited channels
Houcem Gazzah, P.A. Regalia, Jean-Pierre Delmas · 2002
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.