The principle of intensity correlation imaging is demonstrated in this paper. Besides, the speckle effect of illumination laser is analyzed and the influence on spectral modulus induced by speckle effect is also analyzed with the aid of simulation. The digital micromirror array is used to design the experiment. Utilizing the wavefront data measured by the adaptive optical telescope, the rotational state of digital micromirror array can be set. Hence, the information of intensity fluctuation from different targets can be obtained. Then, the image restoration can be realized using prior information iteration algorithm. The results show that the intensity fluctuation of the target speckle light field obeys the negative exponential distribution. Apart from that, the speckle light field makes the error of the high frequency part of the target spectral modulus. Using the prior information iteration algorithm can recover the target image well, and the peak signal-to-noise ratio of the target recovery image can reach up to 29.87 dB.