International Journal of Information Technology and Computer Science (IJITCS)
IJITCS Vol. 11, No. 10, 8 Oct. 2019
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MGF Analysis of Spatial Diversity Combiner over Composite Fading Channel
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Author(s)
Robert O. Abolade
1,*
Zachaeus K. Adeyemo
1
Isaac A. Ojedokun
2
Samson I. Ojo
1
Index Terms
MGF, Rayleigh, Rician, Pade ́ Approximation, BER
Abstract
The worldwide acceptability of wireless communication is due to its portability and flexibility. However, its performance is governed by the multipath propagation effects which make wireless communication modelling challenging. The existing technique being used to solve this propagation effects is based on Probability Density Function (PDF) which is inefficient in addressing diversity over combined Rayleigh and Rician (C_(Ray-Ric)) fading due to its complexity. Therefore, this paper aims to develop an approximated Moment Generating Function (MGF) for spatial diversity combining such as Equal Gain Combining (EGC) and Maximal Ratio Combining (MRC) over C_(Ray-Ric) fading channel. A MGF model in form of Taylor’s series is generated from the expected value of the C_(Ray-Ric) fading channels. The MGF is characterized using Amount of Fading (AF) and Bit Error Rate (BER) in term of Line of Sight (LOS) component ‘k’. The MGF is transformed into EGC and MRC, and were measured in terms of propagation paths (L). These are approximated using the Pade ́ Approximation (PA). The approximates obtained are used in the derivation of BER expression of M-ary Quadrature Amplitude Modulation (MQAM) and M-ary Phase Shift Keying (MPSK) in terms of Signal to Noise Ratio (SNR). The models are evaluated using AF and BER at different values of LOS to determine the performance of the diversity techniques. The results obtained show that as LOS component ‘k’ increases from 0, the Af and BER reduce indicating reduction in fading effects. Therefore, the models developed are effective in predicting the performance of diversity techniques and overcome the multipath effects associated with the wireless communication.
Cite This Paper
Robert O. Abolade, Zachaeus K. Adeyemo, Isaac A. Ojedokun, Samson I. Ojo, "MGF Analysis of Spatial Diversity Combiner over Composite Fading Channel", International Journal of Information Technology and Computer Science(IJITCS), Vol.11, No.10, pp.19-26, 2019. DOI:10.5815/ijitcs.2019.10.03
Reference
[1]Adeyemo, Z.K., Ojedokun, I.A. and Akande, D.O ‘Symbol Error Rate Analysis of M-QAM with Equal Gain Combining over a Mobile Satellite Channel’ International Journal of Electrical and Computer Engineering, 2013, 3 (6): 849-856,
[2]Alouini, M. and Goldsmith, A.J. A ‘Unified Approach for Calculating Error Rates Linearly Modulated Signals over Generalized Fading Channels’ IEEE Transactions on Communications, 1999, 47 (9): 1324-1324.
[3]Amindavar H. and Ritcey J.A. ‘Padé Approximation of Probability Density Functions’ IEEE Transactions on Aerospace and Electron System, 1994, 30 (2): 416-424.
[4]Brennan, D. ‘Linear Diversity Combining Techniques’ Procedure of. IRE, 1959, 47 (6):1075-1102.
[5]Goldsmith, A., ‘Wireless Communications, (3rd ed.) Cambridge University Press, 2005.
[6]Helstrom C.W., “Probability and Stochastic Processes for Engineers”, Second Edition, Macmillan, New York, USA, 1991.
[7]Ippolito, L.J., “Satellite communication system engineering: Atmospheric Effect, Satellite link Design, and System Performance,” (1st ed.) John Wiley & Sons, Singapore, 2008.
[8]Ismail, M.H. and Matalgah, M.M. On the Use of Padé Approximation for Performance Evaluation of Maximal Ratio Combining Diversity Over Weibull Fading Channels EURASIP Journal on Wireless Communications and Networking, 2006, 3(1):62-68.
[9]Jochen S., Mobile Communications. (2nd ed.) Pearson Education Ltd., India, 2006.
[10]Kale, S.S. and Jadhav A.N. An Empirically Based Path Loss Models for LTE Advanced Network and Modeling for 4G Wireless Systems at 2.4 GHz, 2.6 GHz and 3.5 GHz, International Journal of Application or Innovation in Engineering & Management (IJAIEM), 2013, 2 (9): 252-257.
[11]Karagiannidis G. K., Sagias N. C., and Zogas D. A., “Error analysis of M-QAM with Equal Gain Combining diversity over generalized fading channels”, IEE Transactions on wireless communications, 2005, 152 (1):69-74.
[12]Karagiannidis, G. K., “Moments-Based Approach to the Performance Analysis of Equal Gain Diversity in Nakagami-m Fading,” IEEE Trans. Commun., 2004, 52 (1):685-690.
[13]Loo, C., “A Statistical Model for a Land Mobile Satellite link” IEEE Transactions on Vehicular Tech., 1985, 34 (3):122 – 127.
[14]Malhotra J., “Investigation of M-QAM and MPSK with EGC in Generalized Flat Fading channels”, Journal of Advances in information Technology, 2011, 2 (4):250-256.
[15]Malhotra J., Sharma A. K., and Kaler R. S., “On the performance Analysis of Wireless receiver using generalized-gamma fading Model”, Annals of Telecommunications, 2009, 64 (1):147-153.
[16]Mishra A.R., “Second generation network planning and optimization (GSM)”, John Wiley and sons, New Jersey, 2004.
[17]Papoulis, A. Probability, Random Variables and Stochastic Processes, McGraw-Hill Inc. New York City, USA, 1991.
[18]Pornchai, S., Wanaree, W., and Sawasd, T., “Performance of M-PSK in Mobile Satellite Communication over Combined Ionosphere Scintillation and Flat Fading Channels with MRC Diversity”, IEEE Transactions on Wireless Communications, 2009, 8(7):3360-3364.
[19]Proakis, J. G., “Digital Communications”, McGraw-Hill companies, Inc. International Edition, 2001.
[20]Ramanathan, V. Performance Evaluation of Equal Gain Diversity Systems in Fading Channels, Unpublished M. Sc. Thesis, Virginia Polytechnic Institute and State University, USA, 2003.
[21]Rappaport T. S., “Wireless Communication Principles and Practice” Communication Engineering and Emerging Technologies Series, second edition, Prentice, Hall of India Private limited, New Delhi, 2002.
[22]Simon, M. K., and Alouini, M.S., “Digital Communication over fading channels” John Wiley & Sons. Inc. Hoboken, New Jersey, 2005.
[23]Stallings W “Wireless Communications and Networks,” 3rd Indian Reprint Pearson Education Ltd., India, 2003.
[24]Stuber, G. L., “Principles of mobile communications,” (2nd ed.), Kluwer Academic publishers New York, 2002.
[25]Suetin, S.P. Padé Approximants and Efficient Analytical Continuation of a Power Series, Russian Mathematical Surveys, 2002, 57 (1):43-141.
[26]Tse, D., and Viswanath, P., “Fundamentals of Wireless Communication” (1st ed.) Cambridge University Press, New York, 2005.
[27]Yilmaz F., and Alouini M., “A Unified MGF-Based Capacity Analysis of Diversity Combiners over Generalized Fading Channels” IEEE Transactions on Communications, 2010, 10(20):1-26.