A Unified Effective Capacity Performance Analysis of Lp-norm Diversity Reception over Arbitrary and Correlated Generalized Fading Channels

The effective capacity (EC) has been recently established as a rigorous alternative to the classical Shannon's ergodic capacity since it accounts for the delay constraints imposed by future wireless applications and their impact on the overall system performance. This paper presents a novel moment generating function (MGF)-based framework for the unified EC performance analysis of a generic Lp-norm diversity combining scheme operating over arbitrary and correlated generalized fading channels and a maximum delay constraint. The Lp-norm diversity is a generic diversity structure which includes as special cases various well-known diversity schemes such as equal gain combining (EGC) and maximal ratio combining (MRC). For MRC, the proposed methodology reduces to a previously published MGF-based approach for the evaluation of the EC, whereas, for EGC, analytical approach presented is novel and the associated performance evaluation results have not been published previously in the open technical literature. Based on this methodology, novel analytical closed-form expressions for the EC performance of dual branch Lp-norm diversity receivers operating over Gamma shadowed generalized Nakagami-m fading channels are deduced. For diversity order greater than two, a novel analytical approach for the asymptotic EC performance analysis is also developed and evaluated, revealing how basic system parameters affect the overall system performance. The overall mathematical formalism is validated with selected numerical and equivalent simulation performance evaluation results thus confirming the correctness of the proposed unified analytical methodology.

[1]  D. Shanks.  Non‐linear Transformations of Divergent and Slowly Convergent Sequences , 1955 .

[2]  E. Stacy.  A Generalization of the Gamma Distribution , 1962 .

[3]  Athanasios Papoulis,et al.  Probability, Random Variables and Stochastic Processes , 1965 .

[4]  W. Rudin.  Real and complex analysis , 1968 .

[5]  D. F. Hays,et al.  Table of Integrals, Series, and Products , 1966 .

[6]  Philip J. Bones,et al.  Algorithms to numerically evaluate the Hankel transform , 1993 .

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

[8]  Shlomo Shamai,et al.  The impact of frequency-flat fading on the spectral efficiency of CDMA , 2001, IEEE Trans. Inf. Theory.

[9]  Sergio Verdú,et al.  Spectral efficiency in the wideband regime , 2002, IEEE Trans. Inf. Theory.

[10]  Georgios B. Giannakis,et al.  A simple and general parameterization quantifying performance in fading channels , 2003, IEEE Trans. Commun..

[11]  Dapeng Wu,et al.  Effective capacity: a wireless link model for support of quality of service , 2003, IEEE Trans. Wirel. Commun..

[12]  Nikos C. Sagias,et al.  Switched diversity receivers over generalized gamma fading channels , 2005, IEEE Communications Letters.

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

[14]  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.

[15]  Robert Schober,et al.  Adaptive Lp-norm diversity combining in non-gaussian noise and interference , 2009, IEEE Transactions on Wireless Communications.

[16]  Mohamed-Slim Alouini,et al.  A New Formula for the BER of Binary Modulations with Dual-Branch Selection over Generalized-K Composite Fading Channels , 2010, IEEE Transactions on Communications.

[17]  Mohamed-Slim Alouini,et al.  On the Computation of the Higher-Order Statistics of the Channel Capacity over Generalized Fading Channels , 2012, IEEE Wireless Communications Letters.

[18]  Erik G. Larsson,et al.  Analytic Framework for the Effective Rate of MISO Fading Channels , 2012, IEEE Transactions on Communications.

[19]  Mohamed-Slim Alouini,et al.  A Unified MGF-Based Capacity Analysis of Diversity Combiners over Generalized Fading Channels , 2010, IEEE Transactions on Communications.

[20]  L. Dong,et al.  Performance analysis for effective rate of correlated MISO fading channels , 2012 .

[21]  Caijun Zhong,et al.  Effective capacity of multiple antenna channels: correlation and keyhole , 2012, IET Commun..

[22]  Kostas Peppas,et al.  A New Formula for the Average Bit Error Probability of Dual-Hop Amplify-and-Forward Relaying Systems over Generalized Shadowed Fading Channels , 2012, IEEE Wireless Communications Letters.

[23]  Michail Matthaiou,et al.  Effective rate analysis of MISO η-μ fading channels , 2013, 2013 IEEE International Conference on Communications (ICC).

[24]  Lajos Hanzo,et al.  The Effective Throughput of MISO Systems Over Kappa - μ Fading Channels , 2014, IEEE Trans. Veh. Technol..

[25]  Jianhua Lu,et al.  On the analysis of effective capacity over generalized fading channels , 2014, 2014 IEEE International Conference on Communications (ICC).

[26]  You Zheng Wang,et al.  MGF-Based Effective Capacity for Generalized Fading Channels , 2014, CIT 2014.

[27]  P. Takis Mathiopoulos,et al.  On the Effective Capacity of Amplify-and-Forward Multihop Transmission Over Arbitrary and Correlated Fading Channels , 2016, IEEE Wireless Communications Letters.

[28]  Jing Jiang,et al.  Effective Rate Analysis in Weibull Fading Channels , 2016, IEEE Wireless Communications Letters.

[29]  Jin Jin,et al.  Effective Rate of MISO Systems Over $\kappa $ - $\mu $ Shadowed Fading Channels , 2017, IEEE Access.

[30]  Hongjian Sun,et al.  Unified Framework for the Effective Rate Analysis of Wireless Communication Systems Over MISO Fading Channels , 2017, IEEE Transactions on Communications.