Title :
Calculating Fourier coefficients for Chebyshev patterns by recurrence formulas
Author :
Salzer, Herbert E.
Author_Institution :
941, Washington Ave., Brooklyn, N.Y.
Abstract :
Two recurrence schemes are given for finding Amin Tn(ax + b) = Σm=0nAmTm(x) for given n, a, and b, where Tm(x)= cos (m arccos x). This problem arises in the calculation of feeding coefficients to produce optimum beam patterns in the design of certain linear arrays.
Keywords :
Chebyshev approximation; Equations; Polynomials;
Journal_Title :
Proceedings of the IEEE
DOI :
10.1109/PROC.1975.9717
