Design of error tolerance of a phased array

In the letter we present a set of universal probability curves that relate the array error tolerance, illumination function, achievable sidelobe level and the designed sidelobe level. We show that this set of probability curves can be used to find a lower designed sidelobe level to achieve a better error tolerance. The relations of array directivity gain and beamwidth with respect to illumination function are also discussed. These parameters can be conveniently used for this design procedure without detailed knowledge of the array illumination.