Beam Synthesis Techniques for Large Circular Arrays with Many Directive Elements.
Technical rept. for 22 Sep 67-22 Sep 68.
SYRACUSE UNIV NY DEPT OF ELECTRICAL ENGINEERING
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A method is developed which permits the synthesis of a pencil beam for a circular array with an arbitrary number of directive elements. A desired pattern specified in both the azimuth and the elevation direction is approximated in the least-mean-square-error sense. The synthesis technique is based upon a theorem which holds for an array of an arbitrary configuration. The procedure is straight forward but requires the inversion of a square matrix whose order depends on the total number of elements in the array. When the number of array elements is large, computation difficulties in the form of excessive storage requirements and error accumulation will arise in the inversion of a large matrix. These difficulties are circumvented by diagonalizing the matrix in question with a unitary matrix composed of the eigenvectors of a rotational operator. The optimum excitations in the array elements can then be determined readily even for a large circular array with many directive elements. Numerical examples are presented to illustrate the procedures and results. Author
- Electrical and Electronic Equipment