Self-tuning blind identification and equalization of IIR channels (Q1773663)

Summary: This paper considers self-tuning blind identification and equalization of fractionally spaced IIR channels. One recursive estimator is used to generate parameter estimates of the numerators of IIR systems, while the other estimates the denominator of an IIR channel. The equalizer parameters are calculated by solving a Bézout type equation. It is shown that the numerator parameter estimates converge (a.s.) toward a scalar multiple of the true coefficients, while the second algorithm provides consistent denominator estimates. It is proved that the equalizer output converges (a.s.) to a scalar version of the actual symbol sequence.