Radar detection probability with logarithmic detectors

It is shown that use of a logarithmic (rather than square-law) detector in a search radar system inflicts a loss of sensitivity equivalent to a power loss of the order of one db under typical conditions. Curves of probability of detection vs relative range are given for various false alarm probabilities and various numbers of pulses integrated. The power loss (in db) is roughly proportional to the logarithm of the number of pulses integrated.