Orthogonal Polynomial Based Array Design.

摘要

Array weighting designs of the Dolph-Chebyshev and Kaiser-Bessel type are based mathematically on orthogonal polynomials. The theoretical properties of these polynomials give rise to the desirable properties of the resulting arrays. This paper presents results for array weights based on a very general set of orthogonal polynomials called the Jacobi polynomials. Many interesting array far-field beampatterns are exhibited. A practical means of computing all the array weights exactly by means of one fast Fourier transform (FFT) is given. This method is quick and accurate and can compute the weights for arrays having large numbers of elements. It can efficiently compute both Dolph-Chebyshev and discrete Kaiser-Bessel weights as special cases.