Characterization of Range for Smart Home Sensors Using Tsallis’ Entropy Framework

  • Sujit Bebortta
  • Amit Kumar Singh
  • Surajit Mohanty
  • Dilip SenapatiEmail author
Conference paper
Part of the Advances in Intelligent Systems and Computing book series (AISC, volume 1089)


The deployment of sensor nodes (SNs) in smart homes induces multipath transmission of signals in indoor environments (IEs). These paths occur due to the presence of household utility objects, which produce several reflected communication paths between the sender and the receiver. In order to determine the effective position of a target SN in a wireless sensor network (WSN), certain localization schemes are required in conjunction with trilateration methods. Therefore, it is worthwhile to estimate the uncertainties in the range for time of arrival (TOA) localization of SNs subjected to non-line of sight (NLOS) conditions. In this article, we provide a technique to characterize the variations in the range corresponding to the TOA based on the well-known Tsallis’ entropy framework. In this model, the non-extensive parameter q characterizes the variations in the localization range caused due to multipath components. In this context, we optimize the Tsallis entropy subject to the two moment constraints (i.e., mean and variance) along with the normalization constraint. Our proposed model is in excellent agreement with the synthetic data in contrast to the mixture model. This paper also provides a new approach for estimating the parameters corresponding to the mixture model and the proposed \(q-\)Gaussian model by minimizing the Jensen–Shannon (JS) symmetric measure between the two models and the synthetic data.


\(q-\)Gaussian distribution Tsallis entropy Mixture model Wireless sensor networks Localization JS measure 


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Copyright information

© Springer Nature Singapore Pte Ltd. 2020

Authors and Affiliations

  • Sujit Bebortta
    • 1
  • Amit Kumar Singh
    • 2
  • Surajit Mohanty
    • 3
  • Dilip Senapati
    • 1
    Email author
  1. 1.Department of Computer Science Ravenshaw UniversityCuttackIndia
  2. 2.Department of Computer Science Ramanujan CollegeUniversity of DelhiNew DelhiIndia
  3. 3.Department of Computer Science and Engineering DRIEMS TangiCuttackIndia

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