Performance Analysis of Receive Diversity in Wireless Sensor Networks over GBSBE Models

Wireless sensor networks have attracted a lot of attention recently. In this paper, we develop a channel model based on the elliptical model for multipath components involving randomly placed scatterers in the scattering region with sensors deployed on a field. We verify that in a sensor network, the use of receive diversity techniques improves the performance of the system. Extensive performance analysis of the system is carried out for both single and multiple antennas with the applied receive diversity techniques. Performance analyses based on variations in receiver height, maximum multipath delay and transmit power have been performed considering different numbers of antenna elements present in the receiver array, Our results show that increasing the number of antenna elements for a wireless sensor network does indeed improve the BER rates that can be obtained

An Outage Analysis Of Multibranch Diversity Receivers With Cochannel Interference In α-μ, κ-μ, And η-μ Fading Scenarios

Wireless communications systems in a frequency reuse environment are subject to cochannel interference. In order to improve the system performance, diversity techniques are deployed. Among the practical diversity schemes used, Equal-Gain Combining (EGC) appears as a reasonably simple and effective one. Unfortunately, the exact analysis of the outage probability of EGC receivers is rather intricate for it involves the evaluation of multifold nested integrals. It becomes mathematically intractable with the increase of the number of diversity branches and/or interferers. For example, for N B diversity branches and N I arbitrary independent cochannel interferers, the exact formulation using the convolutional approach requires 2 + N B + (N B × N I ) nested integrals, which, very quickly, and for any practical system, turns out to be mathematically intractable. In this paper, we propose accurate approximate formulations for this problem, whose results are practically indistinguishable from the exact solution. In our model, the system is composed by N B branches and N I interferers so that the desired signals are coherently summed, whereas the interfering signals are incoherently summed at the EGC receiver. Three sets of fading scenarios, namely α-μ, κ-μ, and η-μ, are investigated. The proposed approach is indeed flexible and accommodates a variety of mixed fading scenarios for desired and interfering signals. © 2012 Springer Science+Business Media, LLC.641319Sowerby, K.W., Williamson, A.G., Outage probability calculations for multiple cochannel interferers in cellular mobile radio systems (1988) Proceedings Institute of Electrical Engineering - Radar and Signal Processing, 135 (3), pp. 208-215. , 10.1049/ip-f-1.1988.0028Yao, Y.-D., Sheikh, A.U.H., Investigations into cochannel interference in microcellular mobile radio systems (1992) IEEE Transactions on Vehicular Technology, 41 (2), pp. 114-123. , 10.1109/25.142770Proakis, J.G., (2001) Digital Communications, , McGraw-Hill New YorkNakagami, M., The m-distribution: A general formula of intensity distribution of rapid fading (1960) Hoffman, W. C. Statistical Methods in Radio Wave Propagation, , Pergamon, Elmsford, NYReig, J., Cardona, N., Nakagami-m approximate distribution of sum of two correlated Nakagami-m correlated variables (2000) IET Electronics Letters, 36 (11), pp. 978-980. , 10.1049/el:20000728Hu, J., Beaulieu, N.C., Accurate simple closed-form approximations to Rayleigh sum distributions and densities (2005) IEEE Communications Letters, 9 (2), pp. 109-111. , 10.1109/LCOMM.2005.02003Hu, J., Beaulieu, N.C., Accurate closed-form approximations to Ricean sum distributions and densities (2005) IEEE Communications Letters, 9 (2), pp. 133-135. , 10.1109/LCOMM.2005.02029Santos Filho, J.C.S., Yacoub, M.D., Simple precise approximations to Weibull sums (2006) IEEE Communications Letters, 10 (8), pp. 614-616. , 10.1109/LCOMM.2006.1665128Santos Filho, J.C.S., Yacoub, M.D., Nakagami-m approximation to the sum of M non-identical independent Nakagami-m variates (2004) IET Electronics Letters, 40 (15), pp. 951-952. , 10.1049/el:20045104Santos Filho, J.C.S., Yacoub, M.D., Highly accurate κ-μ Approximation to sum of M independent non-identical Ricean variates (2005) IET Electronics Letters, 41 (6), pp. 338-339. , 10.1049/el:20057727Santos Filho, J.C.S., Yacoub, M.D., Highly accurate η-μ Approximation to the sum of M independent non-identical Hoyt variates (2005) IEEE Antennas and Wireless Propagation Letters, 4, pp. 436-438. , 10.1109/LAWP.2005.860192Coleman, T.F., Li, Y., An interior trust region approach for nonlinear minimization subject to bounds (1996) SIAM Journal on Optimization, 6, pp. 418-445. , 1387333 0855.65063 10.1137/0806023Shah, A., Haimovich, A.M., Performance analysis of maximal ratio combining and comparison with optimum combining for mobile radio communications with cochannel interference (2000) IEEE Transactions on Vehicular Technology, 49 (4), pp. 1454-1463. , 10.1109/25.875282Aalo, V.A., Zhang, J., Performance analysis of maximal ratio combining in the presence of multiple equal-power cochannel interferers in a Nakagami fading channel (2001) IEEE Transactions on Vehicular Technology, 50 (2), pp. 497-503. , 10.1109/25.923061Yang, L., Alouini, M.-S., On the average outage rate and average outage duration of wireless communication systems with multiple cochannel interferers (2004) IEEE Transactions on Wireless Communication, 3 (4), pp. 1142-1153. , 10.1109/TWC.2004.828019Abu-Dayya, A.A., Beaulieu, N.C., Outage probabilities of diversity cellular systems with cochannel interference in Nakagami fading (1992) IEEE Transactions on Vehicular Technology, 41 (4), pp. 343-355. , 10.1109/25.182583Song, Y., Blostein, S.D., Cheng, J., Exact outage probability for equal gain combining with cochannel interference in Rayleigh fading (2003) IEEE Transactions on Wireless Communication, 2 (5), pp. 865-870. , 10.1109/TWC.2003.816796Hadzi-Velkov, Z., Level crossing rate and average fade duration of EGC systems with cochannel interference in Rayleigh fading (2007) IEEE Transactions on Communication, 55 (11), pp. 2104-2113. , 10.1109/TCOMM.2007.908519Tellambura, C., Annamalai, A., Further results on the Beaulieu series (2000) IEEE Transactions on Communication, 48 (11), pp. 1774-1777. , 1018.94501 10.1109/26.886465Da Costa, D.B., Yacoub, M.D., Santos Filho, J.C.S., Highly accurate closed-form approximations to the sum of α-μ Variates and applications (2008) IEEE Transactions on Wireless Communication, 7 (9), pp. 3301-3306. , 10.1109/TWC.2008.070336Da Costa, D.B., Yacoub, M.D., Accurate aproximations to the sums of generalized random variables and applications in the performance analysis of diversity systems (2009) IEEE Transactions on Communication, 57 (5), pp. 1271-1274. , 10.1109/TCOMM.2009.05.070312Yacoub, M.D., The α-μ Distribution: A physical fading model for the Stacy distribution (2007) IEEE Transactions on Vehicular Technology, 56 (1), pp. 27-34. , 10.1109/TVT.2006.883753Yacoub, M.D., The κ-μ Distribution and the η-μ Distribution (2007) IEEE Antennas and Propagation Magazine, 49 (1), pp. 68-81. , 10.1109/MAP.2007.370983Abramowitz, M., Stegun, I.A., (1972) Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables, , Dover New York 0543.33001Jiménez, D.M., Paris, J.F., Outage probability analysis for η- μ fading channels (2010) IEEE Communications Letters, 14 (6), pp. 521-523. , 10.1109/LCOMM.2010.06.092501Simon, M.K., Alouini, M.-S., (2000) Digital Communications over Fading Channels: A Unified Approach to Performance Analyis, , Wiley New York 10.1002/0471200697Tellambura, C., Annamalai, A., An unified numerical approach for computing the outage probability for mobile radio systems (1999) IEEE Communications Letters, 3 (4), pp. 97-99. , 10.1109/4234.75720