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The sparse nature of location finding problem makes the theory of compressive sensing desirable for indoor positioning in Wireless Local Area Networks (WLANs). In this paper, the authors address the Received Signal Strength (RSS)-based localization problem in WLANs using the theory of Compressive Sensing (CS), which offers accurate recovery of sparse signals from a small number of measurements by solving a ??"1-minimization problem. A pre-processing procedure of orthogonalization is used to induce incoherence needed in the CS theory.
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