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In most radar detectors, the threshold is set to achieve a required probability of false alarm (equivalently, false alarm rate or time between false alarms). Suppose the background against which targets are to be detected is constant with time and space.
A low-probability-of-intercept radar (LPIR) is a radar employing measures to avoid detection by passive radar detection equipment (such as a radar warning receiver (RWR), or electronic support receiver) while it is searching for a target or engaged in target tracking.
The probability of detecting a given target at a given range any time the radar beam scans across it, Pd is determined by factors that include the size of the antenna and the amount of power it radiates. A large antenna radiating at high power provides the best performance. For high quality information on moving targets the Pd must be very high.
For instance, a sea-based radar system is most likely to view a ship from the side, the front, and the back, but never the top or the bottom. is the degree of freedom divided by 2. The degree of freedom used in the chi-squared probability density function is a positive number related to the target model.
The missile utilizes passive RF homing which reduces its probability of detection. A countermeasure to ARM is not to use self-protective jamming (one could use stand-off jamming, assuming that the missiles has a range no longer than the radar), or have a decoy taking the missile (such as ADM-160 MALD and AN/ALE-55 Fiber-Optic Towed Decoy). By ...
Detection theory or signal detection theory is a means to measure the ability to differentiate between information-bearing patterns (called stimulus in living organisms, signal in machines) and random patterns that distract from the information (called noise, consisting of background stimuli and random activity of the detection machine and of the nervous system of the operator).