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Here, we see that the performance of the nullifying detector is superior being in case of low and moderate impulse probabilities almost as good as the ordinary detector without impulsive noise.
In the proof of Lemma 3.4 above, we have identified the condition (alpha>alpha_{0}) (see Eq. (4)) as sufficient to ensure being in case (a) with (f sigma)< a_{0}) when (theta _{1}^{(f)}(sigma)=a_{1}).
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