2025/04/24 by Keigo Masuoka, Masuoka, Keigo, Takumi Takahashi +5 · 1 citation
Computer Science · Engineering · #Direction-of-Arrival Estimation Techniques #FOS: Computer and information sciences #FOS: Electrical engineering #FOS: Mathematics #Indoor and Outdoor Localization Technologies #Metric Geometry (math.MG) #Robotics (cs.RO) #Robotics and Sensor-Based Localization #Signal Processing (eess.SP) #electronic engineering #information engineering
paper · pdf · doi:10.48550/arxiv.2504.17890
openalex publication_date 2025/04/24 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We propose a novel low-complexity three-dimensional (3D) localization algorithm for wireless sensor networks, termed quaternion-domain super multidimensional scaling (QD-SMDS). This algorithm reformulates the conventional SMDS, which was originally developed in the real domain, into the quaternion domain. By representing 3D coordinates as quaternions, the method enables the construction of a rank-1 Gram edge kernel (GEK) matrix that integrates both relative distance and angular (phase) information between nodes, maximizing the noise reduction effect achieved through low-rank truncation via singular value decomposition (SVD). The simulation results indicate that the proposed method demonstrates a notable enhancement in localization accuracy relative to the conventional SMDS algorithm, particularly in scenarios characterized by substantial measurement errors.