A Unified Approach to Performance Analysis of Multihop Relay Fading Channels Using Generalized Gamma Model
-
Amandeep Kaur
and
Jyoteesh Malhotra
Abstract
In this paper analysis of various fading statistics of generic fading distribution, termed as N product of Generalized Gamma distribution is done to model multihop relay fading channels. Generalized gamma (GG) model being a versatile, flexible and multi-parameter model has been selected here as it can generalize commonly used fading models such as Weibull, Nakagami-m, etc. Exact closed expressions of probability density function (PDF) and Cumulative Distribution Function (CDF) are obtained here for the product of multiple GG random variables (RV)s. Based on the derived expressions performance analysis of multihop relay links has been done here in terms of coefficient of variation (CV), amount of fading (AF) and spectral efficiency and outage probability. The closed-form expressions obtained here are tractable and easy to evaluate as validated through extensive numerical evaluations.
References
[1] P. M.Shankar, Fading and Shadowing in Wireless Systems. New York, Dordrecht, Heidelberg, London: Springer, 2012.10.1007/978-1-4614-0367-8Search in Google Scholar
[2] F.Yilmaz and M.-S.Alouini “Product of the powers of generalized Nakagami-m variates and performance of cascaded fading channels,” IEEE Global Telecommunications Conf., pp. 1–8, Honolulu, Hawaii, USA, Nov. 30-Dec. 4 2009.10.1109/GLOCOM.2009.5426254Search in Google Scholar
[3] I.Trigui, A.Laourine, S.Affes, and A.Stephenne “On the performance of cascaded Generalized K fading channels,” IEEE GLOBECOM, pp. 1–5. Honolulu, USA, Nov. 30-Dec. 4, 2009.10.1109/GLOCOM.2009.5426028Search in Google Scholar
[4] N. C.Sagias and G. S.Tombras“On the cascaded Weibull fading channel model,” J. Franklin Inst., vol. 344, pp.1–11, 2007.10.1016/j.jfranklin.2006.07.004Search in Google Scholar
[5] F.Yilmaz and O.Kucur, “Exact performance of wireless multihop transmission for M-ary coherent modulations over generalized Gamma fading channels,” IEEE 19th International Symposium on Personal, Indoor and Mobile Radio Communications – Cannes, France, Sep. 15–18, 2008.10.1109/PIMRC.2008.4699662Search in Google Scholar
[6] N. C.Sagias, G. K.Karagiannidis, P. T.Mathiopoulos, and T. A.Tsiftsis, “On the performance analysis of equal-gain diversity receivers over generalized Gamma fading channels,” IEEE Trans. Wireless Commun., vol. 5, no. 10, pp. 2967–2975, Oct. 2006.Search in Google Scholar
[7] G. K.Karagiannidis, H.Lu, Y.Chen, and N.Cao,“Novel approximations to the statistics of products of independent random variables and their applications in wireless communications,” IEEE Trans. Veh. Technol., vol. 61, no. 2, pp. 443–454, Feb. 2012.10.1109/TVT.2011.2178441Search in Google Scholar
[8] C. K.Kanjirathumkal, S. S.Mohammed, and L.Kutty Jacob,“A unified approach for the fading statistics of heterogeneous compound channels in transparent relay transmissions,” EURASIP J. Wireless Commun. Networking2013, 2013:274.10.1186/1687-1499-2013-274Search in Google Scholar
[9] J.Salo, H. M.El-Sallabi, and P.Vainikainen,“The distribution of the product of independent Rayleigh random variables,” IEEE Trans. Antennas Propag., vol. 54, pp. 639–643, Feb. 200610.1109/TAP.2005.863087Search in Google Scholar
[10] J.Malhotra, A. K.Sharma, and R. S.Kaler, “On the performance analysis of wireless receiver using generalized-gamma fading model,” Ann. Telecommun., vol. 64, no. 1–2, pp. 147–153, 2009.10.1007/s12243-008-0061-2Search in Google Scholar
[11] L.Debnath and D.Bhatta, Integral Transforms and Their Applications, 2nd ed. New York: Taylor & Francis Group, 2007.Search in Google Scholar
[12] G. K.Karagiannidis, N. C.Sagias, and P. T.Mathiopoulos, “N* Nakagami: A novel stochastic model for cascaded fading channels,” IEEE Trans. Commun., vol. 55, no. 8, pp. 1453–1458, Aug. 2007.Search in Google Scholar
[13] M.Abramowitz and I. A.Stegun, Handbook of Mathematical Functions with Formula, Graph and Mathematical Tables, Tenth Printing. New York, NY: Dover publication, 1972.Search in Google Scholar
©2015 by De Gruyter
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Articles in the same Issue
- Frontmatter
- A Triple-Band Monopole Planar Antenna for WLAN and WiMAX Applications
- Novel Compact Asymmetric Coplanar Strip (ACPS)-Fed Zeroth-Order Resonant Antennas with Bandwidth Enhancement
- A Wide Stop-Band Miniaturized Branch-Line Hybrid Coupler
- Using Microstrip LPF in Gysel Power Divider for Extreme Size Reduction and Higher Order Harmonic Suppression
- A Novel Compact UWB Bandpass Filter with Quad-Notched Bands Based on S-SCRLHs Resonator
- Space-Time-Coded Adaptive Spatial Modulation in Wireless MIMO Communication Systems
- A Unified Approach to Performance Analysis of Multihop Relay Fading Channels Using Generalized Gamma Model
- Bit Stream Recognition and Analysis in Cognitive Radio
- Improving Physical Layer Security via TAS and Full-Duplex Artificial-Noise-Added Receiver
- Design of OFDM Signal with Good Autocorrelation for Ground Penetrating Radar
- A New Microwave Asphalt Radar Rover for Thin Surface Civil Engineering Applications
