Recent theory of compressed sensing (CS) has been widely used in many application areas. In this paper, we mainly
concentrate on the CS in radar and analyze the distinguishing ability of CS radar image based on information theory
model. The information content contained in the CS radar echoes is analyzed by simplifying the information
transmission channel as a parallel Gaussian channel, and the relationship among the signal-to-noise ratio (SNR) of the
echo signal, the number of required samples, the length of the sparse targets and the distinguishing level of the radar
image is gotten. Based on this result, we introduced the distinguishing ability of the CS radar image and some of its
properties are also gotten. Real IECAS advanced scanning two-dimensional railway observation (ASTRO) data
experiment demonstrates our conclusions.