Random Periodic Arrays

Recent theoretical and experimental works on large arrays showed important advantages of random spacings over conventional uniform spacings. In that design, however, the elements can be anywhere in the aperture; as a result, the element distribution becomes completely chaotic, an undesirable practice. In this paper, another approach is investigated, which allows a random selection of elements over a uniform grid system in the aperture, thereby giving rise to an array with random periodic pattern function. Probabilistic properties of these arrays are analyzed in detail and several Monte Carlo experiments are used to verify the theory.