Near-Optimum Detection Performance of Power-Law Processors for Random Signals ofUnknown Locations, Structure, Extent, and Arbitrary Strengths

摘要

This technical report is the fifth in a series of NUWC Division Newportpublications which are aimed at determining the fundamental performance capability of detection of ramdom signals with unknown characteristics. The previous four reports dealt mainly with the case of equal average signal power levels in all the occupied bins; this report extends those investigation by addressing the important case of arbitrary (unequal) signal powers in the occupied bins. The major questions to be answered is, whether the same power-law processor values of the power v should be used in order to reach performance levels in the neighborhood of those for the optimum processor. Also, the exact losses of the power-law class of processors, for various numbers of occupied bins and different sets of signal strengths, are of interest. The principal motive is the need to detect intermittent signals that occur in random locations with no apparent structure and with arbitrary strengths, time intervals, and/or frequency extents.