计算机科学 ›› 2016, Vol. 43 ›› Issue (6): 91-96.doi: 10.11896/j.issn.1002-137X.2016.06.019

• 网络与通信 • 上一篇    下一篇

一种基于矩阵补全的室内指纹定位算法

沙朝恒,肖甫,陈蕾,孙力娟,王汝传   

  1. 南京邮电大学计算机学院 南京210003,南京邮电大学计算机学院 南京210003;江苏省无线传感网高技术研究重点实验室 南京210003;宽带无线通信与传感网技术教育部重点实验室 南京210003,南京邮电大学计算机学院 南京210003;江苏省无线传感网高技术研究重点实验室 南京210003,南京邮电大学计算机学院 南京210003;江苏省无线传感网高技术研究重点实验室 南京210003;宽带无线通信与传感网技术教育部重点实验室 南京210003,南京邮电大学计算机学院 南京210003;江苏省无线传感网高技术研究重点实验室 南京210003;宽带无线通信与传感网技术教育部重点实验室 南京210003
  • 出版日期:2018-12-01 发布日期:2018-12-01
  • 基金资助:
    本文受国家自然科学基金(61373137,7,61373139),江苏省高校自然科学重大项目(14KJA520002),江苏省“六大人才高峰”项目(2013-DZXX-014),江苏省“青蓝工程”项目和江苏省高校优势学科建设工程资助

Fingerprint-based Indoor Localization via Matrix Completion

SHA Chao-heng, XIAO Fu, CHEN Lei, SUN Li-juan and WANG Ru-chuan   

  • Online:2018-12-01 Published:2018-12-01

摘要: 近年来室内定位技术引起了研究者的广泛关注,现有基于信号指纹的室内定位算法需要大量采集指纹数据,且在噪声干扰下易产生较大的定位误差。针对上述问题,提出了一种鲁棒的基于矩阵补全的室内指纹定位算法,其基于信号指纹矩阵的低秩特性,将噪声干扰下的指纹数据恢复问题建模为范数正则化矩阵补全问题;在此基础上引入L1范数和F范数以平滑野值噪声并提高算法的稳定性,最终通过交替方向乘子法和变量分裂技术进行有效求解。实验结果表明,该算法只需进行少量信号指纹数据采集即可较为完整地恢复出指纹库,在各种噪声场景下均能获得高于同类算法的定位精度。

关键词: 室内定位,信号指纹,矩阵补全,野值噪声

Abstract: In recent years,indoor localization technique has attracted widespread attention of researchers.Existing fingerprint-based algorithms require sufficient fingerprint data and are apt to cause big localization error under the interference of noise.To address this challenge,we proposed a robust indoor localization algorithm based on matrix completion,which utilizes the low rank feature of fingerprint matrix to reconstruct the original fingerprint database from a small amount of RSSI fingerprint data.By introducing L1-norm and Frobenius-norm to smooth outlier and enhance algorithm stability,the recovering of fingerprint database with noise is formulated as a norm-regularized matrix completion pro-blem,which can be effectively solved by alternating direction method of multiplier and variable splitting technology.Experiment results demonstrate that this algorithm can recover the complete fingerprint database with a small amount of fingerprint data and achieve higher localization accuracy than similar algorithms under the interference of various types of noise.

Key words: Indoor localization,Fingerprint,Matrix completion,Outlier noise

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