Title: Extremal Problems in
Harmonic Analysis and Phased Arrays Abstract: Phased array antenna systems are
characterized by functions called array factors. These functions are
trigonometric polynomials with coefficients consisting of only zeros and
ones. From an engineering perspective it is desirable to have polynomials
with a high degree but only a small number of ones and to have the modulus
of the polynomial look as much like a delta function as possible. We
describe some approaches to this problem and we give an algorithm for
constructing such polynomials based on generalized RudinShapiroGolay
systems.
