Stochastic Modeling and Power Control of Time-Varying Wireless Communication Networks

Abstract

Wireless networks are characterized by nodes mobility, which makes the propagation environment time-varying and subject to fading. As a consequence, the statistical characteristics of the received signal vary continuously, giving rise to a Doppler power spectral density (DPSD) that varies from one observation instant to the next. This paper is concerned with dynamical modeling of time-varying wireless fading channels, their estimation and parameter identification, and optimal power control from received signal measurement data. The wireless channel is characterized using a stochastic state-space form and derived by approximating the time-varying DPSD of the channel. The expected maximization and Kalman filter are employed to recursively identify and estimate the channel parameters and states, respectively, from online received signal strength measured data. Moreover, we investigate a centralized optimal power control algorithm based on predictable strategies and employing the estimated channel parameters and states. The proposed models together with the estimation and power control algorithms are tested using experimental measurement data and the results are presented.

Share and Cite:

Olama, M. , Djouadi, S. and Charalambous, C. (2014) Stochastic Modeling and Power Control of Time-Varying Wireless Communication Networks. Communications and Network, 6, 155-164. doi: 10.4236/cn.2014.63017.

Conflicts of Interest

The authors declare no conflicts of interest.

References

[1] Olama, M.M., Djouadi, S.M. and Charalambous, C.D. (2009) Stochastic Differential Equations for Mod-
eling, Estimation and Identification of Mobile-to-Mobile Communication Channels. IEEE Transactions
on Wireless Communications, 8, 1754-1763. http://dx.doi.org/10.1109/TWC.2009.071068
[2] Olama, M.M., Li, Y., Djouadi, S.M. and Charalambous, C.D. (2007) Time-Varying Wireless Channel Modeling, Estimation, Identification, and Power Control from Measurements. Proceedings of the American Control Conference (ACC’07), New York, 9-13 July 2007, 3100-3105.
[3] Olama, M.M., Djouadi, S.M. and Charalambous, C.D. (2006) Stochastic Power Control for Time-Varying Long-Term Fading Wireless Networks. EURASIP Journal on Applied Signal Processing, 2006, Article ID: 89864.
[4] Charalambous, C.D., Djouadi, S.M. and Denic, S.Z. (2005) Stochastic Power Control for Wireless Networks via SDE’s: Probabilistic QoS Measures. IEEE Transactions on Information Theory, 51, 4396-4401. http://dx.doi.org/10.1109/TIT.2005.858984
[5] Jakes, W. (1974) Microwave Mobile Communications. IEEE Inc., New York.
[6] Proakis, J.G. (2000) Digital Communications. 4th Edition, McGraw Hill, New York.
[7] Rappaport, T.S. (2002) Wireless Communications: Principles and Practice. 2nd Edition, Prentice Hall, Upper Saddle River.
[8] Charalambous, C.D. and Logothetis, A. (2000) Maximum-Likelihood Parameter Estimation from Incomplete Data via the Sensitivity Equations: The Continuous-Time Case. IEEE Transactions on Automatic Control, 45, 928-934. http://dx.doi.org/10.1109/9.855553
[9] Bishop, G. and Welch, G. (2001) An Introduction to the Kalman Filters. University of North Carolina, North Carolina.
[10] Zander, J. (1992) Performance of Optimum Transmitter Power Control in Cellular Radio Systems. IEEE Transactions on Vehicular Technology, 41, 57-62. http://dx.doi.org/10.1109/25.120145
[11] Aein, J. (1973) Power Balancing in Systems Employing Frequency Reuse. COMSAT Technical Review, 3, 277-299.
[12] Bambos, N. and Kandukuri, S. (2002) Power-Controlled Multiple Access Schemes for Next-Generation Wireless Packet Networks. IEEE Wireless Communications, 9, 58-64.
ttp://dx.doi.org/10.1109/MWC.2002.1016712
[13] Foschini, G.J. and Miljanic, Z. (1993) A Simple Distributed Autonomous Power Control Algorithm and Its Convergence. IEEE Transactions on Vehicular Technology, 42, 641-646.
http://dx.doi.org/10.1109/25.260747
[14] Kandukuri, S. and Boyd, S. (2002) Optimal Power Control in Interference-Limited Fading Wireless Channels with Outage-Probability Specifications. IEEE Transactions on Wireless Communications, 1, 46-55. http://dx.doi.org/10.1109/7693.975444
[15] Olama, M.M., Djouadi, S.M. and Charalambous, C.D. (2006) Stochastic Channel Modeling for Ad-Hoc Wireless Networks. Proceedings of the American Control Conference, Minneapolis, 14-16 June 2006, 6075-6080.
[16] Oksendal, B. (1998) Stochastic Differential Equations: An Introduction with Applications. Springer, Berlin. http://dx.doi.org/10.1007/978-3-662-03620-4
[17] Elliott, R.J. and Krishnamurthy, V. (1999) New Finite-Dimensional Filters for Parameter Estimation of Discrete-Time Linear Guassian Models. IEEE Transactions on Automatic Control, 44, 938-951. http://dx.doi.org/10.1109/9.763210

Copyright © 2023 by authors and Scientific Research Publishing Inc.

Creative Commons License

This work and the related PDF file are licensed under a Creative Commons Attribution 4.0 International License.