The field of view (FOV) of the 8 mm band synthetic aperture radiometer with regular Y-shaped array is small due to the relative large electronic scale of the RF front. To overcome this disadvantage, a kind of star-shaped array is presented. In the star-shaped array, the visible distance is only half of that of the antennas, so it doubles the imaging FOV. To deal with the missing visibilities of the star-shaped array, an image restoration method based on back-dropping and projecting onto convex set (POCS) is presented. Imaging simulations were carried out. The simulations validate the effectivity of the presented method.