Author's reply [to "Comments on 'The Estimate Feedback Equalizer: A Suboptimum Nonlinear Receiver'"]

With regard to Mark's statements concerning the adaptive algorithm described in the previous paper, he is correct in stating that the basic form of the algorithm is due to him. The author wishes to extend an apology to Dr. Mark for failing to credit him specifically in the previous paper1 for developing the basic form of this algorithm. The final form of the algorithm used in that paper and described therein by (36) and (37) represents an extension to the algorithm developed by Mark, and should have been labeled as such rather than as a new algorithm. With regard to Mark's statement concerning the use of the tanh(·) nonlinearity, the author did publish a brief letter (1971) concerning some simulations using such a nonlinearity. However, the present paper contains the theoretical justification for this nonlinearity and its use in equalization, the results of extensive simulations using it, and a comparison of its performance to presently existing equalizers. All of this last, contrary to Mark's claim, represents new work.