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CUMULATIVE PROBABILITY OF DETECTION FOR TARGETS APPROACHING A UNIFORMLY SCANNING SEARCH RADAR
RAND CORP SANTA MONICA CALIF
The cumulative detection probability of a search radar is discussed when it is scanning uniformly. This is the probability that a target approaching the radar at a constant radial velocity is detected at least once by the time it reaches a given range, as distinguished from the more common blip-scan ratio a single-scan detection probability. It is shown that for constant-velocity targets the range for a given cumulative detection probability varies as the cube root of the power-aperture product, rather than as the fourth root. Curves of cumulative detection probability as a function of normalized range are given for three different target scintillation models. Also, curves of optimum normalized frame time are given as a function of the desired cumulative detection probability for each of the three target scintillation characteristics. Author