Sum and difference pattern synthesis with antenna correction

A fast iterative method for minimizing the peak sidelobe level of an antenna array is presented, which is based on the non-uniform fast Fourier transform (NUFFT). Due to an inverse Fourier transform relationship between the array factor and the element excitation, the FFT can be used for optimizing the element excitation and array factor alternatively by interpolating the non-uniform arrays into oversample virtual uniform arrays. During the whole iteration, the mainlobe is kept unchanged and the sidelobe level is adjusted. For demonstration, the pattern correction of the sum and difference pattern are implemented by the proposed algorithm.