Abstract
This paper presents a new design methodology of planar coprime sensor arrays, based on the theory of ideal lattices. In quadratic fields, a prime p that completely splits can be decomposed into the product of two distinct prime ideals, which give rise to the two sparse subarrays. The difference coarray enjoys a quadratic gain in the degrees of freedom (DOFs), thanks to the Chinese Remainder Theorem (CRT) over rings. The ring of Gaussian integers and ring of Eisenstein integers are considered. With Eisenstein integers, our design yields a difference coarray that is a subset of the hexagonal lattice, offering a 15.5% gain in DOFs over the rectangular lattice, given the same physical area of the array.
Published Version
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