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Joint Power and Subchannel Allocation in Heterogeneous OFDMA Small-Cell Networks

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Architectures of Small-Cell Networks and Interference Management

Part of the book series: SpringerBriefs in Computer Science ((BRIEFSCOMPUTER))

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Abstract

This chapter proposes a joint subchannel and power allocation algorithm for the downlink of an orthogonal frequency-division multiple access (OFDMA) small-cell network. The total throughput of all femtocell user equipments is maximized while the network capacity of an existing macrocell is protected. We employ an iterative approach in which subchannels and transmit powers of base stations are alternatively assigned and optimized at every step. For a fixed power allocation, we prove that the optimal policy in each cell is to give each subchannel to the user with the highest signal-to-interference-plus-noise ratio on that subchannel. For a given subchannel assignment, we adopt the successive convex approximation approach and transform the highly nonconvex power allocation problem into a sequence of convex subproblems. We show that the overall joint subchannel and power allocation algorithm converges to some local maximum of the original design problem.

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Notes

  1. 1.

    A monomial \(\hat{q}(\mathbf{x})\) is defined as \(\hat{q}(\mathbf{x}) = cx_{1}^{\hat{a}_{1}}x_{2}^{\hat{a}_{2}}\ldots x_{n}^{\hat{a}_{n}}\), where c > 0, \(\mathbf{x} = {[x_{1},x_{2},\ldots,x_{n}]}^{T} \in \mathbb{R}_{++}^{n}\), and \(\hat{\mathbf{a}} = {[\hat{a}_{1},\hat{a}_{2},\ldots,\hat{a}_{n}]}^{T} \in {\mathbb{R}}^{n}\). A posynomial is a (nonnegative) sum of monomials [14].

References

  1. G. d. l. Roche, A. Valcarce, D. Lopez-Perez, and J. Zhang, “Access control mechanisms for femtocells,” IEEE Commun. Mag., vol. 48, no. 1, pp. 33–39, Jan. 2010.

    Google Scholar 

  2. M. Yavuz, F. Meshkati, S. Nanda, A. Pokhariyal, N. Johnson, B. Raghothaman, and A. Richardson, “Interference management and performance analysis of UMTS/HSPA+ femtocells,” IEEE Commun. Mag., vol. 47, no. 9, pp. 102–109, Sep. 2009.

    Article  Google Scholar 

  3. J.-H. Yun and K. Shin, “Adaptive interference management of OFDMA femtocells for co-channel deployment,” IEEE J. Select. Areas Commun., vol. 29, no. 6, pp. 1225–1241, Jun. 2011.

    Article  Google Scholar 

  4. D. T. Ngo, L. B. Le, T. Le-Ngoc, E. Hossain, and D. I. Kim, “Distributed interference management in femtocell networks,” in Proc. IEEE Veh. Tech. Conf. (VTC-Fall), San Franciso, CA, Sep. 2011, pp. 1–5.

    Google Scholar 

  5. D. T. Ngo, L. B. Le, T. Le-Ngoc, E. Hossain, and D. I. Kim, “Distributed interference management in two-tier CDMA femtocell networks,” IEEE Trans. Wireless Commun., vol. 11, no. 3, pp. 979–989, Mar. 2012.

    Article  Google Scholar 

  6. D. T. Ngo, L. B. Le, and T. Le-Ngoc, “Distributed Pareto-optimal power control in femtocell networks,” in Proc. IEEE Intl. Symp. on Personal, Indoor and Mobile Radio Commun. (PIMRC), Toronto, ON, Canada, Sep. 2011, pp. 222–226.

    Google Scholar 

  7. D. T. Ngo, L. B. Le, and T. Le-Ngoc, “Joint utility maximization in two-tier networks by distributed Pareto-optimal power control,” in Proc. IEEE Vehicular Technology Conf. (VTC-Fall), Quebec City, QC, Canada, Sep. 2012, pp. 1–5.

    Google Scholar 

  8. D. T. Ngo, L. B. Le, and T. Le-Ngoc, “Distributed Pareto-optimal power control for utility maximization in femtocell networks,” IEEE Trans. Wireless Commun., vol. 11, no. 10, pp. 3434–3446, Oct. 2012.

    Article  Google Scholar 

  9. D. Lopez-Perez, A. Valcarce, G. de la Roche, and J. Zhang, “OFDMA femtocells: A roadmap on interference avoidance,” IEEE Commun. Mag., vol. 47, no. 9, pp. 41–48, Sep. 2009.

    Article  Google Scholar 

  10. N. Saquib, E. Hossain, L. B. Le, and D. I. Kim, “Interference management in OFDMA femtocell networks: Issues and approaches,” IEEE Wirel. Commun., vol. 19, no. 3, pp. 86–95, Jun. 2012.

    Article  Google Scholar 

  11. D. T. Ngo, S. Khakurel, and T. Le-Ngoc, “Distributed subchannel and power allocation for OFDMA-based femtocell networks,” in IEEE Vehicular Technology Conf. (VTC-Spring), Dresden, Germany, Jun. 2013, pp. 1–5.

    Google Scholar 

  12. D. T. Ngo, S. Khakurel, and T. Le-Ngoc, “Joint subchannel assignment and power allocation for OFDMA femtocell networks,” IEEE Trans. Wireless Commun., vol. 13, no. 1, pp. 342–355, Jan. 2014.

    Article  Google Scholar 

  13. B. R. Marks and G. P. Wright, “A general inner approximation algorithm for nonconvex mathematical programs,” Operations Research, vol. 26, no. 4, pp. 681–683, 1978.

    Article  MATH  MathSciNet  Google Scholar 

  14. S. Boyd and L. Vandenberghe, Convex optimization. Cambridge University Press, 2004.

    Google Scholar 

  15. J. Papandriopoulos and J. S. Evans, “SCALE: A low-complexity distributed protocol for spectrum balancing in multiuser DSL networks,” IEEE Trans. Inform. Theory, vol. 55, no. 8, pp. 3711–3724, Aug. 2009.

    Article  MathSciNet  Google Scholar 

  16. H. D. Tuan, S. Hosoe, and H. Tuy, “D.C. optimization approach to robust controls: The optimal scaling value problem,” IEEE Trans. Automatic Control, vol. 45, pp. 1903–1909, Sep. 2000.

    Article  MATH  MathSciNet  Google Scholar 

  17. M. Frank and P. Wolfe, “An algorithm for quadratic programming,” Naval Research Logist. Quart., vol. 3, pp. 95–110, 1956.

    Article  MathSciNet  Google Scholar 

  18. M. Chiang, C. W. Tan, D. P. Palomar, D. O’Neill, and D. Julian, “Power control by geometric programming,” IEEE Trans. Wireless Commun., vol. 6, no. 7, pp. 2640–2651, Jul. 2007.

    Article  Google Scholar 

  19. H. H. Kha, H. D. Tuan, and H. H. Nguyen, “Fast global optimal power allocation in wireless networks by local D.C. programming,” IEEE Trans. Wireless Commun., vol. 11, no. 2, pp. 510–515, Feb. 2012.

    Article  Google Scholar 

  20. L. Venturino, N. Prasad, and X. Wang, “Coordinated scheduling and power allocation in downlink multicell OFDMA networks,” IEEE Trans. Veh. Technol., vol. 58, no. 6, pp. 2835–2848, Jul. 2009.

    Article  Google Scholar 

  21. Y. Liu and E. Knightly, “Opportunistic fair scheduling over multiple wireless channels,” in IEEE INFOCOM, San Francisco, CA, Mar. 2003, pp. 1106–1115.

    Google Scholar 

  22. T. Wang and L. Vandendorpe, “Iterative resource allocation for maximizing weighted sum min-rate in downlink cellular OFDMA systems,” IEEE Trans. Signal Processing, vol. 59, no. 1, pp. 223–234, Jan. 2011.

    Article  MathSciNet  Google Scholar 

  23. K. Son, S. Lee, Y. Yi, and S. Chong, “REFIM: A practical interference management in heterogeneous wireless access networks,” IEEE J. Select. Areas Commun., vol. 29, no. 6, pp. 1260–1272, Jun. 2011.

    Article  Google Scholar 

  24. D. P. Bertsekas, Nonlinear Programming, 2nd ed. Boston: Athena Scientific, 1999.

    MATH  Google Scholar 

  25. P. Hande, S. Rangan, M. Chiang, and X. Wu, “Distributed uplink power control for optimal SIR assignment in cellular data networks,” IEEE/ACM Trans. Netw., vol. 16, no. 6, pp. 1420–1433, Dec. 2008.

    Article  Google Scholar 

  26. V. Chandrasekhar, J. G. Andrews, T. Muharemovic, and Z. Shen, “Power control in two-tier femtocell networks,” IEEE Trans. Wireless Commun., vol. 8, no. 8, pp. 4316–4328, Aug. 2009.

    Article  Google Scholar 

  27. R. Cendrillon, J. Huang, M. Chiang, and M. Moonen, “Autonomous spectrum balancing for digital subscriber lines,” IEEE Trans. Signal Processing, vol. 55, no. 8, pp. 4241–4257, Aug. 2007.

    Article  MathSciNet  Google Scholar 

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Authors and Affiliations

  1. School of Electrical Engineering and Computer Science, University of Newcastle, Callaghan, NSW, Australia

    Duy Trong Ngo

  2. Department of Electrical and Computer Engineering, McGill University, Montreal, QC, Canada

    Tho Le-Ngoc

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  1. Duy Trong Ngo
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  2. Tho Le-Ngoc
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Ngo, D.T., Le-Ngoc, T. (2014). Joint Power and Subchannel Allocation in Heterogeneous OFDMA Small-Cell Networks. In: Architectures of Small-Cell Networks and Interference Management. SpringerBriefs in Computer Science. Springer, Cham. https://doi.org/10.1007/978-3-319-04822-2_5

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  • DOI: https://doi.org/10.1007/978-3-319-04822-2_5

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-04821-5

  • Online ISBN: 978-3-319-04822-2

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