Title :
On the coherence properties of random Euclidean distance matrices
Author :
Kalogerias, Dionysios S. ; Petropulu, Athina P.
Author_Institution :
Dept. of Electr. & Comput. Eng., State Univ. of New Jersey, New Brunswick, NJ, USA
Abstract :
In the present paper we focus on the coherence properties of general random Euclidean distance matrices, which are very closely related to the respective matrix completion problem. This problem is of great interest in several applications such as node localization in sensor networks with limited connectivity. Our results can directly provide the sufficient conditions under which an EDM can be successfully recovered with high probability from a limited number of measurements.
Keywords :
geometry; matrix algebra; probability; wireless sensor networks; EDM; coherence properties; general random Euclidean distance matrices; matrix completion problem; node localization; sensor networks; Coherence; Conferences; Eigenvalues and eigenfunctions; Euclidean distance; Signal processing; Symmetric matrices; Wireless communication; Limited Connectivity; Matrix Completion; Random Euclidean Distance Matrices; Subspace Coherence;
Conference_Titel :
Signal Processing Advances in Wireless Communications (SPAWC), 2013 IEEE 14th Workshop on
Conference_Location :
Darmstadt
DOI :
10.1109/SPAWC.2013.6612151
