Sparse Symmetric Linear Arrays With Low Redundancy and a Contiguous Sum Co-Array

Sparse arrays can resolve significantly more scatterers or sources than sensor by utilizing the co-array - a virtual array structure consisting of pairwise differences sums positions. Although several sparse configurations have been developed for passive sensing applications, far fewer active designs exist. In sensing, sum is typically relevant difference co-array, especially when are fully coherent. This paper proposes general symmetric configuration suitable both and sensing. We first derive necessary sufficient conditions this to be contiguous. then study two specific instances based on Nested Kløve-Mossige basis, respectively. particular, we establish relationship between minimum-redundancy solutions resulting configurations, previously proposed Concatenated Array (CNA) Kløve (KA). Both CNA KA closed-form expressions positions, which means that they easily generated any desired size. The structures also achieve low redundancy, contiguous allows resolving vastly sensors.