Analytic Framework for the Effective Rate of MISO Fading Channels

The delay constraints imposed by future wireless applications require a suitable metric for assessing their impact on the overall system performance. Since the classical Shannon's ergodic capacity fails to do so, the so-called effective rate was recently established as a rigorous alternative. While prior relevant works have improved our knowledge on the effective rate characterization of communication systems, an analytical framework encompassing several fading models of interest is not yet available. In this paper, we pursue a detailed effective rate analysis of Nakagami-m, Rician and generalized-K multiple-input single-output (MISO) fading channels by deriving new, analytical expressions for their exact effective rate. Moreover, we consider the asymptotically low and high signal-to-noise regimes, for which tractable, closed-form effective rate expressions are presented. These results enable us to draw useful conclusions about the impact of system parameters on the effective rate of different MISO fading channels. All the theoretical expressions are validated via Monte-Carlo simulations.

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

[2]  M. Nakagami.  The m-Distribution—A General Formula of Intensity Distribution of Rapid Fading , 1960 .

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

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

[5]  Hirofumi Suzwi,et al.  A Statistical Model for Urban Radio Propagation , 1977 .

[6]  H. Suzuki,et al.  A Statistical Model for Urban Radio Propogation , 1977, IEEE Trans. Commun..

[7]  R. E. Wheeler.  Statistical distributions , 1983, APLQ.

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

[9]  Samy A. Mahmoud,et al.  A comparison of indoor radio propagation characteristics at 910 MHz and 1.75 GHz , 1989, IEEE J. Sel. Areas Commun..

[10]  Asrar U. H. Sheikh,et al.  Indoor mobile radio channel at 946 MHz: Measurements and modeling , 1993, IEEE 43rd Vehicular Technology Conference.

[11]  K. Sohrabi,et al.  Wideband channel measurements at 900 MHz , 1995, 1995 IEEE 45th Vehicular Technology Conference. Countdown to the Wireless Twenty-First Century.

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

[13]  M. Evans.  Statistical Distributions , 2000 .

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

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

[16]  Antonia Maria Tulino,et al.  Multiple-antenna capacity in the low-power regime , 2003, IEEE Trans. Inf. Theory.

[17]  Hyundong Shin,et al.  Capacity of multiple-antenna fading channels: spatial fading correlation, double scattering, and keyhole , 2003, IEEE Trans. Inf. Theory.

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

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

[20]  Antonia Maria Tulino,et al.  High-SNR power offset in multiantenna communication , 2005, IEEE Transactions on Information Theory.

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

[22]  Norman C. Beaulieu,et al.  Accurate simple closed-form approximations to Rayleigh sum distributions and densities , 2005, IEEE Communications Letters.

[23]  Norman C. Beaulieu,et al.  Accurate closed-form approximations to Ricean sum distributions and densities , 2005, IEEE Communications Letters.

[24]  George K. Karagiannidis,et al.  On the performance analysis of digital communications over generalized-K fading channels , 2006, IEEE Communications Letters.

[25]  Murat Uysal.  Diversity analysis of space-time coding in cascaded Rayleigh fading channels , 2006, IEEE Commun. Lett..

[26]  Mohamed-Slim Alouini,et al.  Capacity of MIMO Rician channels , 2006, IEEE Transactions on Wireless Communications.

[27]  Parimal Parag,et al.  Quality of Service Analysis for Wireless User-Cooperation Networks , 2007, IEEE Transactions on Information Theory.

[28]  Parimal Parag,et al.  Resource Allocation and Quality of Service Evaluation for Wireless Communication Systems Using Fluid Models , 2007, IEEE Transactions on Information Theory.

[29]  Robert W. Heath,et al.  Shifting the MIMO Paradigm , 2007, IEEE Signal Processing Magazine.

[30]  Jia Tang,et al.  Quality-of-Service Driven Power and Rate Adaptation over Wireless Links , 2007, IEEE Transactions on Wireless Communications.

[31]  Jia Tang,et al.  Quality-of-service driven power and rate adaptation for multichannel communications over wireless links , 2007, IEEE Transactions on Wireless Communications.

[32]  Mohamed-Slim Alouini,et al.  On the Capacity of Generalized-K Fading Channels , 2007, GLOBECOM.

[33]  Deli Qiao,et al.  Analysis of Energy Efficiency in Fading Channels under QoS Constraints , 2008, IEEE GLOBECOM 2008 - 2008 IEEE Global Telecommunications Conference.

[34]  Lingjia Liu,et al.  On the effective capacities of multiple-antenna Gaussian channels , 2008, 2008 IEEE International Symposium on Information Theory.

[35]  D.I. Laurenson,et al.  A MIMO Channel Model Based on the Nakagami-Faded Spatial Eigenmodes , 2008, IEEE Transactions on Antennas and Propagation.

[36]  Daniel Benevides da Costa,et al.  Accurate Approximations to the Sum of Generalized Random Variables and Applications in the Performance Analysis of Diversity Systems , 2009, IEEE Transactions on Communications.

[37]  Eduard A. Jorswieck,et al.  Effective Capacity Maximization in Multi-Antenna Channels with Covariance Feedback , 2010, IEEE Trans. Wirel. Commun..

[38]  Josef A. Nossek,et al.  On the Capacity of Generalized- $K$ Fading MIMO Channels , 2010, IEEE Transactions on Signal Processing.

[39]  Caijun Zhong,et al.  On the capacity of non-uniform phase MIMO nakagami-m fading channels , 2010, IEEE Communications Letters.

[40]  Caijun Zhong,et al.  Effective Capacity of Correlated MISO Channels , 2011, 2011 IEEE International Conference on Communications (ICC).

[41]  Mustafa Cenk Gursoy,et al.  MIMO Wireless Communications Under Statistical Queueing Constraints , 2011, IEEE Transactions on Information Theory.

[42]  George K. Karagiannidis,et al.  On the Distribution of the Sum of Gamma-Gamma Variates and Applications in RF and Optical Wireless Communications , 2009, IEEE Transactions on Communications.

[43]  Michail Matthaiou,et al.  Generic Ergodic Capacity Bounds for Fixed-Gain AF Dual-Hop Relaying Systems , 2011, IEEE Transactions on Vehicular Technology.

[44]  F. Tufvesson,et al.  Channel measurements and analysis for very large array systems at 2.6 GHz , 2012, 2012 6th European Conference on Antennas and Propagation (EUCAP).