Accession Number:

ADA191087

Title:

Null Steering Applications of Polynomials with Unimodular Coefficients.

Descriptive Note:

Final rept. 1 Aug 86-28 Feb 87,

Corporate Author:

PROMETHESUS INC SHARON MA

Personal Author(s):

• Byrnes, James S.
• Newman, Donald J.
• Goldstein, Martin

Report Date:

1987-03-23

Pagination or Media Count:

76.0

Abstract:

Concerning adaptive array and null steering applications of polynomials with restricted coefficients, the basic mathematical question to consider in electronic beam steering, with a discrete array consisting of omnidirectional elements spaced at equal increments along a straight line, is how coefficients of a polynomial may be chosen in a robust yet computationally efficient manner so as to arrive at a desired beam pattern. In numerous applications, these coefficients are required to satisfy certain restrictions, such as a bound on their dynamic range. Thus, particularly in null steering, it is often advantageous, or even necessary, for the shading coefficients to all have the same magnitude. Basic properties of such polynomials and their applications to beamforming are described. Keywords Notched fitters, Applied mathematics.

Descriptors:

• *APPLIED MATHEMATICS
• *POLYNOMIALS
• *BEAM STEERING
• ADAPTIVE SYSTEMS
• COEFFICIENTS
• DYNAMIC RANGE
• NULLS(AMPLITUDE)
• OMNIDIRECTIONAL
• SHADOWS
• BEAM FORMING
• PATTERNS
• ARRAYS
• ELECTRON BEAMS
• LIMITATIONS

Subject Categories:

• Numerical Mathematics
• Electrical and Electronic Equipment

Distribution Statement:

APPROVED FOR PUBLIC RELEASE