Performance of Zolotarev and modified-Zolotarev difference pattern array distributions

The Zolotarev polynomial distribution is optimum for difference pattern synthesis in the same sense as the Dolph-Chebyshev distribution is for sum synthesis. In this paper the results of a comprehensive numerical evaluation of Zolotarev arrays are used to summarise the principal features of the distribution. It is demonstrated that many of these characteristics parallel those of its sum counterpart. A tapered-sidelobe difference pattern synthesis technique is then outlined, which parallels the generalised Villeneuve n distribution approach of sum patterns. Just as the Villeneuve procedure provides the array excitations for a discrete 'Taylor-like' distribution directly, so the present procedure allows direct synthesis of discrete 'Bayliss-like' distributions. In addition the approach is extended to incorporate a parameter which controls the sidelobe envelope taper rate.