Next Article in Journal
On Some New Multivalued Results in the Metric Spaces of Perov’s Type
Previous Article in Journal
Decomposition and Arrow-Like Aggregation of Fuzzy Preferences
Open AccessArticle

Singular Value Thresholding Algorithm for Wireless Sensor Network Localization

1
Department of Fundamental and Applied Sciences, Universiti Teknologi PETRONAS, Seri Iskandar 32610, Perak Darul Ridzuan, Malaysia
2
Department of Electrical and Electronic Engineering, Universiti Teknologi PETRONAS, Seri Iskandar 32610, Perak Darul Ridzuan, Malaysia
*
Author to whom correspondence should be addressed.
Mathematics 2020, 8(3), 437; https://doi.org/10.3390/math8030437
Received: 31 December 2019 / Revised: 10 February 2020 / Accepted: 11 February 2020 / Published: 17 March 2020
Wireless Sensor Networks (WSN) are of great current interest in the proliferation of technologies. Since the location of the sensors is one of the most interesting issues in WSN, the process of node localization is crucial for any WSN-based applications. Subsequently, WSN’s node estimation deals with a low-rank matrix which gives rise to the application of the Nuclear Norm Minimization (NNM) method. This paper will focus on the localization of 2-dimensional WSN with objects (obstacles). Recent studies introduce Nuclear Norm Minimization (NNM) for node estimation instead of formulating the rank minimization problem. Common way to tackle this problem is by implementing the Semidefinite Programming (SDP). However, SDP can only handle matrices with a size of less than 100 × 100. Therefore, we introduce the method of Singular Value Thresholding (SVT) which is an iterative algorithm to solve the NNM problem that produces a sequence of matrices { X k , Y k } and executes a soft-thresholding operation on the singular value of the matrix Y k . This algorithm is a user-friendly algorithm which produces a low computational cost with low storage capacity required to give the lowest-rank minimum nuclear norm solution. View Full-Text
Keywords: Wireless Sensor Network; node estimation; node localization; Nuclear Norm Minimization; singular value thresholding Wireless Sensor Network; node estimation; node localization; Nuclear Norm Minimization; singular value thresholding
Show Figures

Figure 1

MDPI and ACS Style

Ahmad Najib, Y.N.; Daud, H.; Abd Aziz, A. Singular Value Thresholding Algorithm for Wireless Sensor Network Localization. Mathematics 2020, 8, 437.

Show more citation formats Show less citations formats
Note that from the first issue of 2016, MDPI journals use article numbers instead of page numbers. See further details here.

Article Access Map by Country/Region

1
Back to TopTop