Error Probabilities for the Detection of Radar Targets by Mismatched Receivers Using Half-Wave Nuth-Law Rectifiers

摘要

The probabilities of error and successful signal detection are determined for incoherent radar pulse trains observed by a suitably matched or mismatched receiver, which employs a half-wave nuth-law rectifier before video presentation: single targets, normal noise, and incoherent reception are assumed. The effects of detector law, input signal strength, and sample size on performance are examined, and in particular, the modification of performance by mismatch is studied. Mismatch requires, not unexpectedly, a stronger input to achieve performance comparable to that at match. The amount and extent of these modifications are calculated for a variety of examples of interest. In all cases a (relatively) large-sample theory is required for the analysis when comparatively simple results are to be obtained. Exact expressions (all sample sizes) are found, however, in the quadratic case (nu = 2). (Author)