Abstract
A method for construction of filled phased antenna arrays (PAAs) by placing thinned arrays with elements whose positions are coded in a lattice of nodes (PAA-Cs) at equidistant nodes of the same lattice with the use of the properties of prime and composite number moduli p is proposed. It is shown that, for moduli p satisfying certain conditions, it is possible to fill asymptotically one-half of the lattice nodes with elements of different PAA-Cs constructed from all primitive roots of a particular modulus p so that the elements of different PAA-Cs coincide at only two lattice nodes. Conditions for prime modulus p and the number of corresponding primitive roots as well as all values of modulus p up to 1000 satisfying these conditions are presented. For several values from this number set, examples of the arrangement of the elements of all PAA-Cs in a lattice of equidistant nodes are given. For these configurations, resulting patterns of receiving PAAs in which the pattern is formed after amplifiers (receiving active PAAs) are calculated.
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