Correlated imaging is a kind of novel imaging technology which can reconstruct the target information on the optical path through intensity correlation calculation. In complex environments, turbulence, scattering and other factors will affect the measurement of signal light in the form of noise. Since the signal light in correlated imaging is measured by bucket detector, it is necessary to systematically study the processing of noise-including signal light and its influence on the process of correlated imaging. Under this background, this paper systematically reviewed the related research of our research group. Firstly, the correlated imaging model in complex environment was briefly introduced. Then, the influence of noise-including signal light on correlated imaging of binary target and gray target was analyzed. Then, the signal noise caused by turbulence in the atmospheric channel was measured and analyzed. Finally, the application of the correlated imaging was prospected.