A specific emitter identification (SEI) method and apparatus is capable of identifying and tracking objects within a geographical area of interest wherein the system and method has not been preprogrammed to look for particular signals. The system and method receives all of the emitted electromagnetic signals emitted from area of interest. The system and method next performs high order statistical analysis on the received signals and determines which signals emanate from possible targets of interest and which likely emanate from background clutter/noise by comparing the relative degrees of Gaussianness of the signals (for example using entropy measurements). The least Gaussian signals are deemed to likely be signals from potential targets of interest while those which are more Gaussian are deemed to be likely from background clutter or noise.