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Probability of a False Alarm: Noise Power

The fixed threshold of a radar detector was set, assuming a known noise power, to yield P_FA = 10^-6. The actual noise power was 3 dB higher than expected. What will be the actual P_FA?

Solution Preview

I will use B for the noise power, Bnom for the nominal noise power.

Actual noise ...

Solution Summary

If Actual noise power in dB = Nominal noise power in dB + 3, then the problem can be solved using simple a logarithmic function as shown.