The result of a neyman-pearson test

Reference no: EM131083864

In the radar system of Example 8.4, show that the ROC in Figure 8.2 is the result of a Neyman-Pearson test. That is, show that the Neyman-Pearson test is a threshold test with acceptance set A0 = {X ≤ x0}. How is x0 related to the false alarm probability α?

Example 8.4

The noise voltage in a radar detection system is a Gaussian (0, 1) random variable, N. When a target is present, the received signal is X = v + N volts with v ≥ 0. Otherwise the received signal is X = N volts. Periodically, the detector performs a binary hypothesis test with H₀ as the hypothesis no target and H₁as the hypothesis target present. The acceptance sets for the test are A₀ = {X ≤ x0} and A₁ = {X > x0}. Draw the receiver operating curves of the radar system for the three target voltages v = 0, 1, 2 volts.

Figure 8.2

Reference no: EM131083864

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