Performance bounds for multistep prediction-based blind equalization

Blind equalization attempts to remove the interference caused by a communic ation channel without using any known training sequences. Blind equalizers may be implemented with linear prediction-error filters (PEFs). For many pr actical channel types, a suitable delay at the output of the equalizer allo ws for achieving a small estimation error. The delay cannot be controlled w ith one-step predictors. Consequently, multistep PEF-based algorithms have been suggested as a solution to the problem, The derivation of the existing algorithms is based on the assumption of a noiseless channel, which result s in zero-forcing equalization. We consider the effects of additive noise a t the output of the multistep PEF Analytical error bounds for two PEF-based blind equalizers in the presence of noise are derived. The obtained result s are verified,vith simulations. The effect of energy concentration in the channel impulse response on the error hound is also addressed.