A Two-Parameter Class of Bessel Weightings with Controllable Sidelobe Behavior for Linear, Planar-Circular, and Volumetric-Spherical Arrays; the Ideal Weighting-Pattern Pairs.

Abstract

A two-parameter class of Bessel weightings is presented whose patterns have controllable sidelobe decay and mainlobe-to-peak-sidelobe ratio, for one-two-, and three-dimensional arrays. In the one-dimensional application, the class of weightings subsumes the Kaiser-Bessel weighting as a special case, and extends to the ideal van der Maas weighting as a limiting case. In the two-and three-dimensional applications, all the results are new; the ideal patterns in these latter cases are also derived and found to require weightings with generalized functions that are more singular than the delta functions required for one dimension. Approximations to the generalized functions are presented. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Jul 01, 1982
Accession Number
ADA119142

Entities

People

  • Albert H. Nuttall

Organizations

  • Naval Underwater Systems Center

Tags

Communities of Interest

  • Air Platforms
  • Weapons Technologies

DTIC Thesaurus Topics

  • Bessel Functions
  • Delta Functions
  • Equations
  • Frequency
  • Geometry
  • Integrals
  • Linear Arrays
  • Mathematics
  • Plane Waves
  • Quadrants
  • Rhode Island
  • Sidelobes
  • Signal Processing
  • Test And Evaluation
  • Three Dimensional
  • Universities
  • Weighting Functions

Fields of Study

  • Mathematics

Readers

  • Calculus or Mathematical Analysis
  • Phased Array Antenna Design.