Framework for Random Power Allocation of Wireless Sensor Networks in Fading Channels
Affiliation(s)
Communication and Systems Engineering Group, University of Vaasa, Vaasa, Finland. Department of Electrical and Computer Engineering, Sultan Qaboos University, Muscat, Oman. Department of Communications and Networking, Aalto University, Helsinki, Finland.
Communication and Systems Engineering Group, University of Vaasa, Vaasa, Finland. Department of Electrical and Computer Engineering, Sultan Qaboos University, Muscat, Oman. Department of Communications and Networking, Aalto University, Helsinki, Finland.
ABSTRACT
In naturally deaf wireless sensor networks or generally when there is no feedback channel, the fixed-level transmit power of all nodes is the conventional and practical power allocation method. Using random power allocation for the broadcasting nodes has been recently proposed to overcome the limitations and problems of the fixed power allocation. However, the previous work discussed only the performance analysis when uniform power allocation is used for quasi-static channels. This paper gives a general framework to evaluate the performance (in terms of outage and average transmit power) of any truncated probability density function of the random allocated power. Furthermore, dynamic Rayleigh fading channel is considered during the performance analysis which gives more realistic results that the AWGN channels assumed in the previous work. The main objective of this paper is to evaluate the communication performance when general random power allocation is used. Furthermore, the truncated inverse exponential probability distribution of the random power allocation is proposed and compared with the fixed and the uniform power allocations. The performance analysis for the proposed schemes are given mathematically and evaluated via intensive simulations.
In naturally deaf wireless sensor networks or generally when there is no feedback channel, the fixed-level transmit power of all nodes is the conventional and practical power allocation method. Using random power allocation for the broadcasting nodes has been recently proposed to overcome the limitations and problems of the fixed power allocation. However, the previous work discussed only the performance analysis when uniform power allocation is used for quasi-static channels. This paper gives a general framework to evaluate the performance (in terms of outage and average transmit power) of any truncated probability density function of the random allocated power. Furthermore, dynamic Rayleigh fading channel is considered during the performance analysis which gives more realistic results that the AWGN channels assumed in the previous work. The main objective of this paper is to evaluate the communication performance when general random power allocation is used. Furthermore, the truncated inverse exponential probability distribution of the random power allocation is proposed and compared with the fixed and the uniform power allocations. The performance analysis for the proposed schemes are given mathematically and evaluated via intensive simulations.
Cite this paper
M. Elmusrati, N. Tarhuni and R. Jantti, "Framework for Random Power Allocation of Wireless Sensor Networks in Fading Channels," Wireless Sensor Network, Vol. 4 No. 3, 2012, pp. 76-83. doi: 10.4236/wsn.2012.43011.
M. Elmusrati, N. Tarhuni and R. Jantti, "Framework for Random Power Allocation of Wireless Sensor Networks in Fading Channels," Wireless Sensor Network, Vol. 4 No. 3, 2012, pp. 76-83. doi: 10.4236/wsn.2012.43011.
References
[1] A. Bachir, M. Dohler, T. Watteyne and K. Leung, “MAC Essentials for Wireless Sensor Networks,” IEEE Communications Surveys & Tutorials, Vol. 12, No. 2, 2010, pp. 222-249. [2] J. Haapola, “Evaluating Medium Access Control Protocols for Wireless Sensor Networks,” Ph.D. Thesis, University of Oulu, Oulu, 2010. [3] J. Zander, “Performance of Optimum Transmitter Power Control in Cellular Radio Systems,” IEEE Transactions on Vehicular Technology, Vol. 41, No. 1, 1992, pp. 57-62. [4] R. D. Yates, “A Framework for Uplink Power Control in Cellular Radio Systems,” IEEE Journal on Selected Areas in Communications, Vol. 13, No. 7, 1995, pp. 1341-1347. [5] M. Elmusrati, R. J?ntti and H. N. Koivo, “Multi-Objective Distributed Power Control Algorithm for CDMA Wireless Communication Systems,” IEEE Transactions on Vehicular Technology, Vol. 56, No. 2, 2006, pp. 779-788. [6] A. J. Viterbi, A. M. Viterbi and E. Zehavi, “Performance of Power Controlled Wideband Terrestrial Digital Communication,” IEEE Transactions on Communications, Vol. 41, No. 4, 1993, pp. 559-569. doi:10.1109/26.223780 [7] J. H. Kim, S. J. Lee, Y. W. Kim, M. Y. Chung and D.K. Sung, “Performance of Single-Bit Adaptive Step-Size Closed-Loop Power Control Scheme in DS-CDMA Systems,” IEICE Transactions on Communications, Vol. E81-B, No. 7, 1998, pp. 1548-1552. [8] M. Rintam?ki, H. Koivo and I. Hartimo, “Adaptive Closed- Loop Power Control Algorithms for CDMA Cellular Communication Systems,” IEEE Transactions on Vehicular Technology, Vol. 53, No. 6, 2004, pp. 1756-1768. doi:10.1109/TVT.2004.836937 [9] M. Bocca, et al., “A Synchronized Wireless Sensor Network for Experimental Modal Analysis in Structural Health Monitoring,” Computer-Aided Civil and Infrastructure Engineering, Vol. 26, No. 7, 2011, pp. 483-499. [10] T.-S. Kim and S.-L. Kim, “Random Power Control in Wireless ad hoc Networks,” IEEE Communications Letters, Vol. 9, No. 12, 2005, pp. 1046-1048. doi:10.1109/LCOMM.2005.1576583 [11] M. Elmusrati, N. Tarhuni and R. J?ntti, “Performance Analysis of Random Uniform Power Allocation for Wireless Networks in Rayleigh Fading Channels,” European Transactions on Telecommunications, Vol. 20, No. 4, 2009, pp. 457-462. [12] M. Elmusrati, N. Tarhuni and R. Jantti, “Performance Analysis for Wireless Deaf Sensor Networks in Fading Channels” IEEE 65th Vehicular Technology Conference, Dublin, 22-25 April 2007, pp. 189-182. [13] E. L. Lehmann and J. P. Shaffer “Inverted Distributions,” The American Statistician, Vol. 42, No. 3, 1988, pp. 191-194. doi:10.2307/2684999 [14] J. S. Rustagi Variational methods in statistics Academic Press London 1976. [15] M. Abramowitz and I. A. Stegun, “Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables,” US Department of Commerce, 1979. http://www.knovel.com/knovel2/Toc.jsp?BookID=528&VerticalID=0
[1] A. Bachir, M. Dohler, T. Watteyne and K. Leung, “MAC Essentials for Wireless Sensor Networks,” IEEE Communications Surveys & Tutorials, Vol. 12, No. 2, 2010, pp. 222-249. [2] J. Haapola, “Evaluating Medium Access Control Protocols for Wireless Sensor Networks,” Ph.D. Thesis, University of Oulu, Oulu, 2010. [3] J. Zander, “Performance of Optimum Transmitter Power Control in Cellular Radio Systems,” IEEE Transactions on Vehicular Technology, Vol. 41, No. 1, 1992, pp. 57-62. [4] R. D. Yates, “A Framework for Uplink Power Control in Cellular Radio Systems,” IEEE Journal on Selected Areas in Communications, Vol. 13, No. 7, 1995, pp. 1341-1347. [5] M. Elmusrati, R. J?ntti and H. N. Koivo, “Multi-Objective Distributed Power Control Algorithm for CDMA Wireless Communication Systems,” IEEE Transactions on Vehicular Technology, Vol. 56, No. 2, 2006, pp. 779-788. [6] A. J. Viterbi, A. M. Viterbi and E. Zehavi, “Performance of Power Controlled Wideband Terrestrial Digital Communication,” IEEE Transactions on Communications, Vol. 41, No. 4, 1993, pp. 559-569. doi:10.1109/26.223780 [7] J. H. Kim, S. J. Lee, Y. W. Kim, M. Y. Chung and D.K. Sung, “Performance of Single-Bit Adaptive Step-Size Closed-Loop Power Control Scheme in DS-CDMA Systems,” IEICE Transactions on Communications, Vol. E81-B, No. 7, 1998, pp. 1548-1552. [8] M. Rintam?ki, H. Koivo and I. Hartimo, “Adaptive Closed- Loop Power Control Algorithms for CDMA Cellular Communication Systems,” IEEE Transactions on Vehicular Technology, Vol. 53, No. 6, 2004, pp. 1756-1768. doi:10.1109/TVT.2004.836937 [9] M. Bocca, et al., “A Synchronized Wireless Sensor Network for Experimental Modal Analysis in Structural Health Monitoring,” Computer-Aided Civil and Infrastructure Engineering, Vol. 26, No. 7, 2011, pp. 483-499. [10] T.-S. Kim and S.-L. Kim, “Random Power Control in Wireless ad hoc Networks,” IEEE Communications Letters, Vol. 9, No. 12, 2005, pp. 1046-1048. doi:10.1109/LCOMM.2005.1576583 [11] M. Elmusrati, N. Tarhuni and R. J?ntti, “Performance Analysis of Random Uniform Power Allocation for Wireless Networks in Rayleigh Fading Channels,” European Transactions on Telecommunications, Vol. 20, No. 4, 2009, pp. 457-462. [12] M. Elmusrati, N. Tarhuni and R. Jantti, “Performance Analysis for Wireless Deaf Sensor Networks in Fading Channels” IEEE 65th Vehicular Technology Conference, Dublin, 22-25 April 2007, pp. 189-182. [13] E. L. Lehmann and J. P. Shaffer “Inverted Distributions,” The American Statistician, Vol. 42, No. 3, 1988, pp. 191-194. doi:10.2307/2684999 [14] J. S. Rustagi Variational methods in statistics Academic Press London 1976. [15] M. Abramowitz and I. A. Stegun, “Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables,” US Department of Commerce, 1979. http://www.knovel.com/knovel2/Toc.jsp?BookID=528&VerticalID=0