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The above-mentioned paper  derives bounds on the error probability of a decision feedback equalizer (DFE) which are claimed to be significantly tighter than the earlier upper bound of . Unfortunately,  makes an unsupportable assumption which reddars the conclusions incorrect. We show that valid bounds can be obtained by the methods of , but that for the numerical example of  , the resulting upper bound is never tighter than, and sometimes significantly weaker than, that derived in . Similarly, a lower bound derived by the method of  is shown for the same numerical example to be very close to the error-free past lower bound previously known.