Distribution of sidelobe level in random arrays

The probability of peak sidelobe level of a random array is obtained for any given probability density of element positions. The method is based on the sampling theorem for band-limited functions. These results are applicable to small as well as large arrays. In the case of large arrays, they coincide with those obtained earlier by Lo through a different argument. In addition, this method shows the effect of probabilistic distribution of the elements on the sidelobe level.