Abstract
Wireless networks are at the heart of telecommunication technology. Energy constrained wireless devices in the high-data-rate communication era are pushing energy efficiency to the top of the priority list for the network design. Improving the throughput without compromising energy efficiency as well as spectrum usage is pivotal for greener wireless networks. This chapter focuses on the Index Coding problem that presents an important class of practical problems in wireless networks. The Index Coding problem opens up a green door for the communication paradigm in wireless networks. This chapter not only provides a comprehensive overview of the Index coding problem abut also presents its mathematical formulation, taxonomy, as well as several solution techniques.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Fragouli, C., Widmer, J., Le Boudec, J.-Y.: Efficient broadcasting using network coding. IEEE/ACM Trans. Netw. 16(2), 450–463 (2008)
Yunnan, W., Chou, P., Kung, S.-Y., et al.: Minimum-energymulticast inmobile ad hoc networks using network coding. IEEE Trans. Commun. 53(11), 1906–1918 (2005)
Nguyen, D., Tran, T., Nguyen, T., Bose, B.: Wireless broadcast using network coding. Vehicular Technology, IEEE Transactions on 58(2), 914–925 (2009)
Lun, D.S., Ratnakar, N., Koetter, R., Médard, M., Ahmed, E., Lee, H.: a decentralized approach based on network coding. In:INFOCOM 2005. Proceedings IEEE 24th Annual Joint Conference of the IEEE Computer and Communications Societies, vol. 3, pp. 1607–1617. IEEE (2005)
Cui, T., Chen, L., Ho, T.: Energy efficient opportunistic network coding for wireless networks. In: INFOCOM 2008. The 27th Conference on Computer Communications. IEEE (2008)
Thai, C.D.T., Popovski, P., Kaneko, M., De Carvalho, E.: Multi-flow scheduling for coordinated direct and relayed users in cellular systems. Communications, IEEE Transactions on 61(2), 669–678 (2013)
Bar-Yossef, Z., Birk, Y., Jayram, T. S., Kol, T.: Index Coding with Side Information. In Proceedings of 47th Annual IEEE Symposium on Foundations of Computer Science, pp. 197–206 (2006)
Birk, Y., Kol, T.: Informed-Source Coding-on-Demand (ISCOD) over Broadcast Channels. In Proceedings of INFOCOM’98, 1998
Lubetzky, E., Stav, U.: Non-linear Index Coding Outperforming the Linear Optimum. In Proceedings of 48th Annual IEEE Symposium on Foundations of Computer Science, pp. 161–168, 2007
Chaudhry, M.A.R., Sprintson, A.: Efficient algorithms for index coding. In Proceedings of INFOCOM Workshop, 2008
Chaudhry, M.A.R., Asad, Z., Sprintson, A., Langberg, M.: Finding sparse solutions for the index coding problem. In 2011 IEEE Global Telecommunications Conference (GLOBECOM 2011), pp. 1–5. IEEE, 2011
Chaudhry, M.A.R., Asad, Z., Sprintson, A., Langberg, M.: On the complementary index coding problem. In Information Theory Proceedings (ISIT), 2011 IEEE International Symposium on, pp. 244–248, July 2011
El Rouayheb, S., Sprintson, A., Georghiades, C.: On the index coding problem and its relation to network coding and matroid theory. Information Theory, IEEE Transactions on 56(7), 3187–3195 (2010)
Effros, M., El Rouayheb, S., Langberg, M.: An equivalence between network coding and index coding. Information Theory, IEEE Transactions on (2015)
Maleki, H., Cadambe, V.R., Jafar, S., et al.: Index coding-an interference alignment perspective. Information Theory, IEEE Transactions on 60(9), 5402–5432 (2014)
Yazdi, S.M., Savari, S., Kramer, G., et al.: Network coding in node-constrained line and star networks. Information Theory, IEEE Transactions on 57(7), 4452–4468 (2011)
Amdouni, I., Adjih, S., Plesse, T.: Network coding in military wireless ad hoc and sensor networks: Experimentation with gardinet. In Military Communications and Information Systems (ICMCIS), 2015 International Conference on, pp. 1–9. IEEE, 2015
Liu, H., Zhang, B., Mouftah, B.T., Shen, X., Ma, J.: Opportunistic routing for wireless ad hoc and sensor networks: Present and future directions. Communications Magazine, IEEE, 47(12), 103–109 (2009)
Li, M., Yang, Z., Lou, W.: Codeon: Cooperative popular content distribution for vehicular networks using symbol level network coding. Selected Areas in Communications, IEEE Journal on 29(1), 223–235 (2011)
Asad, Z., Chaudhry, M.A.R., Malone, D.: Codhoop: A system for optimizing big data processing. In Systems Conference (SysCon), 2015 9th Annual IEEE International, pp. 295–300. IEEE, 2015
Jafar, S., et al.: Topological interference management through index coding. Information Theory, IEEE Transactions on 60(1), 529–568 (2014)
El Rouayheb, S.Y., Chaudhry, M.A.R., Sprintson, A.: On the Minimum Number of Transmissions in Single-Hop Wireless Coding Networks. In Proceedings of IEEE Information Theory Workshop, Lake Tahoe, CA (2007)
Langberg, M., Sprintson, A.: On the Hardness of Approximating the Network Coding Capacity. In the Proceedings of International Symposium on Information Theory (ISIT) 2008
Duh, R., Fürer, M.: Approximation of k-set cover by semi-local optimization. In Proceedings of the twenty-ninth annual ACM symposium on Theory of computing, STOC’97, May 1997
Ong, L., Ho, C.K.: Optimal index codes for a class of multicast networks with receiver side information. In Communications (ICC), 2012 IEEE International Conference on, pp. 2213–2218. IEEE, 2012
Peters, R.: Orthogonal Representations over Finite Fields and the Chromatic Number of Graphs. Combinatorica 16(3), 417–431 (1996)
Chaudhry, M.A.R., Asad, Z., Sprintson, A., Langberg, M.: On the complementary index coding problem. In IEEE International Symposium on Information Theory Proceedings (ISIT), pp. 244–248. IEEE, 2011
Moskewicz, M., Madigan, C., Zhao, Y., Zhang, L., Malik, S.: Chaff: Engineering an Efficient SAT Solver. Las Vegas, NV (2001)
Een, N., Srensson, N.: An Extensible SAT-solver. In Proceedings of 6th International Conference on Theory and Applications of Satisfiability Testing, 2003
Tseitin, G.S.: On the Complexity of Derivation in Propositional Calculus. In: Slisenko, A.O. (ed.) Studies in Constructive Mathematics and Mathematical Logic. Part 2, pp. 115–125. Consultants Bureau, New York (1970)
Karp, R.M.: Reducibility among combinatorial problems. Springer, 1972
Michael, R.G., David, S.J.: Computers and intractability: a guide to the theory of np-completeness., : San Francisco, p. 1979. Freeman, LA (1979)
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2016 Springer International Publishing Switzerland
About this chapter
Cite this chapter
Chaudhry, M.A.R., Asad, Z. (2016). Index Coding: A Greener Door for Wireless Networks. In: Shakir, M.Z., Imran, M.A., A. Qaraqe, K., Alouini, MS., V. Vasilakos, A. (eds) Energy Management in Wireless Cellular and Ad-hoc Networks. Studies in Systems, Decision and Control, vol 50. Springer, Cham. https://doi.org/10.1007/978-3-319-27568-0_18
Download citation
DOI: https://doi.org/10.1007/978-3-319-27568-0_18
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-27566-6
Online ISBN: 978-3-319-27568-0
eBook Packages: EngineeringEngineering (R0)