Synthesis of Antenna Patterns with Null Constraints,
Abstract
The Gaussian antenna pattern synthesis method is extended to include constraints such as pattern nulls or pattern derivative nulls at a given set of angles. The problem is formulated as a constrained approximation problem which is solved exactly, and a clear geometrical interpretation of the solution is given in a multidimensional vector space. The relation of the present method to those of constrained gain-maximization and signal-noise ratio maximization is discussed and conditions for their equivalence stated. For a linear uniform N-element array, it is shown that when M nulls are imposed on a given 'quiescent' pattern, the optimum solution for the constrained pattern is the initial pattern and a set of M weighted (sin Nx)/sin x-beams. Each beam is centered exactly at the corresponding pattern null, irrespective of its relative location. In addition, simple quantitative expressions are derived for the pattern change and gain cost associated with the forced pattern nulls. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Jan 01, 1981
- Accession Number
- ADA099078
Entities
People
- Hans P. Steyskal
Organizations
- Rome Laboratory