ODE analysis and redesign in blind adaptation

In blind adaptation the dynamics of an unknown channel (system) is recovered together with the transmitted symbol sequence (input signal). This paper generalizes the author's previous algorithm (1994, 1997), that is not 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 ill-convergence problem in blind adaptation. Some connections to adaptive control theory are noted.