2. Suppose the source output Gaussian signals under two hypothesis with different statistical values. Under H0 hypothesis, the mean value is zero and the variance is o²; while under H1 hypothesis, the mean value is 2 and the variance is 20². The a priori is known, PO-P1-0.5. Observations were

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2. Suppose the source output Gaussian signals under two hypothesis with different statistical values.
Under H0 hypothesis, the mean value is zero and the variance is o²; while under H1 hypothesis,
the mean value is 2 and the variance is 20². The a priori is known, PO-P1=0.5. Observations were
made N times and the observations are independent. Make decision by the minimum error
probability criterion.
Transcribed Image Text:2. Suppose the source output Gaussian signals under two hypothesis with different statistical values. Under H0 hypothesis, the mean value is zero and the variance is o²; while under H1 hypothesis, the mean value is 2 and the variance is 20². The a priori is known, PO-P1=0.5. Observations were made N times and the observations are independent. Make decision by the minimum error probability criterion.
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