Statistical observations of position errors in two dimensional antenna array

The authors observe how the errors in location of the elements of a two-dimensional antenna array affect the gain pattern of the array in a statistical manner. A procedure for deriving the expectation and variance of the two-dimensional array pattern when the array uses Tseng window weight for its gain at each element is presented. By computing the expectation, variance, and deviation of the array pattern, the critical value for the position error can be determined depending on the desired sidelobe level of the array. Numerical results are presented.<>