Analytic Framework for the Effective Rate of MISO Fading Channels

• Published in: IEEE transactions on communications Vol. 60; no. 6; pp. 1741 - 1751
• Main Authors: Matthaiou, Michail, Alexandropoulos, G. C., Ngo, H. Q., Larsson, E. G.
• Format: Journal Article
• Language: English
• Published: New York, NY IEEE 01.06.2012; Institute of Electrical and Electronics Engineers
• Subjects: Applied sciences; capacity; Delay; Delay constraints; effective rate; Exact sciences and technology; Fading; fading channels; multiple-input; multiple-input single-output (MISO) systems; performance analysis; propagation; quality; Quality of service; radio; rate adaptation; Rician channels; service driven power; Signal to noise ratio; single-output (MISO) systems; spectral efficiency; systems; Systems, networks and services of telecommunications; Telecommunications; Telecommunications and information theory; Transmission and modulation (techniques and equipments); Upper bound; wireless links; Fading channels; Performance evaluation; Fading; Monte Carlo method; Wireless telecommunication; Ergodicity; multiple-input single-output (MISO) systems; effective rate; Telecommunication system; Analytical method; Numerical simulation; Metric; Delay time; MISO system; Delay constraints
• ISSN: 0090-6778; 1558-0857; 1558-0857
• DOI: 10.1109/TCOMM.2012.040212.110783

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.