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Open AccessArticle

Direct Position Determination of Unknown Signals in the Presence of Multipath Propagation

National Digital Switching System Engineering and Technological Research Center, Zhengzhou 450002, China
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Sensors 2018, 18(3), 892; https://doi.org/10.3390/s18030892
Received: 22 February 2018 / Revised: 13 March 2018 / Accepted: 15 March 2018 / Published: 17 March 2018
(This article belongs to the Special Issue Sensor Fusion and Novel Technologies in Positioning and Navigation)
A novel geolocation architecture, termed “Multiple Transponders and Multiple Receivers for Multiple Emitters Positioning System (MTRE)” is proposed in this paper. Existing Direct Position Determination (DPD) methods take advantage of a rather simple channel assumption (line of sight channels with complex path attenuations) and a simplified MUltiple SIgnal Classification (MUSIC) algorithm cost function to avoid the high dimension searching. We point out that the simplified assumption and cost function reduce the positioning accuracy because of the singularity of the array manifold in a multi-path environment. We present a DPD model for unknown signals in the presence of Multi-path Propagation (MP-DPD) in this paper. MP-DPD adds non-negative real path attenuation constraints to avoid the mistake caused by the singularity of the array manifold. The Multi-path Propagation MUSIC (MP-MUSIC) method and the Active Set Algorithm (ASA) are designed to reduce the dimension of searching. A Multi-path Propagation Maximum Likelihood (MP-ML) method is proposed in addition to overcome the limitation of MP-MUSIC in the sense of a time-sensitive application. An iterative algorithm and an approach of initial value setting are given to make the MP-ML time consumption acceptable. Numerical results validate the performances improvement of MP-MUSIC and MP-ML. A closed form of the Cramér–Rao Lower Bound (CRLB) is derived as a benchmark to evaluate the performances of MP-MUSIC and MP-ML. View Full-Text
Keywords: direct position determination; MUSIC algorithm; maximum likelihood estimation; convex QP; multi-path geolocation; active set algorithm direct position determination; MUSIC algorithm; maximum likelihood estimation; convex QP; multi-path geolocation; active set algorithm
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Du, J.; Wang, D.; Yu, W.; Yu, H. Direct Position Determination of Unknown Signals in the Presence of Multipath Propagation. Sensors 2018, 18, 892.

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