Investigative study of planar array ambiguities based on "hyperhelical" parameterization

In this paper, a novel approach is proposed for the calculation of ambiguous generator sets of directions for planar arrays. This approach is based on the concept of hyperhelical curves and their equivalent linear arrays, which provide a vehicle for investigating planar array ambiguities by adopting and extending techniques proposed for linear arrays. Thus, ambiguous generator sets of directions of constant azimuth and different elevation are initially calculated, and the concept of ambiguous generator lines is introduced. Then, by using cone-angle parametrization, ambiguities associated with directions of different azimuth and different elevation are investigated.