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Randomized Graph Coloring Algorithm for Physical Cell ID Assignment in LTE-A Femtocellular Networks

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Abstract

Rising demand of higher data rates and large coverage, becomes the need of femtocell in Long Term Evolution-Advanced (LTE-A) networks. However, deployment of large number of femtocells make network configuration complex. In order to make network communication and handover efficient, every femtocell should have unique Physical Cell ID (PCID) in such a way that collision and confusion constraints can be satisfied. Moreover, when a new femtocell deployed in the network i.e. for incremental network growth, valid PCID assignment becomes more challenging task because it causes a service interruption in the network and needs a lot of computation to correct it. Network complexity and computational cost are main problem of PCIDs allocation in LTE-A femtocellular system. To solve the above problem efficiently and accommodate maximum number of femtocells within 504 available PCIDs for LTE-A femtocellular system, we model PCID allocation problem with random graph coloring problem. We applied Bernoulli random graph model to model deployment scenarios of femtocells whereas, to allocate PCIDs efficiently we proposed graph coloring based PCIDs allocation scheme. Our proposed scheme gives 16 % efficient result (more number of femtocells) than existing work, even in the complex femtocellular networks as well as well-formed in the case of incremental network growth as pointed out in simulation analysis. Since, our proposed algorithmic model does not depend on radio measurements so it gives guaranty that this scheme will terminate with valid PCIDs allocation if it is possible.

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Authors and Affiliations

  1. Department of Computer Science and Engineering, Indian Institute of Technology, Patna, India

    Ajay Pratap, Rajiv Misra & Utkarsh Gupta

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  1. Ajay Pratap
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  2. Rajiv Misra
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  3. Utkarsh Gupta
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Correspondence to Ajay Pratap.

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Pratap, A., Misra, R. & Gupta, U. Randomized Graph Coloring Algorithm for Physical Cell ID Assignment in LTE-A Femtocellular Networks. Wireless Pers Commun 91, 1213–1235 (2016). https://doi.org/10.1007/s11277-016-3522-3

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