Adaptive radar detection with asymptotically regulated falsealarm rate
Abstract
An adaptive detection procedure is described by which the detection threshold is so adjusted as to provide an asymptotic falsealarm probability PFA that is approximately invariant with changes in radarclutter returnamplitude probability density functions (pdf's) in a broad class. The class includes Rayleigh, chi, Weibull, and lognormal pdf's. The receiver noise is also taken into account. The clutterplusnoise pdf is approximated by a truncated generalized Laguerre series, the coefficients of which are estimated from the radar returns using 'cell averaging' techniques. This estimation is assumed to be perfect. The results obtained indicate that the 'bias' error, defined as the normalized difference between the design PFA and the asymptotic PFA corresponding to the computed threshold, lies within a fraction of an order of magnitude for PFA of one thousandth to one millionth. For PFA of less than one millionth, the bias error is more than an order of magnitude. These results are for the case where a single independent radar return is processed at a time. The bias error decreases as the number of postdetection integrations of independent returns increases.
 Publication:

IEEE Transactions on Aerospace Electronic Systems
 Pub Date:
 July 1977
 DOI:
 10.1109/TAES.1977.308473
 Bibcode:
 1977ITAES..13..390T
 Keywords:

 Clutter;
 Probability Density Functions;
 Radar Tracking;
 Surveillance Radar;
 Bias;
 Rayleigh Distribution;
 Series Expansion;
 Signal To Noise Ratios;
 Warning Systems;
 Weibull Density Functions;
 Communications and Radar