In blind adaptation the dynamics of an unknown channel (system) is recovered together with the transmitted symbol sequence (input signal), This paper generalizes a previous algorithm, that is nd derived by criterion minimization, to include adaptive regressor filtering. The resulting scheme, which adapts a finite-dimensional IIR channel model, is designed to converge only to a well-defined set of parameters when binary symbols are transmitted over the channel. This provides a partial solution to the recently discussed hi-convergence problem in blind adaptation. Some connections to adaptive control theory are noted.