Why probability of detection increases with proability of false alarm?
Answers
Answered by
0
Probability of false alarm specifies that how many time we (or radar) declare a signal is present in the received waveform, when actually it was not there.For example, if PFA = 10^-3, then this means that there are chances of one time false alarm out of thousand experiment, means we declared signal is present when it was not. In detection problems, probability of false alarm is specified and we have to find threshold “gamma” from this given probability. Probability of false alarm increases if probability density functions (pdf) of a waveform with or without signal are centered very near to each other. large various of noise also increase this probability. In detection, we try to increase probability of detection for the given probability of false alarm (Neyman-Pearson Theorem). Steven M. kay book “ Fundamentals of Statistical theory (Detection Part)“ is a good book for understanding in simple words.
Similar questions