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A Theoretical Analysis Based on Kullback-Leibler Divergence in Sampling Size for WiFi Fingerprint-based Localization

Published: 06 June 2021 Publication History

Abstract

Currently, WiFi-based infrastructure and equipment are ubiquitous, which makes it promising to develop and deploy WiFi-based indoor positioning systems, such as the most popular WiFi fingerprint-based location technology. This paper discusses one of the key problems in WiFi fingerprint-based localization, namely how to sample a sufficient number of received signal strength (RSS) measurements during the offline site survey. To this end, the Kullback-Leibler Divergence (KLD) between two Gaussian distributions is proposed and is then extended to real distribution and the sampling distribution. The expected KLD between the true distribution and the sampling distribution is formulated by Central Limit Theorem. The theoretical analysis reveals that the KLD is only related to the number of samples, and decreases with the number of samples. Extensive simulations and experiments are conducted and confirm the effectiveness of this study.

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Cited By

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  • (2022)Optimal Sampling Interval Acquisition Method for WiFi Fingerprint-Based Localization Based on Monte Carlo Method and Multi-objective Optimization2022 3rd Information Communication Technologies Conference (ICTC)10.1109/ICTC55111.2022.9778385(97-102)Online publication date: 6-May-2022
  • (2022)KLDLoc: A WiFi Fingerprint-based Localization Method Based on Kullback-Leibler Divergence2022 5th International Conference on Communication Engineering and Technology (ICCET)10.1109/ICCET55794.2022.00018(54-58)Online publication date: Feb-2022

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cover image ACM Other conferences
ICCBN '21: Proceedings of the 2021 9th International Conference on Communications and Broadband Networking
February 2021
342 pages
ISBN:9781450389174
DOI:10.1145/3456415
Permission to make digital or hard copies of all or part of this work for personal or classroom use is granted without fee provided that copies are not made or distributed for profit or commercial advantage and that copies bear this notice and the full citation on the first page. Copyrights for components of this work owned by others than ACM must be honored. Abstracting with credit is permitted. To copy otherwise, or republish, to post on servers or to redistribute to lists, requires prior specific permission and/or a fee. Request permissions from [email protected]

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Published: 06 June 2021

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Author Tags

  1. Kullback-Leibler Divergence
  2. Sample Size,
  3. WiFi Fingerprint-based Localization

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View all
  • (2022)Optimal Sampling Interval Acquisition Method for WiFi Fingerprint-Based Localization Based on Monte Carlo Method and Multi-objective Optimization2022 3rd Information Communication Technologies Conference (ICTC)10.1109/ICTC55111.2022.9778385(97-102)Online publication date: 6-May-2022
  • (2022)KLDLoc: A WiFi Fingerprint-based Localization Method Based on Kullback-Leibler Divergence2022 5th International Conference on Communication Engineering and Technology (ICCET)10.1109/ICCET55794.2022.00018(54-58)Online publication date: Feb-2022

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