Generalized coprime array configurations

A coprime array consists of two uniform linear subarrays that con-struct an effective difference co-array with certain desirable char-acteristics. In this paper, we propose a generalized coprime array concept through the compression of the interelement spacing of one constituting subarray. As such, the existing variations of coprime ar-ray and nested array structures are represented as special cases. The achievable unique lags as well as consecutive lags in the resulting virtual array are analytically expressed, and the direction-of-arrival estimation performance is examined using both the MUSIC algo-rithm and sparse signal reconstruction techniques. Index Terms — Coprime array, sparse array, difference co-array, direction-of-arrival estimation, compressive sensing 1