Direct Position Determination Using Compressive Sensing Measurements Without Reconstruction
Ming‐Yi You, An-Nan Lu, Yun-Xia Ye, Kai Huang, Caiyi Lou
Abstract
This article proposes a direct position determination (DPD) method for stationary emitters with compressed signal measurements. Employing Hadamard matrix properties, the method estimates the source location directly in the compressing measurement domain, without the step of signal reconstruction and time-differences-of-arrival parameter extraction. In the case of free-space propagation, an augmented DPD method is proposed to further utilize the position-related received signal strength information. In addition, the Cramér–Rao lower bounds for the emitter position of both DPD methods are derived for performance evaluation.
Topics & Concepts
Compressed sensingPosition (finance)Hadamard transformSIGNAL (programming language)AlgorithmSignal reconstructionCommon emitterComputer scienceMatrix (chemical analysis)Cramér–Rao boundFrequency domainSignal processingElectronic engineeringAcousticsMathematicsEstimation theoryComputer visionPhysicsEngineeringMaterials scienceDigital signal processingMathematical analysisProgramming languageEconomicsComposite materialFinanceIndoor and Outdoor Localization TechnologiesSparse and Compressive Sensing TechniquesDistributed Sensor Networks and Detection Algorithms