Title :
Application of the fractional Fourier transform to the synthesis of low sidelobe pencil shaped beams for nonseparable planar arrays
Author :
Buckley, M.J. ; Nelson, W.S.
Author_Institution :
Lockheed Martin GES, Moorestown, NJ, USA
Abstract :
A technique for the synthesis of low sidelobe pencil shaped beams for nonseparable planar arrays is presented. In order to determine the array excitations a local optimization technique, the truncated-Newton method, is used. The cost function is in part determined from the peak sidelobe values of a series of collapsed one dimensional distributions. The fractional Fourier transform is used to efficiently determine the peak sidelobe values of the collapsed current distributions. For this particular application the fractional Fourier transform is substantially more efficient than the conventional fast Fourier transform.
Keywords :
Fourier transforms; Newton method; antenna radiation patterns; current distribution; optimisation; planar antenna arrays; search problems; shaped beam antennas; array excitations; collapsed current distributions; collapsed one dimensional distributions; cost function; fractional Fourier transform; local optimization technique; local search; low sidelobe pencil shaped beams; nonseparable planar arrays; peak sidelobe values; shaped beams synthesis; truncated-Newton method; Cost function; Current distribution; Fast Fourier transforms; Fourier transforms; Optimization methods; Planar arrays;
Conference_Titel :
Antennas and Propagation Society International Symposium, 1998. IEEE
Conference_Location :
Atlanta, GA, USA
Print_ISBN :
0-7803-4478-2
DOI :
10.1109/APS.1998.702046