A quasi-stationary markov chain model of a cooperative multi-hop linear network

IEEE Transactions on Wireless Communications

Volumn 10, Issue 7, 2011, Pages 2306-2315

  Hassan, Syed Ali ^a   Ingram, Mary Ann ^a  

^a GEORGIA INSTITUTE OF TECHNOLOGY   (United States)

Author keywords

cooperative transmission; quasi stationary Markov chains; Stochastic modeling; wireless network

Indexed keywords

COOPERATIVE TRANSMISSION; DECODE AND FORWARD; EIGEN-VALUE; HIGH-RELIABILITY; HOP DISTANCE; HORIZONTAL GRID; LARGE ARRAYS; LOW-LATENCY; MARKOV CHAIN; MARKOV CHAIN MODELS; MATRIX; MULTIHOP; NETWORK TOPOLOGY; PATH LOSS; PERRON-FROBENIUS; POTENTIAL APPLICATIONS; QUASI-STATIONARY; RECEIVED POWER; SIGNAL TO NOISE; STOCHASTIC MODELING; TRANSITION PROBABILITY MATRIX; TRANSMIT POWER; UNICASTING; WIRELESS MULTI-HOP;

EIGENVALUES AND EIGENFUNCTIONS; ELECTRIC NETWORK TOPOLOGY; ELECTRIC POWER TRANSMISSION; LINEAR NETWORKS; PROBABILITY DISTRIBUTIONS; RAYLEIGH FADING; SIGNAL TO NOISE RATIO; STOCHASTIC SYSTEMS; WIRELESS SENSOR NETWORKS;

MARKOV PROCESSES;

EID: 79960563988     PISSN: 15361276     EISSN: None     Source Type: Journal    
DOI: 10.1109/TWC.2011.041311.101594     Document Type: Article

References (21)

1. A. Scaglione and Y. W. Hong, "Opportunistic large arrays: Cooperative transmission in wireless multi-hop ad hoc networks to reach far distances," IEEE Trans. Signal Process., vol. 51, no. 8, pp. 2082-92, Aug. 2003.
2. Y. J. Chang and M. A. Ingram, "Cluster transmission time synchronization for cooperative transmission using software defined radio," in IEEE (ICC) Workshop on Cooperative and Cognitive Mobile Networks (CoCoNet3), May 2010.
3. T. R. Halfold and K. M. Chugg, "Barrage relay networks," in Information Theory and Applications Workshop, Feb. 2010.
4. Z. Gao, Y. J. Chang, and M. A. Ingram, "Synchronization for cascaded distributed MIMO communications," in Proc. Military Commun. Conf., Nov. 2010.
5. A. Kailas and M. A. Ingram, "Alternating opportunistic large arrays in broadcasting for network lifetime extension," IEEE Trans. Wireless Commun., vol. 8, no. 6, pp. 2831-2835, June 2009.
6. D. De Caneva, P. L. Montessoro, and D. Pierattoni, "WiWi: Deterministic and fault tolerant wireless communication over a strip of pervasive devices," in Proc. 4th IEEE Wireless Commun., Networking, and Mobile Computing Conf., Oct. 2008.
7. J. N. Laneman, D. N. C. Tse, and G.W.Wornell, "Cooperative diversity in wireless networks: Efficient protocols and outage behavior," IEEE Trans. Inf. Theory, vol. 50, pp. 3062-3080, Dec. 2004.
8. S. A. Hassan, Y.G. Li, P. S. S. Wang, andM. Green, "A full rate dual relay cooperative approach for wireless systems," J. Commun. and Networks, vol. 12, no. 5, pp. 442-448, Oct. 2010.
9. G. Jakllari, S. V. Krishnamurthy, M. Faloutsos, and P. Krishnamurthy, "On broadcasting with cooperative diversity in multi-hop wireless networks," IEEE J. Sel. Areas Commun., vol. 25, no. 2, Feb. 2007.
10. B. S. Mergen, A. Scaglione, and G. Mergen, "Asymptotic analysis of multi-stage cooperative broadcast in wireless networks," IEEE Trans. Inf. Theory, vol. 52, no. 6, pp. 2531-2550, June 2006. (Pubitemid 43898907)
11. B. S. Mergen and A. Scaglione, "A continuum approach to dense wireless networks with cooperation," in Proc. IEEE INFOCOM, pp. 2755-2763, Mar. 2005. (Pubitemid 41382388)
12. A. Kailas and M. A. Ingram, "Analysis of a simple recruiting method for cooperative routes and strip networks," IEEE Trans. Wireless Commun., vol. 9, no. 8, pp. 2415-2419, Aug. 2010.
13. Y. J. Chang, H. Jung, and M. A. Ingram, "Demonstration of an OLAbased cooperative routing protocol in an indoor environment," in Proc. 17th European Wireless Conf., Apr. 2011.
14. J. N. Darroch and E. Seneta, "On quasi-stationary distributions in absorbing discrete-time finite Markov chains," J. Applied Probability, vol. 2, no. 1, pp. 88-100, June 1965.
15. E. A. van Doorn and P. K. Pollett, "Quasi-stationary distributions for reducible absorbing Markov chains in discrete time," J. Markov Processes and Related Fields, vol. 15, no. 2, pp. 191-204, 2009.
16. S. M. Ross, Introduction to Probability Models, 9th edition. Academic Press, 2007.
17. C. D. Meyer, Matrix Analysis and Applied Linear Algebra. SIAM Publishers, 2001.
18. P. Chanchana, "An algorithm for computing the Perron root of a nonnegative irreducible matrix," Ph.D. dissertation, North Carolina State University, Raleigh, 2007.
19. E. Senta, Non-Negative Matrices and Markov Chains, 2nd edition. Springer, 2006.
20. S. Bohacek, "Achievable performance improvements provided by cooperative diversity," in Proc. 4th Intl. Symposium on Modeling and Optimization in Mobile, Ad Hoc, and Wireless Networks, Aug. 2006.
21. S. Bohacek, "Performance improvements provided by route diversity in multi-hop wireless networks," IEEE Trans. Mobile Computing, vol. 7, no. 3, pp. 372-384, Jan. 2008. (Pubitemid 351161032)