The Convolution Applied on the Synthesis Shaped Beam

We present an efficient and flexible method for the optimal synthesis of shaped beam linear array. The technique is based on the convolution of the desired pattern and a scanning function. The amplitude of the ripple in the shaped region and the height of the sidelobes in the nonshaped region are controlled. The shaped pattern is produced by a pure real distribution. Several computer examples, with low ratio of maximum to minimum current excitation, are presented. A comparative study with method of Elliott is realiced.