Least-squares lattice algorithm for adaptive channel equalisation. A simplified derivation

The exact least-squares lattice algorithm for channel equalisation is derived without using an explicit time update for the equaliser or predictor coefficients. This avoids the need for auxiliary vectors and scalars within the analysis, which is considerably simplified as a result. The algorithm, which incorporates a growing-fading memory estimator, is developed in the traditional unnormalised form, from which a compact rationalised and normalised algorithm is subsequently derived.