On the generalized villeneuve distribution

A new technique is presented for generating array factors with arbitrary sidelobe level and envelope taper. Aperture distribution corresponding to simple Taylor distribution terminates abruptly in a pedestal at its edges. However, generalized Villeneuve distribution with proper excitation at the edges can be used to obtain array factor with desired sidelobe level and envelope tapering. The generalized Villeneuve distribution is obtained by root matching technique. If desired, an additional perturbation technique can be used to obtain more accurate results. A few examples are given to validate the presented method. Also, variation of different array characteristics with respect to sidelobe tapering is explained through graphical data.