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In the present paper we focus on the coherence properties of general randomEuclidean distance matrices, which are very closely related to the respectivematrix completion problem. This problem is of great interest in severalapplications such as node localization in sensor networks with limitedconnectivity. Our results can directly provide the sufficient conditions underwhich an EDM can be successfully recovered with high probability from a limitednumber of measurements.

On the Coherence Properties of Random Euclidean Distance Matrices