Multiple source localization with moving co-prime arrays

In this paper, we explore the use of temporal signal coherence to increase the degrees of freedom in a non-uniform under-sampled linear moving array. In particular, we develop bounds on the minimum Temporal-Coherence-Period (TCP) required to synthetically fill-in missing inter-element sensors in a moving array system. In addition, we show how an existing technique that exploits properties of the sensor co-array can be used to overcome positive-definite deficiency in the spatial covariance matrix estimate derived from the synthetic sensor array. This type of synthetic aperture processing facilitates the localization of a number of far-field sources on the order of the number of half-wavelength sensor spacings over the array aperture, rather than on the number of sensors present in the sparse array.