MGF Approach to Compute the Packet Error Probability and Throughput for OFDM, CDMA and MC-CDMA Systems

In this paper, we present a new approach to evaluate the packet error probability (PEP) of code-division multiple access (CDMA), multi-carrier CDMA (MC-CDMA) and orthogonal frequency-division multiple access systems. The PEP is computed using the moment-generating function of signal-to-noise ratio. Our approach uses an approximation of the Marcum Q-function and allows to evaluate the PEP in closed form without any integration. The obtained theoretical results were compared to simulations, and their validity was confirmed.

[1]  M. Chiani,et al.  Improved exponential bounds and approximation for the Q-function with application to average error probability computation , 2002, Global Telecommunications Conference, 2002. GLOBECOM '02. IEEE.

[3]  Mohamed-Slim Alouini,et al.  An MGF-based performance analysis of generalized selection combining over Rayleigh fading channels , 2000, IEEE Trans. Commun..

[4]  Qinghua Shi,et al.  A unified MGF based approach to the analysis of area under the ROC curve of energy detection over generalized fading channels , 2013, 2013 IEEE International Conference on Signal Processing, Communication and Computing (ICSPCC 2013).

[5]  Ramjee Prasad,et al.  Design and performance of multicarrier CDMA system in frequency-selective Rayleigh fading channels , 1999 .

[6]  Parul Garg,et al.  A novel MGF-based approach to analyze SIM-based relayed FSO systems , 2014, 2014 International Conference on Advances in Computing, Communications and Informatics (ICACCI).

[7]  Marco Chiani,et al.  New exponential bounds and approximations for the computation of error probability in fading channels , 2003, IEEE Trans. Wirel. Commun..

[8]  Mohamed-Slim Alouini,et al.  MGF approach to the capacity analysis of Generalized Two-Ray fading models , 2015, 2015 IEEE International Conference on Communications (ICC).

[9]  Chintha Tellambura,et al.  Performance Analysis of Wireless Systems from the MGF of the Reciprocal of the Signal-to-Noise Ratio , 2011, IEEE Communications Letters.

[10]  Hatem Boujemaa Exact and asymptotic BEP of cooperative DS-CDMA systems using decode and forward relaying in the presence of multipath propagation , 2009, IEEE Transactions on Wireless Communications.

[11]  Fortunato Santucci,et al.  Channel Capacity Over Generalized Fading Channels: A Novel MGF-Based Approach for Performance Analysis and Design of Wireless Communication Systems , 2010, IEEE Transactions on Vehicular Technology.

[12]  Juan M. Romero-Jerez,et al.  Generalized MGF of Beckmann Fading With Applications to Wireless Communications Performance Analysis , 2017, IEEE Transactions on Communications.

[13]  Ramjee Prasad,et al.  Overview of multicarrier CDMA , 1997, IEEE Commun. Mag..

[14]  Valentine A. Aalo,et al.  On the MGF and BER of Linear Diversity Schemes in Nakagami Fading Channels with Arbitrary Parameters , 2009, VTC Spring 2009 - IEEE 69th Vehicular Technology Conference.

[15]  Mohamed-Slim Alouini,et al.  Digital Communication Over Fading Channels: A Unified Approach to Performance Analysis , 2000 .

[16]  José F. Paris,et al.  On the Calculation of the Incomplete MGF With Applications to Wireless Communications , 2016, IEEE Transactions on Communications.

[17]  H. Boujemaa,et al.  On the RAKE receiver performance , 2000, Vehicular Technology Conference Fall 2000. IEEE VTS Fall VTC2000. 52nd Vehicular Technology Conference (Cat. No.00CH37152).

[18]  Amit Kumar,et al.  MGF based closed form solution for channel capacity over generalized-G fading under EGC diversity combining , 2014, 2014 International Conference on Medical Imaging, m-Health and Emerging Communication Systems (MedCom).

[19]  M. Jadon,et al.  A closed form expression for BER over “Alpha-Mu” fading based on novel MGF , 2014, Proceedings of 3rd International Conference on Reliability, Infocom Technologies and Optimization.

[20]  Vijay K. Bhargava,et al.  Closed form and infinite series solutions for the MGF of a dual-diversity selection combiner output in bivariate Nakagami fading , 2003, IEEE Trans. Commun..

[21]  Amit Kumar,et al.  MGF Based Closed Form Solution for Channel Capacity over Generalized-G Fading under MRC Diversity Combining , 2014, 2014 International Conference on Computational Intelligence and Communication Networks.

[22]  Chintha Tellambura,et al.  Accurate computation of the MGF of the lognormal distribution and its application to sum of lognormals , 2010, IEEE Transactions on Communications.

[23]  John G. Proakis,et al.  Digital Communications , 1983 .