Abstract

With the continuous expansion of the market of device-free localization in smart cities, the requirements of device-free localization technology are becoming higher and higher. The large amount of high-dimensional data generated by the existing device-free localization technology will improve the positioning accuracy as well as increase the positioning time and complexity. The positions required from single target to multi-targets become a further increasing difficulty for device-free localization. In order to satisfy the practical localizing application in smart city, an efficient multi-target device-free localization method is proposed based on a sparse coding model. To accelerate the positioning as well as improve the localization accuracy, a sparse coding-based iterative shrinkage threshold algorithm (SC-IA) is proposed and a subspace sparse coding-based iterative shrinkage threshold algorithm (SSC-IA) is presented for different practical application requirements. Experiments with practical dataset are performed for single-target and multi-targets localization, respectively. Compared with three typical machine learning algorithms: deep learning based on auto encoder, K-nearest neighbor, and orthogonal matching pursuit, experimental results show that the proposed sparse coding-based iterative shrinkage threshold algorithm and subspace sparse coding-based iterative shrinkage threshold algorithm can achieve high localization accuracy and low time cost simultaneously, so as to be more practical and applicable for the development of smart city.

Highlights

  • Smart cities intelligently respond to the needs of life, environmental protection, public safety, urban services, and industrial and commercial activities by using information and communication technologies to perceive, analyze, and integrate key information from core urban operating systems.[1]

  • After singular value decomposition (SVD) is performed on all the total K sample matrices, the semi-transform matrix U can be obtained as equation (22), which is constituted by the eigenvectors related to the maximum eigenvalues of all reference point (RP)

  • Considering the accuracy requirement on Device-free localization (DFL) for multi-targets, a sparse coding model and a sparse coding method based on iterative shrinkage threshold algorithm (SC-Iterative-shrinkage-threshold Algorithm (IA)) are proposed in this article

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Summary

Introduction

Smart cities intelligently respond to the needs of life, environmental protection, public safety, urban services, and industrial and commercial activities by using information and communication technologies to perceive, analyze, and integrate key information from core urban operating systems.[1]. Based on the aforementioned algorithms, for the purpose of practical application in smart city, an efficient multi-target DFL model is proposed based on sparse representation. After the models being established, the proposed EMDL method can be performed by two phases: (1) the dictionary constructing phase and (2) the unknown target detecting and localizing phase. Direct sparse metric is implemented by the l0-norm (the l0-norm refers to the number of non-zero elements in the vector), and the sparsest solution of equation (8) can be obtained by solving the optimization problem of the following l0-norm equation (9). Inspired by subspace techniques used in dimensionality reduction[34] and denoising,[35] a new dictionary will

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