A Unified MGF-Based Capacity Analysis of Diversity Combiners over Generalized Fading Channels

Unified exact ergodic capacity results for L-branch coherent diversity combiners including equal-gain combining (EGC) and maximal-ratio combining (MRC) are not known. This paper develops a novel generic framework for the capacity analysis of L-branch EGC/MRC over generalized fading channels. The framework is used to derive new results for the gamma-shadowed generalized Nakagami-m fading model which can be a suitable model for the fading environments encountered by high frequency (60 GHz and above) communications. The mathematical formalism is illustrated with some selected numerical and simulation results confirming the correctness of our newly proposed framework.

[1]  Virginia Kiryakova,et al.  Multiple (multiindex) Mittag-Leffler functions and relations to generalized fractional calculus , 2000 .

[2]  Mohamed-Slim Alouini,et al.  Adaptive Modulation over Nakagami Fading Channels , 2000, Wirel. Pers. Commun..

[3]  Ammar B. Kouki,et al.  New compound upper bound on MIMO channel capacity , 2002, IEEE Communications Letters.

[4]  D. Owen.  Handbook of Mathematical Functions with Formulas , 1965 .

[5]  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.

[6]  B. D. Carter,et al.  The Distribution of Products, Quotients and Powers of Independent H-Function Variates , 1977 .

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

[8]  Mohamed-Slim Alouini,et al.  Achievable Capacity of a Spectrum Sharing System over Hyper Fading Channels , 2009, GLOBECOM 2009 - 2009 IEEE Global Telecommunications Conference.

[9]  M. A. Chaudhry,et al.  On a Class of Incomplete Gamma Functions with Applications , 2001 .

[10]  P. Bithas.  Weibull-gamma composite distribution: alternative multipath/shadowing fading model , 2009 .

[11]  H. Hashemi,et al.  The indoor radio propagation channel , 1993, Proc. IEEE.

[12]  Vidhyacharan Bhaskar,et al.  Capacity evaluation for equal gain diversity schemes over Rayleigh fading channels , 2009 .

[13]  Ammar B. Kouki,et al.  On the use of Jensen's inequality for MIMO channel capacity estimation , 2001, Canadian Conference on Electrical and Computer Engineering 2001. Conference Proceedings (Cat. No.01TH8555).

[14]  M. K. Simon,et al.  Unified theory on wireless communication fading statistics based on SIRP , 2004, IEEE 5th Workshop on Signal Processing Advances in Wireless Communications, 2004..

[15]  W. Beyer.  CRC Standard Mathematical Tables and Formulae , 1991 .

[16]  Mohamed-Slim Alouini,et al.  Product of the Powers of Generalized Nakagami-m Variates and Performance of Cascaded Fading Channels , 2009, GLOBECOM 2009 - 2009 IEEE Global Telecommunications Conference.

[17]  I. D. Cook.  The H-Function and Probability Density Functions of Certain Algebraic Combinations of Independent Random Variables with H-Function Probability Distribution , 1981 .

[18]  I. S. Gradshteyn,et al.  Table of Integrals, Series, and Products , 1976 .

[19]  Jyotindra C. Prajapati,et al.  On a generalization of Mittag-Leffler function and its properties , 2007 .

[20]  Mounir Ghogho,et al.  Exact Evaluation of Ergodic Capacity for Multihop Variable-Gain Relay Networks: A Unified Framework for Generalized Fading Channels , 2010, IEEE Transactions on Vehicular Technology.

[21]  A. Goldsmith,et al.  Capacity of Nakagami multipath fading channels , 1997, 1997 IEEE 47th Vehicular Technology Conference. Technology in Motion.

[22]  Ammar B. Kouki,et al.  The impact of correlation on multi-antenna system performance: correlation matrix approach , 2001, IEEE 54th Vehicular Technology Conference. VTC Fall 2001. Proceedings (Cat. No.01CH37211).

[23]  Mohamed-Slim Alouini,et al.  Coded Communication over Fading Channels , 2005 .

[24]  M. Abramowitz,et al.  Handbook of Mathematical Functions With Formulas, Graphs and Mathematical Tables (National Bureau of Standards Applied Mathematics Series No. 55) , 1965 .

[25]  A. M. Mathai,et al.  The H-Function: Theory and Applications , 2009 .

[26]  Joseph Lipka,et al.  A Table of Integrals , 2010 .

[27]  Norman C. Beaulieu,et al.  On the ergodic capacity of multi-hop wireless relaying systems , 2009, IEEE Transactions on Wireless Communications.

[28]  Fulvio Babich,et al.  Statistical analysis and characterization of the indoor propagation channel , 2000, IEEE Trans. Commun..

[29]  A. Kilbas.  H-Transforms: Theory and Applications , 2004 .

[30]  Oguz Kucur,et al.  Exact performance of wireless multihop transmission for M-ary coherent modulations over generalized gamma fading channels , 2008, 2008 IEEE 19th International Symposium on Personal, Indoor and Mobile Radio Communications.

[31]  Milton Abramowitz,et al.  Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables , 1964 .

[32]  Arak M. Mathai,et al.  The H-Function , 2010 .

[33]  P. Mohana Shankar,et al.  Error Rates in Generalized Shadowed Fading Channels , 2004, Wirel. Pers. Commun..

[34]  Christos G. Christodoulou,et al.  Use of Weibull distribution for describing outdoor multipath fading , 2002, IEEE Antennas and Propagation Society International Symposium (IEEE Cat. No.02CH37313).

[35]  Khairi Ashour Hamdi,et al.  Capacity of MRC on Correlated Rician Fading Channels , 2008, IEEE Transactions on Communications.

[36]  J. Boutros,et al.  On communication over fading channels , 1996, Proceedings of ICUPC - 5th International Conference on Universal Personal Communications.