Linear prediction error method for blind identification of time-varying channels: theoretical results

Blind channel estimation for SIMO time-varying channels is considered using only the second-order statistics of the data. The time-varying channel is assumed to be described by a complex exponential basis expansion model (CE-BEM). The linear prediction error method for blind identification of time-invariant channels is extended to time-varying channels represented by a CE-BEM. Sufficient conditions for identifiability are investigated. The cyclostationary nature of the received signal is exploited to estimate consistently the time-varying correlation function of the data from a single observation record. The focus of the paper is on certain theoretical issues.