As the research of coherent imaging (Fourier telescopy) in the procedure from laboratory experiments to the real system, there are many factors that may impact on the realization. However, among the factors and analysis, there has not been a theoretical support for calibrating the aperture position error distribution and the error range. In this article, based on the optical transportation theory, the aperture position error distribution and its impact on image quality were analyzed. The paper also proposed the error range and carried out the experimental setups. The results demonstrate that the relative position error should be controlled less than 5%. To sum up, this article provide a theoretical method to analyze the design and the configuration of the real Fourier telescopy.