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Characterizing Time-Dependent Variance and Coefficient of Variation of SIR in D2D Connectivity

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Part of the book series: Lecture Notes in Computer Science ((LNCCN,volume 10531))

Abstract

Attempting to build a uniform theory of mobility-dependent characterization of wireless communications systems, in this paper, we address time-dependent analysis of the signal-to-interference ratio (SIR) in device-to-device (D2D) communications scenario. We first introduce a general kinetic-based mobility model capable of representing the movement process of users with a wide range of mobility characteristics including conventional, fractal and even non-stationary ones. We then derive the time-dependent evolution of mean, variance and coefficient of variation of SIR metric. We demonstrate that under non-stationary mobility behavior of communicating entities the SIR may surprisingly exhibit stationary behavior.

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Acknowledgement

The publication was financially supported by the Ministry of Education and Science of the Russian Federation (the Agreement number 02.a03.21.0008) and by RFBR (research projects Nos. 15-07-03051, 17-07-00845).

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Correspondence to Andrey Samouylov .

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Ivchenko, A., Orlov, Y., Samouylov, A., Molchanov, D., Gaidamaka, Y. (2017). Characterizing Time-Dependent Variance and Coefficient of Variation of SIR in D2D Connectivity. In: Galinina, O., Andreev, S., Balandin, S., Koucheryavy, Y. (eds) Internet of Things, Smart Spaces, and Next Generation Networks and Systems. ruSMART NsCC NEW2AN 2017 2017 2017. Lecture Notes in Computer Science(), vol 10531. Springer, Cham. https://doi.org/10.1007/978-3-319-67380-6_49

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  • DOI: https://doi.org/10.1007/978-3-319-67380-6_49

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-67379-0

  • Online ISBN: 978-3-319-67380-6

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