Purchase Solution

Probability of a False Alarm: Noise Power

Not what you're looking for?

Ask Custom Question

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?

Purchase this Solution
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.

Solution Preview

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

Actual noise ...

Purchase this Solution
Free BrainMass Quizzes
Architectural History

This quiz is intended to test the basics of History of Architecture- foundation for all architectural courses.

Air Pollution Control - Environmental Science

Working principle of ESP

View More Free Quizzes
Related BrainMass Solutions

  • Substituting equations

    Given the Rician PDF (3.23) Probability of False Alarm The probability of false alarm is equal to the area underneath from the threshold to infinity, that is:

  • Variance of Poisson random variable

    114410 Variance of Poisson random variable The number of false alarms a building fire alarm system registers has a Poisson distribution with a mean of 6 false alarms per year. The variance of the number of false alarms is what?

  • Application of Law of Total Probability

    If the intrusion-detection system has a true-alarm rate of 0.6 and a false alarm rate of 0.0005, what percentage of alarms generated by the system correspond to real intrusions?

  • Detection and Estimation

    Explain in detail what the optimum Neyman = Pearson test is for all values of the false alarm probability a in the open interval (0,1).

  • Smoke detector and probability

    0.63*0.13=0.0819 (8.19%) For houses without smoke detectors the probability someone will die is: (1-0.63)*0.24=0.0888 (8.88%) Taking into account the false alarm, the probability that if the fire brigade has a callout then they will be fighting

  • Smoke detector and probability of using it

    *0.13=0.0819 (8.19%) For houses without smoke detectors the probability someone will die is: (1-0.63)*0.24=0.0888 (8.88%) Taking into account the false alarm, the probability that if the fire brigade has a callout then they will be fighting a fire

  • Examination of a terrestrial communications link

    The receiving system has a noise temperature of 1000 K and the received signal at the input to the receiver has a power level of 121.5 dBW. The receiver has an implementation margin of 0.5 dB. What is the CNR at the receiver output? c.

  • Examples of Type I & II Errors for Statistics Students

    A type I error (false positive) would be the instance in which a weapon-free passenger actually sets off the alarm. This is a false positive because the passenger does not have a weapon, yet activates the alarm as if a weapon were present.

  • Type I or Type II errors?

    This probability of a type I error can be precisely computed as P(type I error) = significance level The exact probability of a type II error is generally unknown.

View More Related Solutions