The effect of bias on the linear canceller

The linear canceller has been shown to be effective in mitigating intersymbol interference in the presence of slope distortion. However, even moderate amounts of bias can affect the stability and performance of the canceller. We infer the eigenvalues associated with the autocorrelation matrix of the jointly adaptive infinitely long linear canceller structure with the aid of a theorem on asymptotic convergence. As in the case of the fractionally spaced equalizer, these eigenvalues are spread over a wide range; hence, the linear canceller taps can grow large when a bias exists in the updating error signal. This occurs even though the canceller is only symbol-space d, in contrast to the phenomenon in an equalizer. One solution is to apply the tap-leakage algorithm to both jointly adapting filters constituting the canceller.