Abstract
In this paper, we study the end-to-end outage probability performance of Amplify and Forward (AF) and Decode and Forward (DF) multi-hop wireless communication systems operating over independent but not necessarily identical \(\alpha -\mu \) fading channels. To this end, we derive an expression for the moment generating function of the reciprocal of the end-to-end signal-to-noise ratio, and then use this expression to evaluate the end-to-end outage probability of the AF system by numerically inverting the Laplace transform. We also derive an expression for the end-to-end outage probability of the DF system.
Similar content being viewed by others
References
Hasna, M., & Alouini, M.-S. (2003). Outage probability of multihop transmission over nakagami fading channels. IEEE Communications Letters, 7, 216–218.
Hasna, M., & Alouini, M.-S. (2003). End-to-end performance of transmission systems with relays over rayleigh-fading channels. IEEE Transactions on Wireless Communications, 2, 1126–1131.
Hasna, M., & Alouini, M.-S. (2004). Harmonic mean and end-to-end performance of transmission systems with relays. IEEE Transactions on Communications, 52, 130–135.
Hasna, M., & Alouini, M.-S. (2004). A performance study of dual-hop transmissions with fixed gain relays. IEEE Transactions on Wireless Communications, 3, 1963–1968.
Ikki, S., & Ahmed, M. (2009). Performance analysis of dual hop relaying over non-identical weibull fading channels. In IEEE 69th vehicular technology conference, 2009. VTC spring 2009 (pp. 1–5).
Ikki, S., & Ahmed, M. H. (2007). Performance of multi-hop relaying systems over weibull fading channels. In H. Labiod & M. Badra (Eds.), New technologies, mobility and security (pp. 31–38). Dordrecht: Springer.
Wu, L., Lin, J., Niu, K., & He, Z. (2009). Performance of dual-hop transmissions with fixed gain relays over generalized-k fading channels. In IEEE international conference on communications, 2009. ICC ’09 (pp. 1–5).
Amarasuriya, G., Tellambura, C., & Ardakani, M. (2010). Performance bounds for AF multi-hop relaying over nakagami fading. In 2010 IEEE wireless communications and networking conference (WCNC) (pp. 1–6).
Magableh, A. M., Aldalgamouni, T., & Jafreh, N. M. (2014). Performance of dual-hop wireless communication systems over the \(\alpha \)-\(\mu \) fading channels. International Journal of Electronics, 101(6), 808–819.
Magableh, A. M., Aldalgamouni, T., & Jafreh, N. M. (2014). Capacity analysis of dual-hop wireless communication systems over \(\alpha \)-\(\mu \) fading channels. Computers and Electrical Engineering, 40(2), 399–406.
Badarneh, O. S., Aldalgamouni, T., & Aloqlah, M. (2013). Outage probability analysis of multi-hop relayed wireless networks over \(\eta -\mu \) fading channels. AEU—International Journal of Electronics and Communications, 67(10), 833–838.
Yacoub, M. (2007). The \(\alpha \)-\(\mu \) distribution: A physical fading model for the stacy distribution. IEEE Transactions on Vehicular Technology, 56, 27–34.
Magableh, A., & Matalgah, M. M. (2009). Moment generating function of the generalized \(\alpha -\mu \) distribution with applications. IEEE Communications Letters, 13, 411–413.
Prudnikov, A. P., Brychkov, Y. A., & Marichev, O. I. (1990). Integrals and series, volume 3: More special functions. New York: Gordon and Breach Science Publishers.
Ko, Y. C., Alouini, M.-S., & Simon, M. K. (2000). Outage probability of diversity systems over generalized fading channels. IEEE Transactions on Communications, 48, 1783–1787.
Guizani, M. (2004). Wireless communications systems and networks. New York: Springer.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Aldalgamouni, T., Magableh, A.M. & Badarneh, O.S. Outage probability analysis of multi-hop relayed wireless networks over \(\alpha -\mu \) fading channels. Telecommun Syst 66, 409–415 (2017). https://doi.org/10.1007/s11235-017-0295-2
Published:
Issue Date:
DOI: https://doi.org/10.1007/s11235-017-0295-2