Accession Number:

AD0655791

Title:

EIGENELEMENTS OF THE FINITE FOURIER TRANSFORM AND THEIR APPLICATION TO ANTENNA PATTERN SYNTHESIS

Descriptive Note:

Corporate Author:

HUGHES AIRCRAFT CO CULVER CITY CA ANTENNA DEPT

Personal Author(s):

Report Date:

1966-12-01

Pagination or Media Count:

58.0

Abstract:

The eigenvalues and eigenfunctions of the finite Fourier transform corresponding to parameter c 10 pi, 15 pi, 20 pi, and 25 pi are computed and tabulated. The computational details are given and discussed. An antenna pattern synthesis technique that makes use of these eigenelements is illustrated by examples. When the superdirective ratio is constrained to reasonable values, the number of eigenfunctions that contribute significantly to the pattern is found to be approximately equal to twice the number of wavelengths in the aperture. A pattern synthesized with the above eigenfunctions is compared with the pattern obtained by Woodwards method.

Subject Categories:

  • Numerical Mathematics
  • Computer Programming and Software
  • Radiofrequency Wave Propagation

Distribution Statement:

APPROVED FOR PUBLIC RELEASE