In order to eliminate the effect of echo outside the field of view (FOV) on fringes scanning imaging (also known as Fourier telescope or coherent field imaging), this paper analysed in theory the main factors of reconstruction overlap caused by echo, and provided the best solutions to different application scenes. This paper studied in detail the effect of echo from different illumination zones on imaging by means of computer simulation and also analysed in detail the improving effects of the scheme of adding short baselines on reconstruction blur. The results of simulation show that the echo from three beam (the largest number of beams transmitted simultaneously) overlap zone has the most serious effect on reconstruction results and that adding short baselines can eliminate image overlap and also that the more short baselines are added, the more distinct details can be got(one short baseline can promote the Strehl ratio from 0.49 to 0.59). The schemes of eliminating effect of echo outside the FOV provided by this paper could be useful to the concrete implement of fringes scanning imaging in different application fields.