Local large deviation principle, large deviation principle and information theory for the signal-to-interference-plus-noise ratio graph models

References

• AlAmmouri, A., Andrews, J. G., and Baccelli, F. (2017). Sinr and throughput of dense cellular networks with stretched exponential path loss. IEEE Transactions on Wireless Communications, 17(2):1147–1160. doi: 10.1109/TWC.2017.2776905
   Web of Science ®Google Scholar
• Andrews, M. and Dinitz, M. (2009). Maximizing capacity in arbitrary wireless networks in the sinr model: Complexity and game theory. In IEEE INFOCOM 2009, pages 1332–1340. IEEE.
   Google Scholar
• Biggins, J. D. (2004). Large deviations for mixtures In Electron. Comm. Probab. 9 60-71 doi: 10.1214/ECP.v9-1106
   Web of Science ®Google Scholar
• Bakshi, M., Jaumard, B., and Narayanan, L. (2017). Optimal aggregated convergecast scheduling with an sinr interference model. In 2017 IEEE 13th International Conference on Wireless and Mobile Computing, Networking and Communications (WiMob), pages 1–8. IEEE.
   Google Scholar
• Bangerter, B., Talwar, S., Arefi, R., and Stewart, K. (2014). Networks and devices for the 5g era. IEEE Communications Magazine, 52(2):90–96. doi: 10.1109/MCOM.2014.6736748
   Web of Science ®Google Scholar
• Behzad, A. and Rubin, I. (2003). On the performance of graph-based scheduling algorithms for packet radio networks. In GLOBECOM’03. IEEE Global Telecommunications Conference (IEEE Cat. No. 03CH37489), volume 6, pages 3432–3436. IEEE.
   Google Scholar
• Doku-Amponsah, K. (2017). Local large deviations: Mcmillian theorem for multitype galton-watson processes. Far East J. of Mathematical Sciences (FJMS) 102(10), pp.2307-2319.
   Google Scholar
• Doku-Amponsah, K. (2017). Local Large deviation: A McMillian Theorem for Coloured Random Graph Processes. Journal of Mathematics and Statistics 13(4) (2017) 347-352.
   Google Scholar
• Doku-Amponsah, K. (2019). Lossy asymptotic equipartition property for geometric networked data structures. Journal of Information and Optimization Sciences, 40:6, 1211-1219. doi: 10.1080/02522667.2018.1424090
   Web of Science ®Google Scholar
• Doku-Amponsah, K. and Moeters. P. (2010). Large deviation principle for empirical measures of coloured random graphs. Ann. Appl. Prob. 20(6), 1089-2021. doi: 10.1214/09-AAP647
   Web of Science ®Google Scholar
• Dembo, A. J. and Zetouni, O. (1998). Large deviation Techniques and Applications. Springer, New, York.
   Google Scholar
• Ganesh, A. J. and Torrisi, G. L. (2008). Large deviations of the in- terference in a wireless communication model. IEEE Transactions on Information Theory, 54(8):3505–3517. doi: 10.1109/TIT.2008.926304
   Web of Science ®Google Scholar
• Grönkvist, J. and Hansson, A. (2001). Comparison between graph- based and interference-based stdma scheduling. In Proceedings of the 2nd ACM international symposium on Mobile ad hoc networking & com- puting, pages 255–258. ACM.
   Google Scholar
• Gupta, P. and Kumar, P. R. (2000). The capacity of wireless networks. IEEE Transactions on information theory, 46(2):388–404. doi: 10.1109/18.825799
   Web of Science ®Google Scholar
• Jeske, D. R. and Sampath, A. (2004). Signal-to-interference-plus-noise ratio estimation for wireless communication systems: Methods and analysis. Naval Research Logistics (NRL), 51(5):720–740. doi: 10.1002/nav.20022
   Web of Science ®Google Scholar
• Li, P., Paul, D., Narasimhan, R., and Cioffi, J. (2006). On the distribution of sinr for the mmse mimo receiver and performance analysis. IEEE Transactions on Information Theory, 52(1):271–286. doi: 10.1109/TIT.2005.860466
   Web of Science ®Google Scholar
• Luo, Y., Shi, Z., Bu, F., and Xiong, J. (2019). Joint optimization of area spectral efficiency and energy efficiency for two-tier heterogeneous ultra-dense networks. IEEE Access, 7:12073–12086. doi: 10.1109/ACCESS.2019.2891551
   Google Scholar
• Manesh, M. R. and Kaabouch, N. (2017). Interference modeling in cognitive radio networks: A survey. arXiv preprint arXiv:1707.09391.
   Google Scholar
• Oehmann, D., Awada, A., Viering, I., Simsek, M., and Fettweis, G. P. (2015). Sinr model with best server association for high availability studies of wireless networks. IEEE Wireless Communications Letters, 5(1):60–63. doi: 10.1109/LWC.2015.2495303
   Web of Science ®Google Scholar
• Santi, P., Maheshwari, R., Resta, G., Das, S., and Blough, D. M. (2009). Wireless link scheduling under a graded sinr interference model. In Proceedings of the 2nd ACM international workshop on Foundations of wireless ad hoc and sensor networking and computing, pages 3–12. ACM.
   Google Scholar