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Related papers: Quaternion Domain Super MDS for 3D Localization

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This paper proposes a novel low-complexity three-dimensional (3D) localization algorithm for wireless sensor networks, termed quanternion-domain super multi-dimensional scaling (QD-SMDS). The algorithm is based on a reformulation of the…

Signal Processing · Electrical Eng. & Systems 2026-05-12 Alessio Lukaj , Keigo Masuoka , Takumi Takahashi , Giuseppe Thadeu Freitas de Abreu , Hideki Ochiai

In the recent years, there has been a huge advancement in wireless sensor computing technology. Today, wireless sensor network (WSN) has become a key technology for different types of smart environment. Nodes localization in WSN has arisen…

Networking and Internet Architecture · Computer Science 2016-06-24 Biljana Risteska Stojkoska

With the recent development of technology, wireless sensor networks (WSN) are becoming an important part of many applications. Knowing the exact location of each sensor in the network is very important issue. Therefore, the localization…

Networking and Internet Architecture · Computer Science 2016-06-27 Biljana Risteska Stojkoska , Vesna Kirandziska

Localization in Wireless Sensor Networks (WSNs) has been a challenging problem in the last decade. The most explored approaches for this purpose are based on multidimensional scaling (MDS) technique. The first algorithm that introduced MDS…

Networking and Internet Architecture · Computer Science 2017-01-23 Biljana Risteska Stojkoska

Multidimensional Scaling (MDS) is one of the most popular methods for dimensionality reduction and visualization of high dimensional data. Apart from these tasks, it also found applications in the field of geometry processing for the…

Computational Geometry · Computer Science 2017-09-12 Amit Boyarski , Alex M. Bronstein , Michael M. Bronstein

Nodes localization in Wireless Sensor Networks (WSN) has arisen as a very challenging problem in the research community. Most of the applications for WSN are not useful without a priori known nodes positions. One solution to the problem is…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-06-27 Biljana Stojkoska , Danco Davcev , Andrea Kulakov

Learning from data in the quaternion domain enables us to exploit internal dependencies of 4D signals and treating them as a single entity. One of the models that perfectly suits with quaternion-valued data processing is represented by 3D…

Audio and Speech Processing · Electrical Eng. & Systems 2022-12-16 Danilo Comminiello , Marco Lella , Simone Scardapane , Aurelio Uncini

The localization problem in a wireless sensor network is to determine the coordination of sensor nodes using the known positions of some nodes (called anchors) and corresponding noisy distance measurements. There is a variety of different…

Optimization and Control · Mathematics 2014-09-19 Pouya Mollaebrahim Ghari , Reza Shahbazian , Seyed Ali Ghorashi

With the recent development of technology, wireless sensor networks are becoming an important part of many applications such as health and medical applications, military applications, agriculture monitoring, home and office applications,…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-06-27 Biljana Stojkoska , Ilinka Ivanoska , Danco Davcev

This letter generalizes the Graph Signal Recovery (GSR) problem in Graph Signal Processing (GSP) to the Quaternion domain. It extends the Quaternion Least Mean Square (QLMS) in adaptive filtering literature, and Graph LMS (GLMS) algorithm…

Signal Processing · Electrical Eng. & Systems 2025-09-24 Hamideh-Sadat Fazael-Ardekani , Hadi Zayyani , Hamid Soltanian-Zadeh

Current and future wireless applications strongly rely on precise real-time localization. A number of applications such as smart cities, Internet of Things (IoT), medical services, automotive industry, underwater exploration, public safety,…

Signal Processing · Electrical Eng. & Systems 2019-06-11 Nasir Saeed , Haewoon Nam , Tareq Y. Al-Naffouri , Mohamed-Slim Alouini

This paper presents a unified framework for robust three-dimensional (3-D) source localization using a network of sensors equipped with one-dimensional (1-D) linear arrays. While such arrays offer practical advantages in terms of cost and…

Signal Processing · Electrical Eng. & Systems 2025-11-12 Ehsan Alamdari , Rouhollah Amiri

Multidimensional scaling (MDS) is a popular dimensionality reduction techniques that has been widely used for network visualization and cooperative localization. However, the traditional stress minimization formulation of MDS necessitates…

Optimization and Control · Mathematics 2016-12-22 Ketan Rajawat , Sandeep Kumar

Multidimensional scaling (MDS) is a family of methods that embed a given set of points into a simple, usually flat, domain. The points are assumed to be sampled from some metric space, and the mapping attempts to preserve the distances…

Computational Geometry · Computer Science 2014-03-05 Yonathan Aflalo , Anastasia Dubrovina , Ron Kimmel

This paper presents a randomized quaternion singular value decomposition (QSVD) algorithm for low-rank matrix approximation problems, which are widely used in color face recognition, video compression, and signal processing problems. With…

Numerical Analysis · Mathematics 2021-12-28 Qiaohua Liu , Sitao Ling , Zhigang Jia

In this paper, we study the three-dimensional (3D) simultaneous localization and mapping (SLAM) problem in complex outdoor and indoor environments based only on millimeter-wave (mmWave) wireless communication signals. Firstly, we propose a…

Signal Processing · Electrical Eng. & Systems 2023-03-07 Zhiyu Mou , Feifei Gao

This paper introduces a Moment-Quaternion-Sum-of-Squares (QSOS) hierarchy for solving a class of quaternion polynomial optimization problems. This hierarchy is formulated directly in the quaternion domain and consists of a sequence of…

Optimization and Control · Mathematics 2026-05-13 Yanqing Liu , Jie Wang

Localizing a cloud of points from noisy measurements of a subset of pairwise distances has applications in various areas, such as sensor network localization and reconstruction of protein conformations from NMR measurements. In [1], Drineas…

Information Theory · Computer Science 2019-05-01 Huan Zhang , Yulong Liu , Hong Lei

Accurate source localization in Multi-Platform Radar Networks (MPRNs) benefits from exploiting both range and angle measurements under robust estimation. In this paper, we propose a robust Euclidean distance matrix (EDM) optimization model…

Signal Processing · Electrical Eng. & Systems 2026-04-20 Mingyu Zhao , Qingna Li , Hou-Duo Qi

In this paper, we propose an efficient range free localization scheme for large scale three dimensional wireless sensor networks. Our system environment consists of two type of sensors, randomly deployed static sensors and global…

Networking and Internet Architecture · Computer Science 2018-01-11 Rajesh Kumar , Sushil Kumar , Diksha Shukla , Ram Shringar Raw
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