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We study the high-SNR performance of the bi-directional arbitrated DFE (BAD) equalization algorithm. Using asymptotic efficiency analysis, we characterize the performance of BAD as the channel noise variance approaches zero. We consider the case in which the channel is perfectly known to the receiver, as well as the case in which the channel estimate is in error. Asymptotic efficiency analysis allows us to quantify the loss in performance due both to inter-symbol interference (ISI) and imperfect channel estimation. The asymptotic efficiency of BAD is compared to that of a matched filter receiver, a maximum likelihood sequence estimator, and a standard DFE. Our results indicate that for the channel model considered, BAD can achieve gains of up to 3 dB over the standard DFE, even when the channel estimate is in error.