Convex Optimization
Exact and Approximate Solutions of Source Localization Problems
IEEE Transactions on Signal Processing
A New TwIST: Two-Step Iterative Shrinkage/Thresholding Algorithms for Image Restoration
IEEE Transactions on Image Processing
IEEE Transactions on Signal Processing
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This paper examines range-based localization techniques for single and multiple high-frequency underwater acoustic sources, such as those used in underwater communication systems. The emphasis is on developing flexible methods that accept range data from different origins and assimilate them into desired position estimates using compact optimization-based formulations that can scale to large problem sizes and require little or no prior information on the geometries of the acoustic links. The paper discusses how multipath information can be used for single-source localization, and how pairwise range measurements between network nodes can be used to jointly recover their relative positions through factorization of Euclidean distance matrices.