To replace the traditional FFT method to realize the object range super-res
olution estimation, an artificial neural network method was proposed to dec
ompose signal's auto-correlation matrix into the summation of rank-1 matric
es, and convert the decomposition problem to an iterative one by using Hopf
ield neural network. The property of this method was investigated both theo
retically and experimentally. And the results were compared with five other
typical super-resolution algorithms including MUSIC, etc., and it was foun
d that the present method has a lower SNR threshold and higher range resolu
tion.