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Either a +1 or a -1 symbol is transmitted with equal probabiility. At the receivers side, some gaussian noise with variance sigma^2 is added. What is the optimal decision boundary? Derive it rigorously for the case when -1 is transmitted with probability 0.75 and +1 with probability 0.25.
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Signal Processing Engineer

Interviewed at Texas Instruments

3.8
Dec 8, 2025

Either a +1 or a -1 symbol is transmitted with equal probabiility. At the receivers side, some gaussian noise with variance sigma^2 is added. What is the optimal decision boundary? Derive it rigorously for the case when -1 is transmitted with probability 0.75 and +1 with probability 0.25.

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